h(a) = a² + 1
g(a) = 2a + 4
Find h(g(8))

Answer:

The vertex of [tex]y = 4\, (x - 3)^{2} - 8[/tex] is at [tex](3,\, -8)[/tex].

Step-by-step explanation:

Consider a quadratic function with the point [tex](h,\, k)[/tex] as the vertex (for some constants [tex]h[/tex] and [tex]k[/tex].) It would then be possible to express this function in the vertex form [tex]y = a\, (x - h)^{2} + k[/tex] for some constant [tex]a[/tex] where [tex]a \ne 0[/tex]. (Note the minus sign in front of [tex]h[/tex].)

For example, the quadratic function [tex]y = 4\, (x - 3)^{2} - 8[/tex] in this question is expressed in this vertex form:

[tex]y = 4\, (x - 3)^{2} + (-8)[/tex].

The values of [tex]h[/tex] and [tex]k[/tex] are [tex]h = 3[/tex] and [tex]k = (-8)[/tex], respectively. Thus, the vertex of this parabola would be at the point [tex](3,\, -8)[/tex].

Answer:

[tex]\displaystyle [3, -8][/tex]

Explanation:

First off, this equation came from the quadratic equation [tex]\displaystyle [y = Ax^2 + Bx + C],[/tex]in which it was [tex]\displaystyle y = 4x^2 - 24x + 28.[/tex]In the vertex equation [tex]\displaystyle [y = A(x - h)^2 + k],[/tex]the vertex is represented by [tex]\displaystyle [h, k],[/tex]in which −h gives you OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be careful there.

I am joyous to assist you at any time.

Answer:

the answer is B. this is because since they are on the same horizontal line, the distance is the value of the 3 plus the value of 6. so 6+3=9.

If you think about it in positives like 5 and 2, you'd subtract to get that the distance is 3. It's the same for -6 and 3.

Let's find

y=4

Distance of x axis we need

Answer:

12:50

Step-by-step explanation:

in time after 60 minutes it goes to the next hour

so since is 20 minutes faster we are going to take it back 20 minutes backward

--› 1:10{when going backwards after 1:00 is 12:59}

--› 1:10 - 20

--› 12:50

The correct time on the clock is given by the equation A = 12 : 50 PM

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the correct time on the clock be represented as A

Now , the equation will be

The present time on the clock P = 1 : 10 PM

And , the time on the clock is 20 minutes faster than the actual time

So , substituting the values in the equation , we get

The correct time on the clock is given by A = present time on the clock P - 20 minutes

On simplifying the equation , we get

The correct time on the clock is given by A = 12 : 50 PM

Therefore , the value of A is 12 : 50 PM

Hence , the equation is solved

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Answer:

A

Step-by-step explanation:

AB ll CD

what grade r u in btw ?

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Answer:

The clerk is wrong because the total cost per map is $24.59

Step-by-step explanation:

since you know that you spent $73.77 for 3 maps you can set up the equation 73.77 = 3X (where x = cost per map)

once you divide 73.77 by 3 you get 24.59 and that equals the price per map

if it was like the clerk said and each map was 2.45 then the total cost shoud have been 7.35.

Answer:

Step-by-step explanation:

Let the rate of boat in still water be b and the speed of the current be c

We got equations for time:

Add up the equations:

Then finding the values of c

Answer:

there are no sequences pls edit or repost so i can help : )

when you write its thi t would be an acute triangle. Basically, the one you think of when you think triangle.

but when its multi step its c

Step-by-step explanation:

Sum exterior measure = ( n-2)*180

( n-2 ) *180

(3-2)*180

180

x+4x-2+5x = 180

10x-2 = 180

10x = 180+2

10x = 182

x = 18.2

A = x

A = 18.2°

B=5x

B = 5(18.2)

B = 91°

C = 4x-2

C = 4(18.2)-2

C = 72.8-2

C = 70.8°

Hey there!

In  order to determine whether an ordered pair is a solution, all we have to do is plug in the values of x and y and see if we end up with a true statement.

The first pair is (-6, 1)

plug in 1 for y and -6 for x:

2(-6)+7(1)=-5

-12+7=-5

-5=-5

Yep! Here we have a true statement.

Therefore, this ordered pair is a solution.

2(9)+7(2)=-5

18+14=-5

Well, we can see that we have a false statement, because

32≠-5

and ≠ means "not equal to"

Let's try the third ordered pair.

2(8)+7(-3)=-5

16-21=-5

-5=-5

Great! We have another true statement :)

Let's try the last option.

2(-5)+7(-4)=-5

-10-28=-5

-38=-5

As we can see, we ended up with a false statement.

-38≠-5

Hence,

[tex]\boxed{\boxed{\bold{options~A~and~C~are~correct.}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

10

Step-by-step explanation:

60% of 10 is 6, so if 6 is 60% then 100% of them would be 10

Answer:

C

Step-by-step explanation:

x is an input value and an element of the domain. f(x), the range, is 5.25.

