Solve x2 + 4x – 4 = 0
Answer:
Quadratic Equations! Yes!
Step-by-step explanation:
Now, there are three methods to solving this:
1.Quadratic Formula
2.Factoring
3. Completing the square
Now, Based on the answers, I think it would be better if we used Quadratic Formula, as you cannot get the answer easily with factoring, and I'm a bit rusty on completing the square.
So, Quadratic Formula! To solve it using this method, we have to find x using this: [tex]x=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex](the +- before the square root means it could be both positive or negative)
Where a, b are coefficients and c is a term(in a quadratic equation form: [tex]ax^{2} +bx+c=0[/tex])
So, we just have to input the stuff from our equation into the formula!
[tex]x=\frac{-4+-\sqrt{32} }{2}[/tex]
Now, we can simplify the square root of 32 into 4 times the square root of 2
[tex]x=\frac{-4+-4\sqrt{2} }{2}[/tex]
And, we can divide 2 from it all!
[tex]x=-2+-2\sqrt{2}[/tex]
So, there you have it! The Answer is C, or 3.
Hope this helps!
What is the degree of x^4 - 3x + 2?
A. 2
B. 5
C. 3
O O
D. 4
Answer:
4
Step-by-step explanation:
it's the degree of the term with the maximum degree not a sum
What is the equation of the line that passes through (0, 3) and (7,0)?
y-ix-3
3
y=x+3
3
y y=-7x+3
y=-x-3
Answer:
The equation of the line in slope-intercept form is:
[tex]y=-\frac{3}{7} x+3\\[/tex]
In one of the many possible standard forms:
[tex]3\,x+7\,y=21[/tex]
Step-by-step explanation:
First calculate the slope of the segment that joins these two points: (0, 3) and (7,0):
[tex]slope=\frac{y_2-y_1}{x_2-x_1}= \frac{0-3}{7-0}=-\frac{3}{7}[/tex]
Now, knowing that the y-intercept is (0, 3) [point on the y-axis (for x=0) where the line crosses], Then the equation of the line in slope-intercept form is:
[tex]y=m\,x+b\\y=-\frac{3}{7} x+3[/tex]
And now, if you want to write the equation eliminating fractions, we can multiply both sides by "7":
[tex]y=-\frac{3}{7} x+3\\7\,y=-3\,x+21\\3\,x+7\,y=21[/tex]
what is the slope of the line that contains the points (-2,8) and (-2,1)
Answer:
0
Step-by-step explanation:
because -2 does not change
Answer:
Undefined
Step-by-step explanation:
To find the slope, you need the formula, y₂-y₁ divided by x₂-x₁.
That is 1-8 divided by -2-(-2), or -7 divided by 0.
Anything divided by 0 is undefined, so the answer is undefined.
Edit: I might be wrong, IDK.
PICTURE ONE IS FOR THESE BELOW
What is the value of ∠DOB in the following figure?
The measure of an angle is 89°. Find the measure of its supplement.
------------------------------------------------------------------------------------------------------------
Determine if triangles can be formed with the following side lengths:
1.) 4 cm, 7 cm, 10 cm
2.) 24 mm, 20 mm, 30 mm
Answer:
1: n=17
2: x=24 w=37
Step-by-step explanation:
1st picture: 180-108=72/2=34/2=17=n
2nd Picture: 90+19= 109
109+x+w=180
138+90=228
270-228=52
138+52+90+19=299
360-299=61
x=24 w= 37
The library made a table to track the number of fiction and nonfiction books checked out for 6 days.
On the first day, 18 fiction books are checked out, and 12 nonfiction books are checked out.
Each day after 18 fiction books are checked out, and 12 nonfiction books are checked out.
Drag the numbers from the box to complete the table.
Numbers may be used once, more than once, or not at all.
Step-by-step explanation:
6 days+12 days=18
so 18 fiction books+12 non fiction=20 fiction and 10 non fiction
When writing a linear equation in standard form, what other forms might you need to use?
Answer:
there are 2 other forms, point-slope form and slope-intercept form.
Step-by-step explanation:
standard is [tex]Ax + By =C[/tex]
point-slope is [tex]y-y_{1} =m(x-x_{1})[/tex]
slope-intercept is [tex]y=mx+b[/tex]
Can someone help me find the slope , y-intercept ,and equation pls help it’s my finals
Answer:
slope: -3
y-intercept: -5
equation: y = -3x - 5
Step-by-step explanation:
The formula for slope is:
(y2 - y1)/(x2 - x1)
Let's use these coordinates:
(-1, -2)
(0, -5)
x1 = -1
x2 = 0
y1 = -2
y2 = -5
Substitute into the formula:
(y2 - y1)/(x2 - x1)
(-5 + 2)/(0 + 1)
Solve:
(-5 + 2)/(0 + 1)
-3/1
= -3
slope = -3
The y-intercept is when the x coordinate is 0.
