The descriptive answer of different part is described below.
What is Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
Here, Studio A rents for $75 plus $75 an hour .
Studio B rents for $150 and $50 an hour.
Let t = the number of hours and c = cost.
Part A
Studio A: c = 75 +75·t
Studio B: c = 150 +50·t
Part B
We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.
150 +50·t = 75 +75·t, subtract 75 and 50t from both sides
150 -75 = 75t -50t, combine likes terms
75 = 25t, divide both sides by 25
3 = t
Now we know that t = 3 so we find c by substituting t with 3 in the second equation.
c = 150 +50·t
c = 150 +50·3
c = 300
The solution of the system of equations is c = 300 and t = 3
Part C:
The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.
The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.
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Which equations are true for x = -2 and x = 2? Select two options
Ox²-4 = 0
0x²= -4
3x² + 12 = 0
14x² = 16
2(x-2)² = 0
Answer:
x2-4 = 0
x2= 4
x = 2 or x = (-2)
The equations that are true for x = -2 and x = 2 are:
x² - 4 = 0
2(x - 2)² = 0
Options A and D are the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
The values given for x are -2 and 2.
Therefore, we can substitute each value of x into the given equations to determine which are true for those values.
x² - 4 = 0
When x = -2, we have (-2)² - 4 = 0, which is true.
When x = 2, we have (2)² - 4 = 0, which is also true.
x² = -4
When x = -2, we have (-2)² = 4 which is not equal to -4, so this equation is false for x = -2.
When x = 2, we have (2)² = 4 which is not equal to -4, so this equation is false for x = 2.
3x² + 12 = 0
When x = -2, we have 3(-2)² + 12 = 0, which is false.
When x = 2, we have 3(2)² + 12 = 24, which is not equal to 0.
Therefore, this equation is false for x = 2.
14x² = 16
When x = -2, we have 14(-2)² = 56, which is not equal to 16.
Therefore, this equation is false for x = -2.
When x = 2, we have 14(2)² = 56, which is also not equal to 16.
Therefore, this equation is false for x = 2.
2(x-2)² = 0
When x = -2, we have 2(-2-2)² = 0, which is not equal to 0.
Therefore, this equation is false for x = -2.
When x = 2, we have 2(2-2)² = 0, which is equal to 0.
Therefore, this equation is true for x = 2.
Therefore,
The equations that are true for x = -2 and x = 2 are:
x² - 4 = 0
2(x-2)² = 0
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Which pair of expressions are equivalent using the Associative Property of Multiplication?
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
4(2a ⋅ 5) = 8a ⋅ 20
4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5
Answer:
4 (2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Step-by-step explanation:
Suppose the measures of the interior angles of a convex quadrilateral are four consecutive odd numbers. Find the measure of the third angle.
Answer:
91 degrees
Step-by-step explanation:
Sum of angles in a quadrilateral: 360 degrees
87, 89, 91, 93 are four consecutive odd numbers that add up to 360
third angle is 91 degrees
This.is my question
Since we have given that
Measure of revolution = 360°
Now, the measure of [tex]\frac{3}{4}[/tex] of revolution.
So, it becomes,
[tex]\frac{3}{4}[/tex]×360
= 3 × 90
= 270
Hence, the measure of 3/4 of revolution is 270°.
Hope this helped and have a good day
What is the equation of the line that has a slope of 3 and passes through the point (1,-2)?
Y=3x+5
Y=3x-5
Y=3x+1
Answer:
y = 3x - 5
Step-by-step explanation:
y = mx + b
y - b = mx
-b = mx - y
b = -mx + y
b = -3(1) -2
b = -5
Which statement is true about the end behavior of the
graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go
to positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
values go tO positive infinity.
Answer:
As the x-values go to positive infinity, the function's
values go to negative infinity.
Step-by-step explanation:
upon viewing the graph you will notice that the function in blue will appear to go down (negative) as you follow the x to the right, in the positive direction.
Making your answer to be as the x goes to positive inf (right) the values of the function go to negative inf (down).
Evaluate the expression.
{[(30 – 60) ÷ (-30)]² – 15} ÷ (-7)
What is the value of the expression?
Answer:
22/7
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
(30–60)= –30
[‐30÷(–30)]²=1
{1–15}=–14
–14÷(–7)=2
Choose the expression that represents a cubic expression
2x + 11
The correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11
The correct question is as given below:-
Need help ASAP. Choose the expression that represents a cubic expression.
a. 2x + 11
b . −3x² − 2x + 11
c . 4x³ − 3x² − 2x + 11
d . 5x⁴ + 4x³ − 3x² − 2x + 11
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The polynomial having a degree of three is called the cubic polynomial which means that the maximum power of the polynomial will be three and the solutions will also be three.
