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Ulleksa [173]
2 years ago
9

Quadratic functions g (x) and h (2) are graphed on the same coordinate gri

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
5 0
<h3>Since their vertices have the same x-value , solving their derivative equal to zero must give the same answer:</h3>

<h2>A & D are eliminated:</h2>

The derivative of h(x) in A is 2x+24

h'(x)=0 g'(x)=0

2x+24=0 2x=0

x=-12 x=0

Similarly the derivative of h(x) in D is 2x-24

h'(x)=0 g'(x)=0

x=12 x=0

<h3>Knowing that B & C give the same x-value when solving for the derivative=0</h3>

We know that the only difference comes down to the y-value when substituting x=0 in h(x).

The y-value of the vertex of h(x) must be +12 the y-value of the vertex of g(x).

We have to add 12 to get to the x-value, which means that the third option or C is your answer.

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252,247,242 Find the 31st term.
Bumek [7]

Answer:

97

Step-by-step explanation:

those numbers are all 5 apart so 5 x 31 is 155. 252-155 is 97 you could also find the same answer by subtracting 5 from 252 31 times on a calculator which is essentially the same as the above explanation but helps if you dont

know how to multiply

8 0
4 years ago
Read 2 more answers
200 is 90 more than five times d. Find d.<br> Let:<br> Equation:<br> Solve:
Fantom [35]

200-90= the answer then find d which is easy

3 0
4 years ago
What is the value of x?​
adell [148]

again, we're assuming that both triangles are similar, and thus using proportions.

\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

4 0
3 years ago
kevin wants to make a mixture that is 50% lemon juice and 50% lime juice how much 100% lesson juice should he add to a juice mix
fiasKO [112]

Answer:

Kevin must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.

Step-by-step explanation:

Given : Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. 100% lesson juice should he add to a juice mixture that is 40% lemon juice and 60% lime juice to make 6 gallons of the 50% lemon 50% lime juice mixture.

To find : How much 100% lesson juice should he add to a juice mixture.

Solution :

According to question, we wants to make mixture where lemon = lime

We have to make 6 gallons, where

40% lemon juice require to make 6 gallon

i.e,  40\% \text{ of } 6= 0.4 \times 60=2.4

and 60% lime juice require to make 6 gallon

i.e,  60\% \text{ of } 6= 0.6 \times 60=3.6

Now, to make them equal subtract both of them

\Rightarrow 3.6-2.4=1.2

Therefore, he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.

8 0
3 years ago
Read 2 more answers
Please can i have some help, just on this question, thank you so much!
Andrew [12]

Answer:

a) 1/2 of 12 = 1/4 of 24

b) 1/3 of 90 = 2/3 of 45

Step-by-step explanation:

1/2 of 16 is 6, so 6 would be 1/4 of what? 6 x 4 = 24. 6 is 1/4 of 24. The other one is the same. 1/3 of 90 is 30, and 30 is 2/3 of 45.

5 0
2 years ago
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