a)The functions that represent the flight of the clay disc in Factored Form will be,[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]
b)The function in its standard form is,[tex]\rm y =- \frac{1}{90} x^3 + \frac{4}{3} x[/tex].
c) The domain and range of the quadratic function with the context provided will be [0,120] and [0,40] respectively.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The given points represent on the graph is;
x = 0 , y = 0
x = 120 , y = 0
x = 60 , y = 40
The standard equation is;
[tex]\rm y = a(x-h)^2 +k \\\\ y = a(x-60)^2 +40 \\\\ 0 = sA(120-60) +40\\\\ 0= a \times 3600 + 40 \\\\ 3600 a = -40 \\\\ a = - \farc{1}{90}[/tex]
Substitute the value as;
[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]
b)
The above equation in the standard form is found as;
[tex]\rm y = \frac{-1}{90}(x^2 +3600 -120 x )+40 \\\\ y =- \frac{1}{90}(x^2 -40 + \frac{4}{3}x +40 \\\\ y = \frac{-1}{90} x^2 + \frac{4}{3}x[/tex]
c)The domain and range of the quadratic function with the context provided will be [0,120] and [0,40] respectively.
Hence, the functions that represent the flight of the clay disc in the factored form will be,[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]
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Find all solutions of the equation in the interval [0, 2π).
Answer:
x=0
Step-by-step explanation:
[tex]4 \cos(x) = - \sin {}^{2} (x) + 1[/tex]
[tex]4 \cos(x) = 1 - \sin {}^{2} (x) [/tex]
[tex]4 \cos(x) = \cos {}^{2} (x) [/tex]
[tex]4 \cos(x) - \cos {}^{2} (x) = 0[/tex]
[tex] \cos(x) (4 - \cos(x) ) = 0[/tex]
[tex] \cos(x) = 0[/tex]
[tex]x = 0[/tex]
[tex]4 - \cos(x) = 0[/tex]
[tex] \cos(x) = 4[/tex]
There is no solution here because cosine is undefined it the range is not between -1 and 1 so the only answer is 0.
c) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?
Answer:
1.8 hrs
Step-by-step explanation:
1.2 hr = 20 km/hr
A hr = 30 km/hr
(cross multiply)
30 x 1.2 = 20 x A
(30 x 1.2) / 20 = A
on simplifying...
1.8 = A
Therefore, it takes 1.8 hrs to travel 30 km/hr
[this is totally my method]
What is -4(5x-3)+12 simplified
Answer:
20x+24Step-by-step explanation:
-4(5x-3)+12
-20x+12+12
20x+24
my answer is 20x+24.
The simplified form of the given expression -4(5x-3)+12 would be 20x+24.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given;
-4(5x-3)+12
Open the bracket
-20x+12+12
Solve the like terms;
20x+24
Hence, the simplified form of the given expression -4(5x-3)+12 would be 20x+24.
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Answer ASAP!
Consider right triangle DEF below.
I need to know which two answers to click. Thanks!
Answer:
A and D
Step-by-step explanation:
Since tangent is opposite/adjacent,
Tan 40 in this case would be x/3.8 (i used x because we don't know what the value is)
So, you set it up as an algebra problem
Tan40 = x/3.8
Multiply both sides by 3.8
3.8tan40 = x, Option A
And then, angle E is 50 degrees
So tan 50 = 3.8/x
Multiply both sides by x
tan50x = 3.8
Divide both sides by tan50
x= 3.8/tan50
So, A and D are both correct
Which of the following sets of ordered pairs represents a function?
{(-6,-1), (13,8), (1,6), (1,-10)}
{(10,5), (10,-5), (5,10), (5,-10)}
{(3,5), (-17,-5), (3,-5), (-17,5)}
{(10,5), (-10,-5), (5,10), (-5,-10)}
The set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function , Option D is the correct answer.
The correct option 4 is
{(10,5), (-10,-5), (5,10), (-5,-10)}
What is a Function ?A function is a law that states relation between a dependent variable and an independent variable .
For a data to satisfy being a function ,
For every individual value of x , there should be one value of y
If there are two values for a single x then the data set doesn't represent a function but it shows a relation.
For Option 1,2 and 3 , for the same value of x there are two values of y and in only the last set the value is different.
Therefore the set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function
Option D is the correct answer.