Looking at the table, we see the coordinate (0, -5).
The y-coordinate is -5.
This means that the y-intercept is -5
y-intercept = -5
Slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept
m = -3
b = -5
Substitute:
y = mx + b
y = -3x - 5
Option 1: The volunteers are split into 2 groups by a random process. One
group will read the article and the other will not. Everyone will then look at
the city pictures and the diameter of their pupil will be measured while
they look at the pictures. *
Option
Survey
Observational study
Experimental study
Answer:
Experimental study
Step-by-step explanation:
experimental studies are controlled by the researcher and often the participants are grouped randomly. An difference in the data observed of both groups would be due to intervention of the experimenter.
Please help me I dont want to fail...again this is my last hope. plz help:(
Answer:
Step-by-step explanation:
A) Cost of canvas = $ x
Cost of 4 canvases = 4 *x = 4x
Money left over after buying 4 canvases = $2.20
Equation: 25 - 4x = 2.2
Solution: Subtract 25 from both sides
-4x = 2.2 - 25
-4x = - 22.8
Divide both sides by (-4)
-4x/-4 = -22.8/-4
x = 5.7
B) Money in Molly's account= x
4 times of Molly's account = 4x
Equation: 4x - 2.2 = 25
Solution: 4x = 25 +2.2
4x = 27.2
x = 27.2/4
x = 6.8
PLEASE MATH HELP 20 points PLEASE!!!!
Based on the table, which best predicts the end behavior
of the graph of f(x)?
ООО
As x + f(x)
As x, f(x)
As x, f(x)
As x + f(x)
+ , and as x → --, f(x) .
→, and as x + --, f(x) --00
→-00, and as x→-00, f(x) →
→--, and as x →--, f(x) →-00
00
a
Answer:
Third option.
Step-by-step explanation:
In the picture attached, the question is shown. There we can see that as x gets bigger (x → ∞), f(x) gets smaller (f(x) → -∞ ). On the other hand, as x gets smaller (x → -∞), f(x) gets bigger (f(x) → ∞ ).
Answer:
2
Step-by-step explanation:
give me brainliest
Please help! I really need help.
Answer:
9&2 or 6&3, or 18&1
Step-by-step explanation:
Whole numbers have no decimals or fractions. The area is found by multiplying the base times the height.
Which is most likely the equation of the line of best fit for the set of data points
Answer: please add the data set to find the line of best fit.
Step-by-step explanation:
Mrs. Harrison made some muffins.
.
• 9 blueberry muffins
3 cranberry muffins
• 18 chocolate chip muffins
• 12 banana muffins
Which statement is correct?
A
For every cranberry muffin, there are six banana muffins.
B.
For every cranberry muffin, there are three banana muffins.
C.
For every blueberry muffin, there are two chocolate chip muffins.
Answer:
C. For every blueberry muffin, there are two chocolate chip muffins
Step-by-step explanation:
Blueberry : Chocolate
1 : 2
x9
9 : 18
Plz make me brainliest
pls helpsfsfsfsfsfsfsfsfsfsfssffsfsfsfsfsfsfsfsf
Answer:
-50/6 or -25/3
Step-by-step explanation:
to isolate x, you multiply -5/2 to each side.
10/3 * -5/2
when you simplify you get
-25/3
Answer:
X = -25/3
hope you find it useful!!
Which is a possible turning point for the continuous
function f(x)?
O (-2,0)
O (0, -2)
O (2-1)
O (4,0)
Answer:
(0, -2)
Step-by-step explanation:
A turning point is a point at which the derivative changes sign from positive to negative or vice versa. Then, a turning point coincides with a relative maximum or a relative minimum (also known as local minimum and maximum).
From the table, we see that f(x) decreases from x = -6 to x = 0 and it increases from x = 0 to x = 6. Therefore, there is a minimum at (0, -2)
Which function is the inverse of function f?
f(x)=9x^2–12
Answer: D
Step-by-step explanation:
If the equation is f(x) = 9x^2 -12, you can solve for the inverse by switching the x and y like this.
x = 9y^2-12.
Then you solve for y.
x = 9y^2-12.
x+12=9y^2
y^2=(x+12)/9
y=sqrt((x+12)/9)
y=sqrt((x+12))/3 which is D
What is the solution for the equation?
14.8=n-03
n=-15.1
n=-14.5
n= 14.5
n= 15.1
The value of n is 15.1
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
I think it is N= 15.1
What is the arc measure of minor arc AB in degrees?
Answer:
The measure of a minor arc is the measure of its central angle. The expression m AB is read as “the measure of arc AB.” The measure of the entire circle is 360°. The measure of a major arc is the difference of 360° and the measure of the related minor arc.
