Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.

Answers

Answer 1

Answer:

              [tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]

Vertex:  (1, -9)


Related Questions

How many solutions to y=2x-3 y=-x+3

Answers

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1

Yesenia swims laps at a pool. For every 10 laps she swims the backstroke, she swims 15 laps of freestyle. Which ratio shows the number of laps Yesenia swims the backstroke to the number of laps she swims freestyle?

Answers

Answer:

2:3

Step-by-step explanation:

Answer:

2-3

Step-by-step explanation:

Help, I’m stuck. Lol.

Answers

Answer:

a. height = 12

b. area = 228

Step-by-step explanation:

a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into [tex]c^2-b^2=a^2[/tex]. [tex]15^2=225, 9^2=81,[/tex] and [tex]225-81=\sqrt{144}[/tex]=12. Therefore, the height of the parallelogram is [tex]\boxed{12}[/tex]

b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and [tex]19\cdot12=\boxed{228}[/tex]

Need help on this please Help. I would really appreciate it :)

Answers

Answer:

i am not sure but according to me ans is d

Step-by-step explanation:

Ax+By=C

Ax=C-By

A=C-By/x

Find S, for the series below.
-3,-1, 1, 3, 5, ...
S6 =

Answers

s6 = 7

Step-by-step explanation:

you have to see what kind of pattern is going on in this case it's +2 -3 to -1 is +2, -1 to 1 is +2 and so on so apply that rule to 5 and you'll get the answer 5 + 2 is 7 and that's why it's 6th term in S!!

I hope this helped

what's the value for x makes this equation true 3/5 X-0.5=19 ​

Answers

Answer:

what's the value for x makes this equation true 3/5 X-0.5=19 ​  HERE YOU GO!!

Step-by-step explanation:

-5x - (-7 - 4x) = -2(3x - 4)

 

-5x + 7+ 4x = -6x + 8

 

-x + 7= -6x + 8

 

5x = 8 - 7

 

5x = 1

 

x = 1/5

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x that makes the equation 3/5x - 0.5 = 19 true is 32.5.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

3x = 6 + 5 is an equation.

We have,

3/5x - 0.5 = 19

Add 0.5 on both sides.

3/5x = 19 + 0.5

3/5x = 19.5

Multiply 5/3 on both sides.

x = 19.5 x 5/3

x = 32.5

Thus,

The value of x that makes the equation 3/5x - 0.5 = 19 true is 32.5.

Learn more about equations here:

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The sum of two consecutive even integers is 70. Find the integers

Answers

Answer:

It is 34 and 36.

Step-by-step explanation:

Breannas cat weighs 3200 grams. Her neighbors cat weighs 4.68 kilograms. What is the difference, in grams, of the weights of two cats

Answers

Answer:

1480 grams.

Step-by-step explanation:

3200 grams = 3200/1000

= 3.2 kgs.

Difference in weight = 4.68 - 3.20

= 1.48 kgs

= 1480 grams.

Answer:

3,200g  - 4.68kg = 1480

Step-by-step explanation:

4.68k g = 4,680 g

1 kg = 1,000 g

4,680 - 3,200 = 1480

for a walkathon a sponsor committed to give you a flat fee $5 plus $2 for every mile m you walk.
A.write an expression for the total amount you will collect from your sponsor at the end of the walkathon

B. then evaluate your expression for 20 miles walked

Answers

5a x 2m= I hope that’s close to what you’re needing.

Can someone help me please ?

Answers

Answer:

C I am pretty sure.

Step-by-step explanation:

For C, we can alter the equation to be 5 - 9 > 2x or -2 > x which satisfies the graph above. Similarly, we can alter the second equation to be 3x ≥ -3 or x ≥ -1 which again is true from the graph above.

which proof has a flaw? ( i need help in my geometry class, and will give brainliest answer if is correct!!) please help :)​

Answers

Answer:

The second reason is incorrect.

It should be "Transitive Property of Congruence"

Answer:

Reason 2 ( got it correct on my test)

Step-by-step explanation:

The reason must justify its corresponding statement.

pls help me with this

Answers

Answer:

I would say 3

Step-by-step explanation:

Most reasonable

Evaluate the expression when a= 1/4 and b=6

Answers

Answer:

b=24

Step-by-step explanation:

In this fraction, which number is the denominator?
8
16
O A. 16
OB. 8

Answers

The answer is A Bc the bottom is the denominator

Simplify 12 + 3(2x - 3) + 4

Answers

Answer:

Subtract

9

from

12

.

6

x

+

3

+

4

Add

3

and

4

.

