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3 years ago

What is the axis of symmetry for the function f(x)=7−4x+x2?

Mathematics

2 answers:

Rufina [12.5K]3 years ago

6 0

Answer:

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by

Comparing this equation with vertex form of a parabola , where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.

Ulleksa [173]3 years ago

3 0

I was going to help you with this one but it looks like you got it all covered !!!!

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When y is inversely proportional to X where X and Y is equal to 2 then find when the value of x =0.5 is equal to 0.5

ki77a [65]

Answer:

XY=2

dividing both sides with y

X=2/y

(to find value of X, y should be transpose to the right or remove)

when X=o.5

y=2/0.5

y=4

so value of X is 0.5 when y=4

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3 years ago

What are the roots of the function y = 4x2 + 2x - 30?

a_sh-v [17]

Answer:

-3, 5/2

Step-by-step explanation:

What are the roots of the function y = 4x2 + 2x – 30?

To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.

Factor out the GCF of : 2, so the equation becomes 0 = 2(2x2+x-15)

Next, factor the trinomial completely. The equation becomes: 0=2(x+3)(2x-5)

Use the zero product property and set each factor equal to zero and solve.

x+3=0 2x-5 = 0

x = -3, 5/2

The roots of the function are -3, 5/2.

Hope this helped!

7 0

3 years ago

Evaluate the following expressions by substituting s = 5 and t = 4.

s344n2d4d5 [400]

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathbf{4t^2 - 2t - s}$

$\huge\textbf{Solving:}$

$\mathbf{4t^2 - 2t - s}$

$\mathbf{= 4(4)^2 - 2(4) - 5}$

$\mathbf{= 4(4\times 4) - 2(4) - 5}$

$\mathbf{= 4(16) - 2(4) - 5}$

$\mathbf{= 64 - 2(4) - 5}$

$\mathbf{= 64 - 8 - 5}$

$\mathbf{= 56 - 5}$

$\mathbf{= 51}$

$\huge\textbf{Answer:}$

$\huge\boxed{\textsf{Option B. 51}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>~ $\frak{Amphitrite1040:)}$ </h3>

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2 years ago

Nine slices of pizza for seven kids

Dmitrij [34]

Answer:

each child would get 1.29 slices, or 9/7 slices

Step-by-step explanation:

you take the amount of pizza and divide it by the amount of children, which is 9/7

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