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A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo?
The area of the logo using the length and the width is 162 cm²
Area of logoLength of logo = 16 cm
Width of logo = 12 cm
Area of logo = length × width
= 16 cm × 12 cm
= 192 cm²
Therefore, the area of the logo using the length and the width is 162 cm²
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HELP ANSWER FOR 30 POINTS
A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
Answer: 72 cubic inches
Step-by-step explanation:
The formula for the volume of a cone: [tex]\dfrac{1}{3}\pi r^{2}h[/tex]
Formula for the volume of a cylinder: [tex]\pi r^{2}h[/tex]
We are given that a cylinder should fit exactly inside the cone
Upon comparing the two equations above, we get:
[tex]$$Volume of cone = \dfrac{1}{3}\text{Volume of cylinder}[/tex]
Since we are given the volume of cone is 24 cubic inches, we can write down the below:
[tex]24 = \dfrac{1}{3}\text{Volume of cylinder }\\ \text{Volume of cylinder = 72 cubic inches}[/tex]
Therefore, we can conclude that if the volume of the cylinder is 72 cubic inches, then the cone with volume of 24 cubic inches can fit exactly in.
Answer:
[tex]V_{cylinder}=72\:in^3[/tex]
Step-by-step explanation:
[tex]V_{cone}=24\: in^3[/tex] (Given)It is given that: Cone fits exactly inside the cylinder.[tex]\implies V_{cylinder}=3*V_{cone}[/tex][tex]\implies V_{cylinder}=3*24[/tex][tex]\implies V_{cylinder}=72\:in^3[/tex]Write an equation in slope intercept form with the given information.
Slope = 4 and goes through point (3,0)
Answer:
y = 4x - 12
Step-by-step explanation:
The line with equation y = mx + 3 intersects the line with equation 3x + 4y + 12 = 0 at the point (1, −15/4) Find the value of m.
The value of m will be; m = (-∞ , - 15/4) ∪ ( 1 , ∞ ).
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given: line y = mx + 3 intersects the line 3x + 4y + 12 = 0 at two distinct points.
To find the set of values of m.
The system of equations are;
y = mx + 3
3x + 4y + 12 = 0
The intersection point are (1, −15/4)
So, the value of m will be
m = (-∞ , - 15/4) ∪ ( 1 , ∞ )
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What is the length of segment AB?
7
9
18
25
Answer:
Nobody likes a short, one-word-answer. Let’s make sure other people understand everything.
Step-by-step explanation:
By lisa Simpson
Answer:
9
Step-by-step explanation:
insert one rational number between 5 and 5.25
Answer:
5.1
Step-by-step explanation:
A rational number is any number that can be written as a fraction, or is a decimal that terminates or repeats.
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answer:
In the given Triangle problem, the three options are:
1. m∠5 + m∠6 = 180°
2. ∠2+ ∠3 = ∠6
3. m∠2 + m∠3 + m∠5 = 180°
Step-by-step explanation:
Concept: Consider Δ ABC with Exterior angles ∠1, ∠4 and ∠6.
Use the Exterior angle Property of Triangle which says that an exterior angle of a triangle is equal to the sum of the opposite interior angles.
For Exterior angle ∠1 we have:
∠1 = ∠5 + ∠3
Similarly, for Exterior ∠4 we have:
∠4 = ∠5 + ∠2
Similarly, for Exterior ∠6 we have:
∠6 = ∠2 + ∠3
Now, use the Triangle Sum Property which states that in a triangle sum of the measures of angles is equal to 180°
m∠2 + m∠3 + m∠5 = 180°
Linear Pair:
The measure of a straight angle is 180°, so a linear pair of angles must add up to 180°.
m∠5 + m∠6 = 180°
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Pls help i give 25 points
Answer:
[tex]\mathsf {11 \frac{1}{5} }[/tex] tons of concrete
Step-by-step explanation:
Here we need to divide fractions.
