Identify the y-intercept and the axis of symmetry for the graph of f(x) = 10x^2 + 40x + 42.
a
42; x = 4
b
42; x = –2
c
–42; x = 2
d
0; x = –4

Answers

Answer 1

Answer:

b)42, x=-2

Step-by-step explanation:

Answer 2

Answer:

The option 'b' is correct.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)\:=\:10x^2\:+\:40x\:+\:42[/tex]

Determining the y-intercept

The y-intercept can be obtained by setting the value x = 0

[tex]y\:=\:10x^2\:+\:40x\:+\:42[/tex]

[tex]y\:=\:10\left(0\right)^2\:+\:40\left(0\right)\:+\:42[/tex]

    [tex]= 0+0+42[/tex]

    [tex]=42[/tex]

Therefore, the y-intercept is:

(0, 42)

Determining the axis of symmetry

Given the equation

[tex]y=\:10x^2\:+\:40x\:+\:42[/tex]

For a parabola in standard form [tex]y=ax^2\:+\:bx\:+c[/tex]

the axis of symmetry is the vertical line that goes through the vertex

[tex]x=\frac{-b}{2a}[/tex]

so

The  axis of symmetry for [tex]y=ax^2\:+\:bx\:+c[/tex]  is [tex]x=\frac{-b}{2a}[/tex]

[tex]a=10,\:b=40[/tex]

[tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-40}{2\cdot \:10}[/tex]

[tex]x=-2[/tex]

Therefore, the option 'b' is correct.


Related Questions

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Answer:

20 months

Step-by-step explanation:

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Monthly difference = 25$

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Answers

Answer:-21

Step-by-step explanation:

Answer: ok...

Step-by-step explanation:

9x - 60 = 18 + бх
What value of x makes this equation true?

Answers

Answer: x=26

Step-by-step explanation: first you would subtract 6 from both sides.

Next, you would add 60.

Lastly, you would divide both sides by 3.

So your answer is 26.

Answer:

x=26

Step-by-step explanation:

step 1: simplify both sides of the equation

step 2:subtract 6x from both sides

step3:add 60 to both sides

step4:divide both sides by 3

please help me with the last question, i tried 48 lol

Answers

Answer:

108:72

Step-by-step explanation:

Answer:

The missing value in the ratio that will appear next is: 108 and the ratio is 108:72

Step-by-step explanation:

The pattern of equivalent ratios is given in the picture.

The ratios are equivalent which means that the simplest form of ratio will be same for all ratios in the pattern.

So,

[tex]\frac{18}{12} = \frac{36}{24} = \frac{54}{36} = \frac{72}{48} = \frac{90}{60} = \frac{3}{2}[/tex]

This means that the simplest form of ratio for upcoming in the pattern will be 3/2

Let x be the missing value in ratio

Then

[tex]\frac{x}{72} = \frac{3}{2} \\x = \frac{3}{2} * 72\\x = 108[/tex]

Hence,

The missing value in the ratio that will appear next is: 108 and the ratio is 108:72

Can someone please help me with all the questions?

Answers

Answer:

Here you go. It was much simpler than it looked.

Explanation:

[tex]Start\\ a^{2}+b^{2}=c^{2}\\ 9^{2}+12^{2}=c^{2}\\ 81+144=c^{2} \\ 225 = c^{2} \\ \sqrt{225} = \sqrt{c}^{2}\\ 15 = c\\ c = 15[/tex]

Consider Brainliest! Hope I helped!

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Answers

Answer: y = 2x - 4

Divide each side of the equation by 2 in order to isolate y.

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Answers

Answer: 1

1 is the GCF of 16 and 17. Hope this helps.

-BrainlyRacer

1 is the common factor since nothing else goes into both

Find the missing length in the image below. Will give brainliest!!!

Answers

Answer:

I think the answer is 169

The value of y is directly proportional to the value of x. Given y = 12 when x = 36.


What is the value of y when x = 60?



13

3

20

180

Answers

I’m pretty sure it’s 20 could be wrong

What is the length of BC?
A) 9 units
B) 11 units
C )15 units
D) 16 units

Answers

Answer:it’s a or c

Step-by-step explanation:

Hope this helped have a good day stay safe

Answer:

C. 15 units

Step-by-step explanation:

I'm sorry if this is a late answer but I hope other people can find this helpful :)

Can someone please explain this to me?

Answers

Since there is a -3 at the end, the y intercept is at (0,-3). The slope is -1/2 meaning you go up one and left two for your next point from the y intercept or down 1 right 2.

