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maw [93]
3 years ago
9

HELP PLEASE!!!!

Mathematics
1 answer:
brilliants [131]3 years ago
8 0
B. -1(7x+10)(x+2) expand and check
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Jake studied x hours for a big test. Julie studied half as long. Write an algebraic expression for long julie studied.
kipiarov [429]
X/2 is howling Julie studied
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4 years ago
Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)
timofeeve [1]

Answer:x-2y-2=0

Step-by-step explanation:

Given :

f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8

Point of intersection :

f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}

x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75

So, we have points \left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )

Equation of line passing through two points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )

Let \left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )

So, equation is as follows :

y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0

4 0
4 years ago
Find the Pearson correlation coefficient R for the given point round any intermediate calculation to no less than six decimal pl
ElenaW [278]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Get the given data values

STEP 2: Write the formula for calculating the coefficient

STEP 3

: Calculate the correlation coefficient

Using the calculator,

Hence, the value of r is 0.791

7 0
1 year ago
Which of the following values of x make the following functions equal? y =4x+6 and y=5x+3
Arturiano [62]

Answer:

The value of x that makes both functions. y = 4·x + 6 and y = 5·x + 3 equal is;

x = 3

Step-by-step explanation:

The given functions are;

y = 4·x + 6 and y = 5·x + 3

For the functions to be equal, we have that the y values are equal, therefore;

y = y and 4·x + 6 = 5·x + 3, which gives;

4·x + 6 = 5·x + 3

5·x - 4·x = 6 - 3

∴ x = 3

Therefore, the value of x that makes both functions. y = 4·x + 6 and y = 5·x + 3 equal is x = 3.

5 0
3 years ago
Read 2 more answers
Solve for x: 4(x + 2) = 3(x − 2) −2 −4 −10 −14
Nat2105 [25]

Answer:

I'm guessing those other negatives are options but my answer is x=-14.

3 0
3 years ago
Read 2 more answers
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