Here in the option, we can see that the maximum power of the polynomial is three and it will have a maximum of three solutions.
The third-degree expression will be:-
E = 4x³ − 3x² − 2x + 11
Therefore the correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11
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help
Divide.
22.7 ÷ 0.04
Answer:
567.5
Step-by-step explanation:
it's 567.5. please add me to your followers
y=x^2 -2x -3 im not sure how to solve this
Answer:
It is solved on a graph
Step-by-step explanation:
A quadratic graphical solution.
A cylindrical can has a height of 19 cm and a radius of 6 cm. The volume of the cylindrical can is decreasing at a rate of 563 cubic cm per second, with the height being held constant. What is the rate of change of the radius, in cm per second, when the radius is 6 cm?
Round your answer to the nearest hundredth.
The rate of change of radius at radius 6cm is 0.79 cm/sec.
The rate of change of a function is simply the derivative of the function with respect to the changing parameter in the function i.e. variable in the function.
So for calculating the rate of change of radius, we calculate the rate of volume change as volume is the function of radius.
As we know volume of the cylinder is given by V=πr²h
where r is the radius and h is the height of the cyclinder.
Given that rate of change of volume = 563 cm/sec
⇒ dV/dt =563 cm/sec
⇒ d(πr²h)/dt =563
taking πh outside the derivative as π and h is constant term
⇒ πh dr²/dt =563
⇒ πh (dr²/dr)(dr/dt)= 563 (applying chain rule dy/dx = (dy/du)(du/dx))
⇒ πh(2r)(dr/dt) =563
⇒dr/dt= 563/(2πhr)
given height of the cylinder h= 19cm
rate of change of radius at radius r =6cm= dr/dt= 563/(2πhr)= 563/(2*π*19*6)= 0.79 cm/sec
Therefore rate of change of radius at radius 6cm is 0.79 cm/sec.
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Write an equation of a line in slope-intercept form that passes through (-2, 1) with a slope of 5. Write an equation of a line in slope - intercept form that passes through ( -2 , 1 ) with a slope of 5 .
Answer:
y = 5x + 11
Step-by-step explanation:
We are given that a line passes through (-2, 1) and also it contains a slope of 5
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y axis
As we are already given the slope, we can immediately substitute it into the formula
Replace m with 5 in y=mx+b:
y = 5x + b
Now we need to find b
As the equation passes through the point (-2, 1), we can use its values to help solve for b.
Substitute -2 as x and 1 as y:
1 = 5(-2) + b
Multiply
1 = -10 + b
Add 10 to both sides
11 = b
Substitute 11 as b in the equation
y = 5x + 11
Topic: finding the equation of the line
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Pam ask you to help her with the catering for the funeral. you decide to use juice concentrate to serve as a refreshing drink. to create this delicious you must dilute the concentrate in the ratio 1:4 you must make 25litres of juice. what volume of concentrate is needed to make the juice
Answer:
6.25 litres
Step-by-step explanation:
ratio 1:4
25/4 = 6.25
4 * 6.25 = 25
1 * 6.25 = 6.25
= 6.25 litres of concentrate
Answer:
6.25 litres of juice concentrate
Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digit can
repeat. What is the probability of choosing a random number that starts with 5 from this group? Enter a fraction or round your answer to
4 decimal places, if necessary.
Answer:
1/4 or 0.25
Step-by-step explanation:
The total possibilities of any 7 digit number using 0-9 is :
9×10×10×10×10×10×10=9000000
To work out the total possibilities in this question :
We look at the conditions :
The first digit can only be 5 numbers :
1 , 3 , 5 , 7 , 9
Now we subtract 5 from 9 :
9-5 = 4
Since no repeats for 2 , 3 , 4, 5, 6:
9 , 8 , 7 , 6 , 5,
5 possibilities for the last digit :
Total possibilities for this code :
4 × 9 × 8 × 7 × 6 × 5 × 5 = 302400
If it begins with 5 that is only 1 possibility for the first digit
1 × 9 × 8 × 7 × 6 × 5 × 5 = 75600
Now we make a fraction :
75600÷302400
Dividing top and bottom by 75600 gives you 1/4 or 0.25
Hope this helped and have a good day
Answer:
Step-by-step explanation:
Comment
The first digit and the last digit are both odd. That tells you that so far what you have is one of 5 digits for the first digit and and one of 4 for the last digit. 4 because you can't repeat the first digit.
5, , , , , ,4
2 digits are gone 8 remain.