Which of the tables is a function?
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Answers

Answer:

I say C is your best answer because it might be a typo

An apprentice baker made 40 liters of 60% sugar syrup instead of 40 liters of 45% sugar syrup. How much syrup should she drain and replace with distilled water so that the resulting solution is 40 liters of 45% syrup? Will award brainliest!

Answers

Answer:

10 liters

Step-by-step explanation:

let sugar in  x liters of 60 % sugar syrup be equivalent to sugar in 40 liters of 45 % sugar syrup.

x×60 %=40×45%

60x=40×45=1800

x=1800/60=30

40-30=10

so 10 liters of 60 % sugar syrup be replaced with 10 liters of distilled water to make 40 liters of 45 % sugar syrup.

Answer:  The baker needs to pour off 10 liters of the solution and replace it with 10 liters of distilled water.

.6(40) = 24.  .45(40) = 18  24-18 = 6   6 = .6(10)  10 liters must be substituted.

Step-by-step explanation:

The original 60% solution contains 24 L syrup and 16 L water.

A 45% solution must contain 18 L syrup and 22 L water.

The difference in syrup is 6 L.  10 L of the 60% solution contains 6 L syrup.

After pouring off  10 L, the remaining  30 L will contain 18 L syrup and 12 L water.  

By adding 10 L water, the resulting solution is 18 L syrup and 22 L water.

18/40 = .45 which is the desired 45% syrup.

.

What does 5/6 ÷ 8.5 equal, in fractions and division form

Answers

Answer:

5/51 or 0.098

Step-by-step explanation:

Step-by-step explanation:

5/6 ÷ 8.5

8.5 = 8 1/2 = 17/2

5/6 ÷ 17/2

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Answers

Answer:

33 degrees.

Step-by-step explanation: Half of a circle is 180 degrees. If we view the half of circle with angle C on it we can see the other part of the half of circle is 147 degrees. Since we know half a circle is 180 degrees, we subtract our known variable from 180 to get our unknown angle C, 33 degrees.

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Answers

Answer:

o noooo why

Step-by-step explanation:

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Answers

Answer:

How much buttons is on it.

Step-by-step explanation:

If three you can make 17 puppets.

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Answers

Answer: -1/2, 3/2, -1/3

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Answers

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A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?

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Answers

Answer:

1/5 mile per hour

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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On a coordinate plane, a figure is 27 units around.
18 units
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Answers

The approximate perimeter of the figure is 27 units

The perimeter of the quadrilateral

From the given diagram, the perimeter is the sum of all the sides in units

Since one square box is equivalent to 1 unit, hence the perimeter is expressed as:

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x is the slant sides

The perimeter of the figure = 27 units (x is approx 10 units)

Hence the approximate perimeter of the figure is 27 units

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C,3 or 27 units

Step-by-step explanation:

The approximate perimeter of the figure is 27 units

Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12

Answers

Answer:

x-intercept= 6

y-intercept= 4

Step-by-step explanation:

Solve for x first then solve for y.

If you can make my answer brainliest that would be much appreciated. Thanks!

The x- and y-intercepts of the linear equation

2x + 3y = 12 are (6, 0) and (0, 4).

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, A linear equation 2x + 3y = 12.

To obtain the x-intercept we'll make y = 0 in the equation which is,

2x + 3(0) = 12.

2x = 12.

x = 6.

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To obtain the y-intercept we'll make x = 0 in the equation which is.

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3y = 12.

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Answers

Answer:

2

Step-by-step explanation:

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Yefyhuhdfugvgvjdjdjfifjfjgjgigigo

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Answers

Answer:

The point of intersection is (2, -1).

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

URGENT!!! WILL MARK BRAINLIEST!
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Answers

Answer:

m<DBE =50°

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Step-by-step explanation:

Because of Straight Angles, All the angles will add up to 180 degrees

Let x be m<DBE

40+x+70+20=180

x+130=180

x=50

m<DBE will be 50 degrees

To find the m<ABD, we add m<FBA, m<FBE, m<DBE.

70+50+30=150

m<ABD = 150

Answer:

angle DBE=

Step-by-step explanation:

We know that angle ABE is a right angle because 70+20=90. Therefore angle CBE is also a right angle.

Now, 90-40=50 (angle DBE's measure)

Based on this, we can know that 20+70+50=140. Angle ABD is 140 degrees.

HTH :)

I have to reduce the fraction 49/35 using factor trees

Answers

Answer:

The fraction 49/35 reduced is: 1  14/35

Step-by-step explanation:

help me plsssss yes plssss❤️❤️

Answers

Answer:

17 feet

Step-by-step explanation:

2-(-15)

=17 feet

PLS GIVE BRAINLIEST

Answer:

17 feet

Step-by-step explanation:

15 + 2 = 17

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