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tresset_1 [31]
1 year ago
10

y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? On a

graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines; the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines; the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.
Mathematics
1 answer:
Ronch [10]1 year ago
7 0

On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. Option A is correct.

Given that,
y = −3x + 5 ,
y = x + 2
Which of the following statements best explains the steps to solve the pair of equations graphically is to be determined.

<h3>What is the equation?</h3>

The equation is the relationship between variables and is represented as y = mx + c  is an example of a polynomial equation.

Here,
Intersection point of two lines on the graph is system of solution for the pair of the equation,

Thus, On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. Option A is correct.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

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Help me please number 3
asambeis [7]

Answer:

c = 26

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

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What do we get when we break apart 46+26 using place value?
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3 years ago
Given that f (x) = x^2 - 5x and g (x) x + 4
velikii [3]
1) (x-2)^2
2)-4x(x+5)

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8 0
3 years ago
Stan wants to start an IRA that will have $250,000 in it when he retires in 25 years. How much should he invest semiannually in
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5 0
3 years ago
If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have S_1=3\times2^{1-1}+2(-1)^1=3-2=1, which agrees with the initial value <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}

and

S_k=3\times2^{k-1}+2(-1)^k

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}

From the given recurrence, we know

S_{k+1}=S_k+2S_{k-1}

so that

S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)

S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}

S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)

S_{k+1}=3\times2^k-2(-1)^k

S_{k+1}=3\times2^k+2(-1)(-1)^k

\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}

which is what we needed. QED

6 0
3 years ago
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