Concrete made :
Tons of total sand / Tons used to make a ton of concrete[tex]\mathsf {4\frac{4}{5} \div \frac{3}{7} }[/tex][tex]\mathsf {\frac{24}{5} \div \frac{3}{7} }[/tex][tex]\mathsf {\frac{24}{5} \times \frac{7}{3} }[/tex][tex]\mathsf {\frac{56}{5}}[/tex][tex]\mathsf {11 \frac{1}{5} }[/tex] tons of concretehey! Solving linear equations with integers! i don’t think it should be that hard since it’s practice, I just need some help with a bit more problems! :’)
1) -3 ( 3 - x ) = 2x + 5
2) -6 - 9p = + 3p
3) -5 (-4 - a ) = 3a + 8
4) s - 6 = -5s
that should be it! Ty
Solution 1 :-
>> -3 (3 - x) = 2x + 5
>> -3 × (3 - x) = 2x + 5
>> -9 + 3x = 2x + 5
>> 3x - 2x = 9 + 5
>> x = 14
Solution 2 :-
>> -6 - 9p = 3p
>> -9p - 3p = 6
>> -12p = 6
>> p = -1/2
Solution 3 :-
>> -5 (-4 - a) = 3a + 8
>> -5 × (-4 - a) = 3a + 8
>> 20 + 5a = 3a + 8
>> 5a - 3a = 8 - 20
>> 2a = -12
>> a = -12 / 2
>> a = -6
Solution 4 :-
>> s - 6 = -5s
>> s + 5s = 6
>> 6s = 6
>> s = 6 / 6
>> s = 1
Answer:
1) x = 14
2) p = - [tex]\frac{1}{2}[/tex] (- 1/2)
3) a = -6
4) s = 1
work shown in image :)
hope this helps!!
which statement is true about fiction
Answer:
The function is even because of symmetry over x axis
HELP MEE ,25 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r
Based on the four expressions written above (image attached) one can say that She is right about the remaining four expressions as they all can shown or expressed as binomials.
What is Binomial Distribution?
Binomial distribution is known to be a kind of probability distribution whos models or show the probability of getting one of two outcomes in any said number of points or parameters.
Note that:
5abc -2a² + 6abc
Add like terms
= 11abc - 2a²
5x³∙ 2x² -10x⁴ +3x⁵+ 3x∙(-2) x⁴
Simply
=5 . 2x³⁺² - -10x⁴ +3x⁵+ 3x∙ 2x⁴
=10x³⁺² -10x⁴ +3x⁵+ 3∙ 2xx⁴
= 7x⁵ + 10x⁴
(t+2)²-4t
Simply
= (t² + 2t.2 + 2²) - 4t
= (t² + 2t.2 + 4) - 4t
= t² + 4
The same applies for the rest. Therefore, one can say that Based on the four expressions written above (image attached) one can say that She is right about the remaining four expressions as they all can shown or expressed as binomials.
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WILL GIVE BRAINLIEST!!!! *20 points*
Answer:
g(-0.0001) = -9
g(0.0001) = -1
g(0) = -1
g(9) undefined
Step-by-step explanation:
g(9) undefined .because the graph have an empty circle
at (9 , 0) which means g is not defined at 9.
Find the length of side AB.
Give your answer to 3 significant figures.
Answer:
[tex]\huge\boxed{\sf AB = 8.86 \ cm}[/tex]
Step-by-step explanation:
Given:θ = 41°
Hypotenuse = BC = 13.5 cm
Required:opposite = AB = ?
We will use the trigonometric ratio of sin.
Solution:[tex]\displaystyle sin \ \theta = \frac{opposite }{hypotenuse} \\\\sin \ 41=\frac{AB}{13.5} \\\\0.656 = \frac{AB}{13.5} \\\\0.656 \times 13.5 = AB\\\\8.86 \ cm = AB\\\\\boxed{ AB = 8.86 \ cm}\\\\\rule[225]{225}{2}[/tex]
18
1 point
The scatter plot shown below would best be modeled by a line of best fit.
True
False
G
0
The statement about using the line of best fit for the given scatter plot is; False
How to interpret a scatter plot?When we have a scatter plot, it is always best to look for the line of best fit or curve of best fit depending on the nature of the variation of the plotted points.
Now, from the scatter plot image attached, we can see that the points are already looking like a curved plot form and so what we will need her will be a curve of best fit and not a line of best fit plot and as such the statement about using a line of best fit plot is false.
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Randy and trey take turns cleaning offices on the weekends. it takes randy at most 4 hours to clean the offices. it takes trey at most 6 hours to clean the offices. what is the greatest amount of time it would take them to clean the offices together?
