Mathematics High School

Graph the function f(x) = – 4(x + 4)2 square + 7.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

Answers

Answer 1

Vertex at (-4,7)

Graph attached

Answer 2

Answer:

vertex = (-4, 7)

(-3, 3) and (-2, -9)

(-6, -9) and (-5, 3)

Step-by-step explanation:

Given function: [tex]f(x) = -4(x + 4)^2 + 7[/tex]

Vertex form of a quadratic function: [tex]f(x)=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)

From inspection, we can see that the given function is in vertex form.

h = -4 and k = 7

Therefore, the vertex is at (-4, 7)

As [tex]a[/tex] is negative, the parabola will open downwards.

When graphing functions, it is useful to determine the axis intercepts.

The curve will intercept the y-axis when x = 0.

Substituting x = 0 into the function:

[tex]f(0) = -4(0 + 4)^2 + 7=-57[/tex]

Therefore, the y-intercept is at (0, -57)

**cannot plot this on the given graph area as it is out of range**

The curve will intercept the x-axis when y = 0.

Setting the function to 0 and solving for x:

[tex]-4(x + 4)^2 + 7=0[/tex]

[tex]\implies -4(x + 4)^2=-7[/tex]

[tex]\implies (x + 4)^2=\dfrac74[/tex]

[tex]\implies x+4=\pm\sqrt{\dfrac74}[/tex]

[tex]\implies x=-4\pm\dfrac{\sqrt{7}}{2}[/tex]

Therefore, the x-intercepts are at (-2.7, 0) and (-5.3, 0) to 1 dp.

Finally, input values of x either sides of the x-intercepts for further plot points:

(-3, 3) and (-2, -9)

(-6, -9) and (-5, 3)

Related Questions

The table represents the multiplication of two binomials.

A geometric model with 2 columns and 2 rows. The first column is labeled 3 x with entries A, C. The second column is labeled 5 with entries B, 10. The first row is labeled negative x with entries A, B. The second row is labeled 2 with entries C, 10.
What is the value of A?

Answers

Answer:

i think the answer is b

Step-by-step explanation:

i need to show the work on this!!

Answers

Answer:

y = 37

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180°

sum the 3 angles and equate to 180

y + 29 + 40 + 2y = 180 , that is

3y + 69 = 180 ( subtract 69 from both sides )

3y = 111 ( divide both sides by 3 )

y = 37

Y=37 hope this helps

Select the mathematical sentence that is true.
A. 3 (7-3 + 5 < 6 + 2 1
B. 3 (7 - 3) + 5 s 6 + 2 1
C. 3 (7 - 3) + 5 = 6 + 2 1
D. 3 (7 - 3) + 5 > 6 + 2 1

High amount of points.

Answers

Answer: a

Step-by-step explanation:

Answer:

A. 3(7-3) < 6 + 21

Step-by-step explanation:

A. 3(7-3) < 6 + 21

21-9 < 27

12 < 27

True

B. ??

C. 3(7-3) = 6 + 21

21 - 9 = 27

12 = 27

False

D. 3(7-3) < 6 + 21

21-9 > 27

12 > 27

False

Therefore, the correct answer is A

Hope this helps!

Does anybody know the answer ASAP???

Answers

the answer to your question is , 56 CM. Enjoy.

Answer:

ø=14.48⁰ and. y=75.52⁰

Explanation:

angle thetha = 14.48⁰

sinø=opposite/hypotenuse

sinø=12/48

ø=sin¹(12/48)

ø=14.48

y=180⁰-(14.48⁰+90⁰)

y=75.52⁰

sum of angles in a triangle = 180⁰

Regarding control charts, changing from two-sigma limits to three-sigma limits: A. decreases the probability that the process average will change. B. increases the probability of concluding nothing has changed, when in fact it has. C. decreases the probability that defects will be generated by the process. D. does not change the probability of making type I or type II errors. E. increases the probability of searching for a cause when none exists.

Answers

Changing from Two-sigma limits to three-sigma limits helps to reduce the probability that defects will be generated by the process. Hence the correct answer is C.

What is a Two-Sigma Limit?