5* 8 * 7* 6* 5* 4* 4 = 134400
Part 2
Only one number can go at the beginning, and that is a 5. Everything else remains the same.
1 * 8 * 7 * 6 *5 * 4 * 4 = 26880
P(picking a number beginning with a 5 is 25880 /13440) = 0.2
42+48/6=?
48/6 meaning a fraction not division
Answer:
50
Step-by-step explanation:
Fractions are division problems. :) You have to complete that first to solve the equation (PEMDAS).
48/6 = 8
42 + 8 = 50
Which function is graphed below?
The graph of the function is y = arcsec(x).
What is the scale factor from ABC to DEF?
A. 2
B. 1/2
C. 3
D. 1/3
Answer:
The scale factor is 3 C)as ABC = 3* DEF
AB = 5
DE = 15 = 5*3
AC = 3
DF = 9 = 3*3
BC = 4
EF = 12 = 4 * 3
24. Demography A city has a population of 71,500. Ten years ago the population
was 32,500. What percent of the population 10 years ago is the population now?
Use the proportion method.
Answer:
45.5%
Step-by-step explanation:
The increase in population was 45.5%
Rationalize the Denominator
2i/i-2
Answer:
2-4i/5
Step-by-step explanation:
[tex]\frac{2i}{i-2} *\frac{i+2}{i+2}\\=\frac{2i(i+2)}{i^2-4}\\= \frac{2i(i+2)}{-1-4}\\ =\frac{2i(i+2)}{-5} \\ = \frac{-2 + 4i}{-5}\\ =( 2 - 4i )/ 5[/tex]
Answer:
[tex]\frac{2i}{i-2}=\frac{2-4i}{5}[/tex]
Step-by-step explanation:
[tex]\frac{2i}{i-2}[/tex] (Given)[tex]=\frac{2i}{i-2}\times \frac{i+2}{i+2}[/tex] [Multiply numerator and denominator both by (i + 2)][tex]=\frac{2i(i+2)}{(i-2)(i+2)}[/tex][tex]=\frac{2i^2+4i)}{i^2-2^2}[/tex][tex]=\frac{2(-1)+4i)}{-1-4}[/tex][tex]=\frac{-2+4i)}{-5}[/tex][tex]=\frac{2-4i)}{5}[/tex][tex]\implies \frac{2i}{i-2}=\frac{2-4i}{5}[/tex]Please help quickly!!
Answer:
D
Step-by-step explanation:
If anyone can help me to solve this.
Explanation:
Equation: x + 1 = 9
Solving Steps:
x + 1 = 9 (subtract both sides by 1)
x + 1 - 1 = 9 - 1 (simplify the following)
x = 8
Then check for solution:
x + 1 = 9
[insert x = 8]
8 + 1 = 9
9 = 9
As both sides are equal, the statement is true.
[tex]\large\underline{ \cal{SOLUTION:}}[/tex]
[tex] \large \bold{x + 1 = 9}[/tex]
[tex] \large \bold{x = 9 - 1}[/tex]
[tex] \large \bold{x = \red{8}}[/tex]
[tex] \: [/tex]
[tex]\large\underline{ \cal{CHECKING:}}[/tex]
Put x = 8[tex] \large{ \bold{ \underline{ \red{8} }+ 1 = 9}}[/tex]
___________________________________[tex] \large \bold{-N} \frak{unx-}[/tex]
PLEASE HELP I WILL GIVE BRAINLEST!!!!!!
Below is the graph of a polynomial function with real comedic fangs. All local extreme of the function are shown in the graph.
Use the graph to answer the following questions.
(a) over which intervals is the function decreasing? Choose all that apply.
(-∞,-8) (-8,-4) (-4,0) (0,5) (-4,5) (9, ∞)
(b) At which x-values does the function have local minima? If there is more than one value seepage them with commas.
(C) what is the sign of the function’s leading coefficient?
Answers are positive, negative, not enough time
(D) which of the following is a possibility for the degree of the function? Choose all that apply
4 , 5 , 6 , 7 , 8 , 9
Part (a)
Decreasing means that as x increases, y decreases.
So the intervals are [tex](-8, -4), (0, 5), (9, \infty)[/tex]
Part (b)
A local minimum is where the function changes from decreasing to increasing.
So, the local minima are at [tex]x=-4, 5[/tex]
Part (c)
The function is approaching negative infinity as x approaches both positive and negative infinity, so the leading coefficient is negative
Part (d)
The degree is given by the number of roots (including multiplicity).
From the graph, we see there is a single root at x = -6, a single root at x = -1, a single root at x = 1, a single root between x=6 and x=8, and a single root at around x = 10.