Answer:

Step-by-step explanation:

[tex]\bf \left( \dfrac{-11}{2} * +3 \right) -2*\left(\dfrac{11}{4}x-\dfrac{5}{2} \right) =\left( \dfrac{-33}{2} \right) - 2*\dfrac{11}{4}x - (-2) * \dfrac{5}{2}\\\\\\[/tex]

                                                   [tex]\bf = \dfrac{-33}{2}-\dfrac{11}{2}x + \dfrac{10}{2}\\\\\\ = \dfrac{-33-11x+10}{2}\\\\\\ = \dfrac{-23-11x}{2}[/tex]

Answer:

Ok 2/3 / 1/8 = 2/3 *8 = 16/3. 16/3 is 5.33 which is 5 and a third of a container which is counted in this so 6 is the answer

Step-by-step explanation:

Answer:

42y^2 - 43y + 1/7y^3

Step-by-step explanation:

Answer:

3 equals 49 cents 5 equals 81 cents

Answer:

(0,25)

Step-by-step explanation:

Answer:

I believe the y intercept is (0,25)

28/4 or 7

Well, I looked it up. Ain't gonna lie

Answer:

£5.95

Step-by-step explanation:

To find the cost of 12 DVDs, let x = 12

C(12) = 0.35 x 12 + 1.75

C(12) = 4.2 + 1.75

C(12) = 5.95

The cost of manufacturing 12 DVDs is $5.95.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, the cost of manufacturing a single DVD is represented by C(x) = 0.35x+ 1.75.

When, x=12

C(12)=0.35×12+1.75

C(12)=5.95

Therefore, the cost of manufacturing 12 DVDs is $5.95.

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The answer will be 160.99 or 161????

Answer: 1) 2.375

               2) 2.833333333333333

                3) 2.095238095238095

               4)  3.823529411764706

Step-by-step explanation:

1)7/4+5/8=2.375

2)3/2+4/3= 2.833333333333333

3)2/3+10/7= 2.095238095238095

4)4-3/17= 3.823529411764706

Answer:

Acute

Explanation:

Due to the fact that all the angles of an equilateral triangle have a measure of 60 degrees, the triangle must be acute as the measure of all acute angles are less than 180 degrees.

Answer:

Option B

Step-by-step explanation:

All equilateral triangles are "acute triangles" or option B. Acute triangles have degrees that are less than the degree of a right triangle which is 90 degrees. In this case all equilateral triangles have the sum of 60 degrees, which is less than the degree of a right triangle which means it is indeed a acute angle. It's not option D because obtuse triangles are triangles with angles that are more than 90 degrees, it's also not option C because each side of a scalene triangle is of different length in terms of degrees.

Hope this helps.

Answer:

D

Step-by-step explanation:

That is the closest number from the sum of 35+6 35+7 35+9

Answer/Step-by-step explanation:

This is what we know...

f(x) = 3x + 2 and h(x) = 3x and that h(2) or x=2

Given that info we can input our values into the variables.

f(2) = 3(2) + 2

Now according to the Order of Operations, we should multiply next.

f(2) = 6 + 2

Now according to the Order of Operations, we should add.

f(2) = 8

I don't know if your question wants it as a ordered pair or not so ignore this if there is any of those. The answer in an ordered pair would be (2,8)

Now we have to do the other equation.

Input our values into the variables

h(2) = 3(2)

Now according to the Order of Operations, we should multiply next.

h(2) = 6

I don't know if your question wants it as a ordered pair or not so ignore this if there is any of those. The answer in an ordered pair would be (2,6)

Hope this Helps! :)

If you have any extra questions, comment them and I will try my best to answer!

-SGO

Full question attached

Answer:

Option C: because the percent of children compared differ too much

Explanation:

Sample Proportion of students from Montessori = students that participated from Montessori /total number of students assigned to Montessori

=30/54= 0.56

Sample proportion of students from other schools = students that participated I'm the study /total number of students assigned to other schools

=25/112

=0.22

We observe that there is a large difference(0.56-0.22) between the two sample proportions hence the bias

Answer:

=> 1/2 × 1/2

=> 2/2

=> 1

--------------------------

Answer:

im sorry this is not an answer, im just doing this to complete my profile sorry

Answer:

[tex]\frac{\sqrt{2}-\sqrt{6} }{4}[/tex]

Step-by-step explanation:

sin(x)==cos(90-x)

cos(90-195)

cos(-105)

cos(105)

cos(105)= [tex]\frac{\sqrt{2}-\sqrt{6} }{4}[/tex]

Answer:20x2

Step-by-step explanation:

Answer:

To write the answer without rounding or changing it in any way

Step-by-step explanation:

This is what exact means