6

x

+

7

Step-by-step explanation:

if x does not equal 16 then 2x+10 does not equal 42​

Answers

Answer:

The answer is

True

A number m plus 4 is greater than or equal to 7.

Answers

Answer:

m is greater than or equal to 3

Step-by-step explanation:

[tex]m \geqslant 3[/tex]

Answer:

[tex]m + 4 \geqslant 7 \\ m \geqslant 7 - 4 \\ m \geqslant 3[/tex]

Which statement best explains the value of 16 − (−3)?

The additive inverse of −3 is −3, so 16 − (−3) = 19.
The additive inverse of −3 is −3, so 16 − (−3) = 13.
The additive inverse of −3 is +3, so 16 − (−3) = 19.
The additive inverse of −3 is +3, so 16 − (−3) = 13.

Answers

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

simplify: log64+2log5-2log40​

Answers

Answer: 0

Step-by-step explanation:

Use rules of logarithms to condense.

Write the question the symbols represent, then solve it.
f(-2)=-3+2x^2

Answers

Answer:

f(-2) = 5

Step-by-step explanation:

Step 1: Define

f(x) = -3 + 2x²

f(-2) is x = -2

Step 2: Substitute and Evaluate

f(-2) = -3 + 2(-2)²

f(-2) = -3 + 2(4)

f(-2) = -3 + 8

f(-2) = 5

You want to fit all of your lip glosses in _3
makeup bags. You already have 3 makeup bags.
They are different sizes. The sizes are S,L,L.
Small-(8.5" H x 8.75 in "W). Large-6.75 in Hx
9.25 in W x 3.25 in D. You have 35 lip glosses.
They are all _6_inches.How many more makeup
bags do you need to buy?/ if any.

Answers

Answer:

uwiouwj22nnjj n2k2k2km n2n2j2j2j2jn2n2 2 2 2 2n2j2j2n2n2 2 2 3 3n2j2j2n3n n3j3n3n3n3 3

2) Domain
Range
Function?

Answers

Answer:

domain range edge trangle

Domain is all real numbers

It is a function

Continuous

Range im not sure

Function Homework f(x) g(x)

Answers

Answer:

5x-1

Step-by-step explanation:

a) Sheetal has eight Rs 5. coins. After purchasing 1 kg of tomatoes, only one coin left with her. What is the price
of 1 kg of tomatoes? b)The shopkeeper has 46 kg 750 g of tomatoes in his stock. He sells 28 kg 850 g of
tomatoes. What is the weight of tomatoes that are left?​

Answers

Step-by-step explanation:

please check the attached picture..and rotate it

In parallelogram JKLM, what is the relationship between angle j and angle k?

j° + k° = 180°
j° = k°
j° = -k°
j° - k° = 180°
1 of 4

Answers

Answer:

since j&k are interior angles if I added they should come up to 180° so j + k is equals to 180° yeah that's the answer

Figure 3
62°
144 what is the angle measure in degrees for thr missing variable x in figure

Answers

It would be 90 degrees because of the angle

The value of the angle x is equal to 98°.

Given that the figure attached below.

To find the angle x, follows sum steps as:

Draw one parallel line between the given parallel lines with intersect the point x.

By linear sum,

Angle 1 on below parallel line is 180° - 144° = 36°.

Angle 2 is equal to angle 1, that is, angle 2 is equal to 36°.

Angle 3 on centre parallel line is equal to 62°.

So, the angle x is calculated as:

x = Angel 2 + Angle 3

x = 36° + 62°

x = 98°

Hence, the required angle is equal to 98°.

Learn more about Angle here:

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what is 96 divided by 4

Answers

Answer:

24

Step-by-step explanation:

Solve the equation shown:

-5(x - 3) +7x = 35

x =

Answers

Answer:

10

Step-by-step explanation:

[tex]-5(x-3)+7x=35[/tex]

Distribute the 5

[tex]-5x+15+7x=35[/tex]

Combine like terms

[tex]2x+15=35[/tex]

Subtract 15 to isolate the variable

[tex]2x=20[/tex]

Divide by 2

[tex]x=10[/tex]

Answer:

x = 10

Step-by-step explanation:

Simplify by applying the distributed property: -5x - -15 + 7x = 35Simplify: -5x + 15 + 7x = 35Combine like terms: 2x + 15 = 35Subtract 15 from each side, so it now looks like this: 2x = 20Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 10

I hope this helps!

Round 3.55 to the nearest whole number

Answers

Answer:

i think the answer is 4

The midpoint of PQ is M(, –1). One endpoint is Q(3, –5). Which equations can be solved to determine the coordinates of P? Check all that apply.

Answers

Answer:

c and d. just did the lesson and its those two.

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

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