Thus, there are a minimum of 5 roots for the graph (there could be more outside of the given section)
However, since the graph has the same end behavior in both directions, the degree must be even.
So, the possible answers are any even number that is at least 6
I’m going to need a serious answer through this one or I’m screwed.
Answer:
A = 60 ft²
Step-by-step explanation:
the area (A) of the shaded sector is calculated as
A = area of circle × fraction of circle
= 90 × [tex]\frac{240}{360}[/tex]
= 90 × [tex]\frac{2}{3}[/tex]
= 30 × 2
= 60 ft²
Answer:
58.83 ft^2
Step-by-step explanation:
Finding the radius:
A = πr^2
90 = πr^2
90/π = r^2
28.6 = r^2
5.3 = r
Using the area of a sector of a circle formula:
θ/360 x πr^2
240/360 x π(5.3)^2
= 58.83 ft^2
y = 5x+1150Use your functions to calculate the total cost for each fridge after 6 months.
New Fridge:
Answer:
[tex]x = \frac{y - 1150}{5} [/tex]
Step-by-step explanation:
[tex]y - 1150 = 5x \\ \frac{y - 1150}{5} = x \\ x = \frac{y - 1150}{5} [/tex]
Which statement is true about the graphs of the two lines y= -4/5x + 2 and y = - 5/4x - 1/2?
They have no relation, except for the fact that they intersect.
We have given that,
The graphs of the two lines y= -4/5x + 2 and y = - 5/4x - 1/2
If the equations were instead y = +5/4x - 1/2 and
What is the slope of the perpendicular line?Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0. The slope of the parallel line is undefined and the slope of the perpendicular line is 0.
y = -4/5x + 2, or
y = +4/5 + 2 and
y = -5/4x -1/2,
Then they would be perpendicular.
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16x^2+?x+36 perfect square trinomial
Answer:
16x² +48x +36
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a +b)² = a² +2ab +b²
We want to match this form.
__
comparing termsComparing the known terms, we see ...
16x² = a² ⇒ a = 4x
36 = b² ⇒ b = 6
filling in the missing termThe missing term is the linear term:
2ab = 2(4x)(6) = 48x
? = 48
Juan is learning about like terms in his math class. He must check all the combinations below that are like terms which ones should he check? 3x and x 1/4 and 0.5 -m and 8m -xy2 and 2xy2 y and y2 4xy and -5x2y m and n -7 and 6
Answer:
he should check
3x and x
1/4 and 0.5
-m and 8m
-xy2 and 2xy2
Step-by-step explanation:
Answer:
The answer is A B C D H
Step-by-step explanation:
Anjali wrote a 30-item multiple choice exam and answered every question. She got 8 points for each correct item. She lost 2 points for each incorrect item. Her total score was 150 points. How many items did she answer correctly?
She did 21 question correctly.
Correct Answer :Let number of correct answers : x
Let number of wrong answer : y
Given, Total question wrote : 30
So,
x + y = 30 (i) - equation
Got 8 point on each correct answer, total point : 8*x
Got -2 point on each wrong answer, total point : (-2)*y
Total point she score was : 150 (given)
so, our next equation is
8*x - 2*y = 150 (ii) - equation
y = 30 - x [from (i) - equation]
put in (ii) - equation, we get
8*x - 2*(30 - x) = 150
8*x - 60 + 2*x = 150
10*x = 210
x = 21
Therefor, only 21 answers are correct.
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Another job is advertising leaflets printed on sheets of A4 paper (210 x 297 mm).
The sheets are then folded into thirds as shown.
What are the measurements in millimetres of each folded leaflet?
5%3×4+14-15 answers thes questions
Dakota has four yardsticks and two 12-inch rulers.If she lays all four of the yardsticks and both rulers end-to-end,what is the maximum number of feet she can measure accurately at once? PLEASE EXPLAIN
E.12 ft
F.14ft
G.16 ft
H.!8ft
Answer:
[tex]\huge\boxed{\sf 14\ ft}[/tex]
Step-by-step explanation:
Yard sticks = 4
12-inch rulers = 2
All are placed end to end.
Converting yard and inch to feet:4 yardsticks into feets:We know that,
1 yard = 3 feet
4 yards = 3 × 4 feet
4 yards = 12 feet
2 12-inch ruler into feet:We know that:
1 inch = 0.083 feet
24 inch = 0.083 × 24 feet
24 inch = 2 feet
The maximum number of feet she can measure exactly:= 4 yardsticks + 2 12-inch rules
= 12 ft + 2 ft
= 14 ft
[tex]\rule[225]{225}{2}[/tex]