This is used to refer to the inclusion of about ninety-five percent of data plotted on the normal distribution curve.

Three sigma-limit on the other hand is a statistical calculation where data fall within three standard deviations from a mean.

If in a manufacturing firm, the quality control unit issues out a polity to reject products that are within two standard deviations to their accepted mean, then more errors will be captured thus resulting in a lot of loss or defective products.

Learn more about Two-Sigma Limits at:

https://brainly.com/question/15581863

At the grocery store there are two different options for buying Coke. You can buy a 12 pack for $5.49 or an 18 pack for $8.59. Which is the best buy? Justify your answer

Answers

Step-by-step explanation:

The 18 Pack why is because it has more Coke than the other one and it is less expensive than the other one if it had 18.

((12 ÷ 3)2 − (18 ÷ 32)) × (4 ÷ 2)

Answers

Answer:

6 7/8

Step-by-step explanation:

Answer:

Hi I'm always here to help!!

______________________

(42 − (18 ÷ 9)) × (4 ÷ 2)

(16 – 2) × 2

14 × 2

______________________

Have a great day!!!

Nathan buys a large bucket of popcorn at the movie theater.The bucket holds 20 1/4
cups. If he shares the popcorn equally among 3 people. How much popcorn will each person get?

Answers

Answer:

Each person will get 6 and 3/4 cups of popcorn

Step-by-step explanation:

20.25 divided by 3 equals 6.75 which is 6 3/4

Please help me with this.

Answers

Answer: A

Step-by-step explanation:

Grayson and Ty went on a fieldtrip to the Rocky Mountains. After a strenuous climb up and down a very large mountain they wondered how high they had climbed. In order to find out they stood and point A and sighted an angle of elevation 60 degrees from the ground to the top of the mountain, then walked up 400 ft to point B and sighted an angle of elevation of 50 degrees. What is the height of the mountain Grayson and Ty climbed?

Answers

The answer is 4 cause u need to divide it

If the measure of <5 = 134 degrees, what is the measure of <8?

Answers

Answer: 134

Step-by-step explanation:

28% of 63 is what? i'm so confused right now

Answers

28% x 63

28 over 100 x 63 over 1

17.64

Answer:

[tex]\displaystyle 17\frac{16}{25}[/tex]

Step-by-step explanation:

[tex]\displaystyle 28\%\:of\:63 \\ \\ \frac{7}{25} \times 63 = \frac{441}{25} \\ \\ \boxed{\boxed{17\frac{16}{25}}}[/tex]

To turn 63% into a fraction, write it as a fraction over 100, then simplify it:

[tex]\displaystyle \boxed{\frac{7}{25}} = \frac{28}{100}[/tex]

I am joyous to assist you at any time.

help please I'm begging you it's urgent

Answers

Answer:

L= V/W

Step-by-step explanation:

i hope it Helps, Thank you so much, good luck for you

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

Given:-

V = lwh

where

V = volume l = lengthw = widthh = height

In equation -

[tex]\begin{gathered}\\\implies\quad \sf V = lwh\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf lwh = V \\\end{gathered} [/tex]

Since w and h are multiplying l , when they will be transposed to other side of equation, they will divide V and thus be in denominator.

[tex]\begin{gathered}\\\implies\quad \sf l = \frac{V}{wh} \\\end{gathered} [/tex]

Thus , V will be in numerator, which is our required answer.

I need help on this question and I need to show the work!

Answers

Answer:

b.8

Step-by-step explanation:

6x+2+40+90=180

6x+132=180

6x=180-132

6x=48

x=48/6

x=8

HELPS ME ANYONE IM STUGGLIN

Answers

Answer:

155.7 & 153

Step-by-step explanation:

the only 2 heights under 161

Answer:

161.7 and 163

Step-by-step explanation:

I do not have one sorry,

EMERGENCY!!!!!

What is the slope and Y intercept of (-2,0) (4,1)??!?!!??