Answer:
2.4 hours
Step-by-step explanation:
Because 1 hour Randy clean 1/4 of the room and Trey is 1/6. So we add both together and get that they clean 5/12 of the office in one hour. So 2.4 hours is the greatest amount of time it would take them to clean offices together
Which of the following describe an angle with a vertex at E.
Answer:
A and B are correct
Step-by-step explanation:
The middle letter represents the vertex of an angle. For instance, angle ABC has a vertex at B. Because the letter "e" is in the middle of angle FED and angle DEF, it represents the vertex of those angles. Hope this helps
I need the answer too this fasttt.
Answer:
I'm pretty sure its a since if the exponints negite they drop the the bottom and non of the others look right
Hope This Helps!!!
Answer:
1/r^7 + 1/s^12
Step-by-step explanation:
See attached image.
Select all the correct locations on the graph. Oliver is riding his bike to visit some friends. Every two minutes, he bikes 1,760 feet. Identify the pair of points you can use to create the line representing how far he has traveled in terms of time spent biking.Select all the correct locations on the graph. Oliver is riding his bike to visit some friends. Every two minutes, he bikes 1,760 feet. Identify the pair of points you can use to create the line representing how far he has traveled in terms of time spent biking.
Answer:
(0, 0) and (2, 1760)Step-by-step explanation:
Pretty sure that is the answer.
Solve for h in A = ½ ah - ½ bh. Solve for h in A = ½ ah - ½ bh .
Answer:
h = A / ( 1/2 a - 1/2 b)
Step-by-step explanation:
A = ½ ah - ½ bh
Factor out an h
A = h( 1/2 a - 1/2 b)
Divide each side by ( 1/2 a - 1/2 b)
A / ( 1/2 a - 1/2 b) = h ( 1/2 a - 1/2 b)/ ( 1/2 a - 1/2 b)
A / ( 1/2 a - 1/2 b) = h
h = A / ( 1/2 a - 1/2 b)
A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?
HELP WILL NAME BRAINLIEST
Answer:
The diver's position in feet (depth) when she swims with dolphins is -83 feet.
Step-by-step explanation:
First highlight the important information from the question.
A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?
So, first she descends -128 feet, then she ascends 45 feet to swim with dolphins. So, now that we have the important information highlighted we can solve the problem.
-128+45=-83.
The diver's position in feet (depth) when she swims with dolphins is -83 feet.
Hope this helps!
If not, I am sorry.
Give the equation of a line that goes through the point ( 4 , 9 ) and is parallel to the line − 3 x + 7 y = 21 .
Answer:
[tex]\sf y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]
Step-by-step explanation:
Given equation: -3x + 7y = 21
Slope-Intercept Form: y = mx + b -
where:
m is the slopeb is the y-intercept (when x = 0)Note: parallel lines have the same slope.
1. Rewrite the given equation in slope-intercept form:
[tex]\sf -3x + 7y = 21\ \textsf{[add 3x to both sides]}\\\\-3x + 3x + 7y = 21 + 3x\\\\7y = 3x + 21\ \textsf{[divide both sides by 7]}\\\\\dfrac{7y}{7}=\dfrac{3x+21}{7}\\\\\implies y=\dfrac{3}{7}x+3[/tex]
Here, this equation has a slope of ³⁄₇ and a y-intercept of 3.
2. Find the equation of the parallel line:
substitute the point (4, 9) into the equation to find the value of b
[tex]\sf y=\dfrac{3}{7}x+b\\\\9=\dfrac{3}{7}(4)+b\\\\9=\dfrac{12}{7}+b\\\\\dfrac{63}{7}-\dfrac{12}{7}=\dfrac{12}{7}-\dfrac{12}{7}+b\\\\\dfrac{51}{7}=b[/tex]
[tex]\sf \textsf{Equation:}\ y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]
3. Check your work:
[tex]\sf y=\dfrac{3}{7}x+\dfrac{51}{7}\\\\9=\dfrac{3}{7}(4)+\dfrac{51}{7}\\\\9=\dfrac{12}{7}+\dfrac{51}{7}\\\\9=\dfrac{63}{7}\\\\9=9\ \checkmark[/tex]
[tex]\sf \textsf{Therefore, the equation of the parallel line is:}\ y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]
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Answer:
[tex]\sf y=\dfrac{3}{7} x+\dfrac{51}{7}[/tex]
Step-by-step explanation:
First, write the given equation in slope-intercept form. That is, you can make y the subject in the given equation.
