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tekilochka [14]
3 years ago
7

BRAINLIESTTTTT PLS ANSWERRRRR

Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

x=9 and y=115

Step-by-step explanation:

Solve y=9x+34;y=16x−29

Steps:

I will solve your system by substitution.

y=9x+34;y=16x−29

Step: Solvey=9x+34for y:

Step: Substitute9x+34foryiny=16x−29:

y=16x−29

9x+34=16x−29

9x+34+−16x=16x−29+−16x(Add -16x to both sides)

−7x+34=−29

−7x+34+−34=−29+−34(Add -34 to both sides)

−7x=−63

−7x

−7

=

−63

−7

(Divide both sides by -7)

x=9

Step: Substitute9forxiny=9x+34:

y=9x+34

y=(9)(9)+34

y=115(Simplify both sides of the equation)

Hope this helps :)

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Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

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