Answers

Answer:

Slope= 1/6 Y-intercept= 1/3

Step-by-step explanation:

1-0=1

4-(-2)=6

Slope = 1/6

y-0= 1/6 (x-(-2))

y-0= 1/6x + 1/3

Y intercept is 1/3

y-intercept = [tex]\boxed{\sf \dfrac{1}{3}}[/tex]

slope = [tex]\boxed{\dfrac{1}{6}}[/tex]

given coordinates: (-2,0) (4,1)

[tex]\sf slope \ formula:\dfrac{y2-y1}{x2-x1}[/tex]

→ [tex]\dfrac{1-0}{4--2}[/tex]

→ [tex]\dfrac{1}{6}[/tex]

equation:

→ [tex]\sf y - 0 = \dfrac{1}{6} ( x- -2)[/tex]

→ [tex]\sf y = \dfrac{1}{6} x + \dfrac{1}{3}[/tex]

To find y-intercept, put x as 0.

→ [tex]\sf y = \dfrac{1}{6} x +\dfrac{1}{3}[/tex]

→ [tex]\sf y = \dfrac{1}{6} (0) +\dfrac{1}{3}[/tex]

→ [tex]\sf y = \dfrac{1}{3}[/tex]

Positive, negative, or no relationship
running speed versus time to complete a marathon

Answers

The relationship between the running speed versus time can be positive, negative or none at all.

How to determine the relationship

The question is incomplete, as the graph or table that measures the running speed versus time to complete a marathon is not given.

As a general rule, we have the following parameters:

If the running speed increases with time, then the relationship is positiveIf the running speed increases as time decreases, then the relationship is negativeIf the running speed do not have a pattern of change with time, then there is no relationship

Answers

(2555 ; 5) 511
————— = —— (simplest form)
(1000 ; 5) 200

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2555/1000 is also equal to 2 111/200 when expressed as a mixed number.
Answer - { 511/200 } or { 2555/1000 }
mixed number { 2 111/200 }

can someone pls help

Answers

Answer:

x=5

Step-by-step explanation:

An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer/Explanation:

The answer is B!

A mixed number from an improper fraction is when you take that improper fraction and fix it into whole numbers. It's kind of like a decimal but with fractions.

Examples:

6/4 = 1 and 2/4 or 1 and 1/2

9/2= 4 and 1/2

17/6= 2 and 5/6

Make sense?

improper fraction into a mixed number
1. divide the numerator by the denominator

2. the quotient becomes the whole number

3. the remainder becomes the numerator

4. the denominator remains the same.

12 : 5 = 2 remainder 2

[tex]\tt \dfrac{12}{5}=2\dfrac{2}{5}[/tex]

Question 9 of 15
What is the reverse of "multiply by 4"?
O A. divide by
B. divide by 4
O C. subtract 4
O D. add 4

Answers

The answer is… B. Divide by 4

The opposite of multiplication is division
The opposite of addition is subtraction

Hope this helps!!

HELPPP!!! BRIANLEST???

Answers

Answer:

5/18

Step-by-step explanation:

Irresponsible and 0 siblings (5) over total (18)

5/18 doesn't simplify

Factor using the GCF. 10x^2+15x-5

Answers

Answer:

Step-by-step explanation:

srry if im wrong

What is the equation of a horizontal line that passes through the point (3,-5)?

Answers

your answer for this question is y=c hope this helps

Help me rn please ty

Answers

9 feet, AC, which is the first and last of the first triangle, and TV, the first and last of the second triangle are similar. They are both 9 feet

10 litres of oil is poured into a container whose cross section is a rectangle with dimensions 40 cm ×25cm .find the height of the container

Answers

Answer:

[tex]Volume = \: length \times width \times hight[/tex]

[tex]10 \times 1000 = \: 40cm \times 25cm \times hight[/tex]

[tex]Hight = \frac{10000}{40cm \times 25cm} [/tex]

[tex]Hight = 10cm[/tex]

The height of the container is 10 cm.

Given that, 10 liters of oil is poured into a container whose cross section is a rectangle with dimensions 40 cm ×25cm.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, 1 liter = 1000 cm³

So, 10 liters = 10000 cm³

Area of the base = 40 × 25 = 1000 cm²

Volume = 1000 × Height

⇒ 1000 × Height=10000

⇒ Height=10 cm

Therefore, the height of the container is 10 cm.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ2

if f(x)=-2x+7, what is f(1/2x+3) equal to?

