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3 years ago

How many solutions exist for the system of equations graphed below

2 answers:

5 0

The number of solutions that exist for the system of equations is equal to the number of independent linear equations that consist the matrix. For example, in order to find the values of two independent variables, then we have to provide two independent equations according to law of degree of freedom.

tatiyna3 years ago

5 0

Answer:

Which point is in the solution set of the given system of inequalities?

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Step-by-step explanation:

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Can anyone help me? My teacher just recently taught me this today, be he never explained much. The question is in the photo

IceJOKER [234]

You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.

In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is

      Slope = (y₂ - y₁) / (x₂ - x₁) .

This is important, and you should memorize it.

#1). (8, 10) and (-7, 14)

   Slope = (14 - 10) / (-7 - 8) = 4 / -15

#2). (-3, 1) and (-17, 2)

   Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14

#3). (-20, -4) and (-12, -10)

   Slope = [ -10 - (-4) ] / [ -12 - (-20) ]

=========================================

The word problem:

This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?

A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .

Now you have two points on THAT line too, and you can easily
find its slope.

4 0

4 years ago

A rectangular billboard image is 5 ft wide and 4 ft high. If the available billboard space is 25 ft by 15 ft, what are the dimen

Lapatulllka [165]

Answer:

18¾ ft × 15 ft

Step-by-step explanation:

The dimensions of the billboard are 25 ft by 15 ft.

The dimensions of the image are 5 ft by 4 ft

Case 1. Expand the length of the image to 25 ft.

We have multiplied the length by five, so we must multiply the width by five.

w = 5 × 4 = 20 ft. That's too big. The image will overflow the billboard

by 5 ft.

Case 2. Expand the width of the image to 15 ft.

We have multiplied the width by 15/4, so we must multiply the length by 15/4.

l = 15/4 × 5 = 75/4 = . That will fit, with 6¼ ft left over.

The expanded image will be 18¾ ft × 15 ft.

In the image below, the big rectangle represents the billboard, and the red rectangle represents the original image.

The pink rectangle represents the dilation of the original image to a width of 15 ft.

5 0

3 years ago

Plz can any1 answer this question asap

vfiekz [6]

Answer:

the answer is

17+19+11=47

55-47=8

3 0

3 years ago

Read 2 more answers

Kellie is playing with a toy building block that has the shape of a rectangular prism.

Lena [83]

I think the volume is 200

3 0

4 years ago

Consider the following functions.G(x) = 4x2; f(x) = 8x(a)

noname [10]

Answer:

(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

(b) Every function of the form $4x^2+C$ is an antiderivative of 8x

Step-by-step explanation:

A function F is an antiderivative of the function f if

$F'(x)=f(x)$

for all x in the domain of f.

(a) If $f(x) = 8x$ , then $G(x)=4x^2$ is an antiderivative of f because

$G'(x)=8x=f(x)$

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of f.

(b) Because

$\frac{d}{dx}(4x^2)=8x$

then $G(x)=4x^2$ is an antiderivative of $f(x) = 8x$ . Therefore, every antiderivative of 8x is of the form $4x^2+C$ for some constant C, and every function of the form $4x^2+C$ is an antiderivative of 8x.

8 0

4 years ago