Slope intercept form
y = mx + c
Here,
m = slope
c = y-intercept
Let us write the given equation in slope-intercept form.
− 3x + 7y = 21
Add 3x to both sides.
7y = 3x + 21
Divide both sides by 7.
[tex]\sf y=\dfrac{3}{7}x +\dfrac{21}{7} \\\\y=\dfrac{3}{7}x +3[/tex]
We know that the slopes of parallel lines are equal. Therefore, the slope(m) of the new line is 3/7.
The new line is going through ( 4, 9 ). Using that, let us find the value of c (y-intercept), by substituting the values of m, y, and x.
( 4, 9 ) → ( x , y )
m → 3/7
Let us find the value of c
[tex]\sf y = mx+c\\\\9 =\dfrac{3}{7}*4+c\\\\ 9=\dfrac{12}{7}+c\\\\ 9-\dfrac{12}{7}=c\\\\\dfrac{63-12}{7} =c\\\\\dfrac{51}{7} =c[/tex]
And now let us write the equation of the new line.
[tex]\sf y =mx+c\\\\\sf y=\dfrac{3}{7} x+\dfrac{51}{7}[/tex]
Mr Holmes paid a fixed charge of $125 plus $55 for each kwh of electricity used. how much did he pay for using 75 kwh if electricity?
A website sells a dress at £50 and shoes at £43.
The website has an offer:
Buy a dress and shoes together and get
1
3
off the price.
There is also a shipping and handling charge of £7 added at the end, after any discount.
If Ruth buys both a dress and shoes, how much will she actually pay?
Answer:
£69
Step-by-step explanation:
Given information:
Cost of dress = £50Cost of shoes = £43Discount offer: Buy a dress and shoes together and get 1/3 off the price.Shipping & handling charge = £7 (added after the discount is applied)Cost of buying a dress and shoes:
⇒ £50 + £43 = £93
Discount:
⇒ 1/3 of £93 = 1/3 × 93 = £31
Cost of goods after discount is applied:
⇒ £93 - £31 = £62
Addition of shipping and handling:
⇒ £62 + £7 = £69
Therefore, Ruth will pay £69 if she buys a dress and shoes.
Select the correct answer.
What is the solution for x in the equation?
4x-3+5=2x+7-8x
OA.x= -2
OB.x= 2
OC. = 1/2
OD.* = -1/2
[tex]\large\displaystyle\text{$\begin{gathered}\sf 4x-3+5=2x+7-8x \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Simplify \ both \ sides \ of \ the \ equation. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+-3+5=2x+7+-8x } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{(4x)+(-3+5)=(2x+-8)+(7) \ (Combine \ like \ terms) } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2=-6x+7 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Add \ 6x \ to \ both \ sides.} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2+6x=-6x+7+6x } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2=7 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Subtract \ 2 \ from \ both \ sides. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2-2=7-2 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x=5 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Divide \ both \ sides \ by \ 10.} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{10x}{10}=\frac{5}{10} } \end{gathered}$}[/tex][tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{1}{2} } \end{gathered}$}}} \large\displaystyle\text{$\begin{gathered}\sf \ \ \to \ \ \boldsymbol{Answer} \end{gathered}$}[/tex]↓
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Verification} \end{gathered}$}[/tex]
[tex]\sf{4\times\dfrac{1}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
[tex]\sf{\dfrac{4}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
[tex]\sf{2-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
Cancel 2
[tex]\sf{2-3+5=1+7-8\times\dfrac{8}{2} }[/tex]
[tex]\sf{2-3+5=1+7-\dfrac{8}{2} }[/tex]
[tex]\sf{2-3+5=1+7-4 }[/tex]
[tex]\sf{-1+5=1+7-4}[/tex]
[tex]\sf{4=1+7-4}[/tex]
[tex]\sf{4=8-4}[/tex]
[tex]\sf{4=4}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Checked} \end{gathered}$}[/tex]
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
What are the features of the quadratic function f(x)=(x-3)(x+7)?
Answer:
It's vertex (-2,-25)x-intercept x₁=-7,x₂=3y-intercept f(0)=-21domain,xER or x is an element of real numberit's neither even nor odd function