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3 years ago

Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form.

Mathematics

1 answer:

Kisachek [45]3 years ago

8 0

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5

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Given the system of equations presented here:

Nata [24]

2x + 4y = 14
4x + y = 20......multiply by -4
----------------
2x + 4y = 14
-16x - 4y = -80 (result of multiplying by -4)
---------------add
-14x = -66....as u can see, ur y's cancel out

so ur answer is : 1st answer choice <==

** and just so u know, u could have multiplied the 1st equation by -2, and it would have cancelled out ur x's

6 0

3 years ago

How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many

Fittoniya [83]

It has one solution :)

7 0

2 years ago

A company has developed a training procedure to improve scores on the SAT. Following the training, 100 high school students take

Pani-rosa [81]

Answer:

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

Step-by-step explanation:

Step(i):-

Given sample mean (x⁻ ) = 517

sample standard deviation (s) =90

Mean of the Population (μ) =500

Null Hypothesis :- H₀ : (μ) =500

Alternative Hypothesis : H₁ : μ ≠ 500

Step(ii):-

Test statistic

$t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }$

$t = \frac{517 -500}{\frac{90}{\sqrt{100} } }$

t = 1.717

Level of significance

∝ = 0.05

t₀.₀₅ = 1.6604

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Conclusion:-

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

3 0

3 years ago

F(x)=x^2+3; g(x)=x+4 find (fog)(-2)

AnnyKZ [126]

(Fog) = f(g(x))
g(-2)=-2+4=2
f(2)=2^2 +3 = 4+3 =7

5 0

3 years ago

Mr. Jones is four times as old as his son. Six years ago he was ten times as old as his son. How old is the son now?

Advocard [28]

Answer:

After 16 years …mr James age =4X+16 and his son's age will be X+16

As per the question in 16 years his age will be 2 twice

(4X+16)=2(X+16)so by simplifying this we will get 2X=16..and X=16/2=8

Step-by-step explanation:

6 0

3 years ago