Answers

So just sub 1/2x+3 for all x’s in the equation and it is equal to -1x+10

You have 5 1/3 foot pipe and you want to cut it into pieces. How many 2/3 pieces could you make?

Answers

Answer:

5.1 pieces

Step-by-step explanation:

You have to divide the measure of foot pipe by the measure of how many pieces to make. So,

1) 5 1/3 / 2/3

2) Simplify the mixed number, 5 1/3, into an improper fraction

3) 17/5 / 2/3

4) 5.1

pls help asap I’ll mark BRAINLIEST DONT answer if your not sure, this affects my whole grade

Answers

Answer:

2.5

Step-by-step explanation:

Add up the 5s of the left side first and you will get 25. Then you add up the 5s on the otherside and you will get 10. Subtract the 10 from the 25 to get 15. Finally, divide 15 by 6 to get the weight of each triangle, 2.5

1: 5 x 5 = 25

2: 5 x 2 = 10

3: 25 - 10 = 15

4: 15/6 = 2.5

The weight of each triangle is 2.5

Have an amazing day!

PLEASE RATE!!

Answer: 2.5

Step-by-step explanation:

What we know:

Both sides need to be equal, and one side already has a constant defined value.

That value is 25 (units)

How to solve:

By using a simple algebraic equation, we can find the value of a triangle's weight. X will represent a square's weight, and y will represent a triangle's weight.

Process:

Set up equation 5x = 2x + 6y

Substitute 5(5) = 2(5) + 6y

Simplify 25 = 10 + 6y

Cancel out -10 -10

15 = 6y

Separate variable /6 /6

Solve 2.5 = y

Solution: y (triangle weight) = 2.5

You can check this by adding 2.5 6 times (15) to 5 2 times (10). This will equal 25, which would balance out the other side

davis babysat for 15hours and charged $5 per hour. he will donate %15 percent of what he earned for charity what dollar amout wil david to donate

Answers

Answer:

11.25

Step-by-step explanation:

I hope you have a good day

Other Questions

The suns rays are least directa.near the poles.b.near the equator.c.at high altitudes.d.far from the ocean.Please select the best answer from the choices providedABCD Consider the inequality 2y > 18.8.Which of the following values make this inequality true? Select all that apply. 8.2 9.4 11 12.5 10.6 What is trade balance i dont know how to find the answer How should I go about fixing this error in Java?System.out.printIn("E"); ^ symbol: method printIn(String) location: variable out of type PrintStream1 error Which group includes ALL renewable resources? a) coal,trees,water,oil b)water, wind,sun,plantsc)minerals,sun,natural gas, water Help Me!!!!!!!Select the correct answer. Which relationship does the graph represent? A. perimeter of a square 4 = length of its sidesB. perimeter of a square + 4 = length of its sidesC. perimeter of a square = 4 + 4 length of its sidesD. perimeter of a square = 4 length of its sidesE. perimeter of a square 4 = 4 + length of its sides Which two factors contributed to the event known as Black Tuesday? A right cubic prism has edges of 212 inches. How many cubes with side lengths of 12 inches would be needed to fill the prism? In the event of a skyjacking you should immediately attempt to. Why did England NOT give the United States New Orleans and Florida when they gave all land east of the Mississippi River in the peace treaty? (Please someone help me!) (No links!) what is the volume of 10 2 in 5.5in According to central place theory, the threshold is defined as the:. What does a virtual machine emulate? HardwareNetworks User interfaces Web sites 27 is what percent of 81? Being legally responsible for the medical bills as a result of your dog biting a neighbor is known as yourA. liabilityB. deductibleC. coverageD. exclusion Answer A Do what it says on the picture 5. The relationship between the central character and Elroy can be compared to that of aRequired to answer. Single choice. (A) son and father(B) soldier and superior officer(C) expert and apprentice(D) man and best friend The atoms of a certain element each contain 35 protons and 7 valence electrons. Which statement correctly identifies this element and describes its chemical reactivity?

Graph the function f(x) = – 4(x + 4)2 square + 7. Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Graph the function f(x) = – 4(x + 4)2 square + 7.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.