Step-by-step explanation:
It cost Nike $55 to make the kyrie 5 but it is selling for $130.19 calculate the markup percent increase for the shoe.
Answer:
136.71% increase
Step-by-step explanation:
To find the raw increase in dollars of the shoe: 130.19 - 55 =75.19
Now, to find what percent $75.19 is of the original production cost, $55,
(75.19/55) * 100 = 136.71
link: https://brainly.in/question/12369647
Which represents the solution set of 5(x+5) <85?
x <12
X> 12
OOOO
x <16
X> 16
Mark this and return
Save and Exit
Next
Submit
Answer:
X<12 first choice.
Step-by-step explanation:
5(x+5) <85
5x +25 < 85
5x <60
X<12
Hope this helps..
What type of tax is generally determined by the individual taxpayer?
Answer:
I believe that it is income tax.
Step-by-step explanation:
The table below shows some values that satisfy a linear function.
X Y
-5 0
-3 3
-1 6
1 9
3 12
What is the slope of the line that is represented by the values in the table above?
Answer:
1.5
Step-by-step explanation:
Given the pair of points on the table.
Now the formula for slope, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
To calculate the slope we only require two pair of points.
Let us take: [tex](x_1, y_1)=(-5,0)$ and (x_2, y_2)=(-3,3)[/tex]
[tex]m=\dfrac{3-0}{-3-(-5)}\\=\dfrac{3}{-3+5}\\=\dfrac{3}{2}\\m=1.5[/tex]
The slope of the linear function represented by the values in the table is 1.5.
Note: You can use any two set of values. The result will be the same.
PLS HURRY IM BEING TIMED! Which expression represents a number that is 5 times the difference of 6 and 12?
Answer:
x = 5(12-6) = 30
Step-by-step explanation:
The difference of 6 and 12 = 12-6 = 6
6 x 5 = 30
PLEASE HURRYYYYYYYYYYYYYY 20 POINTS!!!!!!!
Which statements describe the end behavior of the graph of the function shown?
Check all that apply.
(1)As x → ∞, y → 1.
(2)As x → ∞, y → ∞.
(3)As x → ∞, y → –∞.
(4)As x → –∞, y → 1.
(5)As x → –∞, y → ∞.
(6)As x → –∞, y → –∞.
Answer:
it is c i took one for the boys
Step-by-step explanation:
Answer:
6 2
Step-by-step explanation:
What two numbers... add to 6 and multiply to -27?
Answer:
Hello There. Here is Explanation How to get the answer.
Explanation: x + y = -6 �> x = -6-y
xy = 8
(-6-y)y = 8
-6y - y^2 = 8
y^2+6y+8 = 0
(y+2)(y+4) = 0
Hope It Helps! .ω.
Answer:
The factors of 27 is 1,27 and 3,9
9-3=6 so if 3 was negative they would add up to 6
9+-3=6
9 x -3 = -27
Hope this helps
Step-by-step explanation:
a cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.
enter the height, in feet, of the cylinder in decimal from. round your answer to the nearest tenth.
Answer:
Height of cylinder is [tex]\frac{4}{5}\ ft[/tex].
Step-by-step explanation:
Diameter of cylinder, D = 6 feet
Relation between Radius, R and diameter, D is given by:
[tex]R = \dfrac{D}{2}[/tex]
So, radius, R = [tex]\frac{6}{2} \Rightarrow 3[/tex] feet
Let height of cylinder be [tex]h[/tex] feet.
Formula for volume of cylinder is given by:
[tex]V = \pi R^{2} H[/tex]
Where, R is the radius of base of cylinder
and H is the height of cylinder
We are given that,
[tex]V = \dfrac{36 \pi}{5} ft^{3}[/tex]
Using formula for volume, [tex]V = \pi R^{2} H[/tex]
[tex]\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft[/tex]
Hence, Height of cylinder is [tex]\frac{4}{5}\ ft[/tex].
If the chance of rain is 3/4, what is the chance it will not rain?
A)0%
B)25%
C)50%
D)75%
E)100%
The two probabilities need to equal 1
The probability it will not rain = 1 - probability of rain:
1 - 3/4 = 1/4
1/4 as a percent = 25%
The answer is B) 25%
PLEASE HELPP!!! And show the work/explain please. Picture is above :)
Answer:
x = -24/7
Step-by-step explanation:
To solve, you need to multiply both sides by 10 ( the GCF of 5 and 2) to get rid of the fractions. Once multiplied, you get this:
2(4x-2) + 5(1) = 5(3x+7) - 10(1)
Now, just distribute the parenthesis:
8x - 4 + 5 = 15x + 35 - 10
Now, combine like terms:
8x + 1 = 15x + 25
15x + 25 = 8x + 1 (rearranged the equation)
Subtract the x's:
7x + 25 = 1
Now solve:
7x = -24
x = -24/7