MATHEMATICS MIDDLE SCHOOL

Find the output, k, when the input, t, is -7−7minus, 7.
k = 10t-19k=10t−19

Answers

Answer 1

Answer:

The value of k is -89

Explanation:

The given expression is $k=10t-19$

We need to determine the output k, when the input t is -7

Output k:

The value of the output k can be determined by substituting the input $t=-7$ in the expression $k=10t-19$

Thus, we have,

$k=10(-7)-19$

Multiplying the terms 10 and -7, we have,

$k=-70-19$

Simplifying, we get,

$k=-89$

Thus, the value of k is -89

Answer 2

Answer:

Answer:

-89

Step-by-step explanation:

khan

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Darius created a factor tree and wrote the prime factorization of 60 shown here.A factor tree of 60. 60 branches to 4 and 15. 4 branches to 2 and 2. 15 branches to 3 and 5.

60 = 2 × 3 × 5

What is Darius’s error?

Answers

Answer: he needs to finish factoring the 4s.

Step-by-step explanation:

4x15 is 60, so that is right, 3x5 is 15, so that’s is right, 2x2 is 4, so that is right, but he didn’t finish factoring. 1x1 is 2, so he should have 1 and 1 coming from each 2 on the tree. Hope this helps.

- Trevon invested $1.500 in an account with an interest rate of 4.25%. If he plans to retire in 18 1/2 years, how much total will be in theaccount?

Answers

Answer:

I=PRT is the formula

Step-by-step explanation:

Principal is $1,500. The interest rate is 4.25% and the time is 18.5 years.

That's all i know good luck

the value in dollars v(x), of a certain truck after x years is represented by the equation v(x)= 32,500(0.92) raised to the x power. To nearest dollar, how much is the truck worth after 2 years.

Answers

Answer: The truck is worth of $27508 after 2 years.

Step-by-step explanation:

Since we have given that

The value in dollars v(x), of a certain truck after x years is represented by the equation :

$v(x)=32500(0.92)^x$

We need to find the price of the truck after 2 years,

so, x= 2

So, we put the value of x = 2 in the above equation:

$v(x)=32500(0.92)^2\n\nv(x)=\$27508$

Hence, the truck is worth of $27508 after 2 years.

Answer:

$27508

Step-by-step explanation:

.92^2 is .8464, .8464 •32500 is 27508!

What is one thousand minus 7?

Answers

one thousand = 1000
1000 minus 7
1000 - 7 = 993

A line passes through (2, 8) and (4, 12). Which equation best represents the line?y = 1 over 2 x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2 x + 10

Answers

The equation which best represents the line with the given points (2, 8) and (4, 12)is $y = 2x + 4$ .

Given the following points:

Points on the x-axis = (2, 8).

Points on the y-axis = (4, 12).

To determine the equation which best represents the line, we would find its slope by using the following formula:

The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following formula;

$Slope. \;m = (Change \; in \; y \;axis)/(Change \; in \; x \;axis) \n\nSlope. \;m = (y_2 - y_1)/(x_2 - x_1)$

Substituting the given points into the formula, we have;

$Slope. \;m = (12 - 8)/(4 - 2)\n\nSlope. \;m = (4)/(2)$

Slope, m = 2.

The standard form of an equation of line is given by the formula;

$y = mx + c$

Where:

x and y are the points.

m is the slope.

b is the intercept.

Next, we would solve for the intercept:

$y = mx + b\n\n8 = 2(2) + b\n\n8 = 4 + b\n\nb = 8 - 4$

Intercept, b = 4.

Finally, we can now write the equation which best represents the line as follows:

$y = 2x + 4$

You need to calculate it's slope.
(x₁,y₁) = (2,8) and (x₂,y₂) = (4,12)
Now,(y₂-y₁) = m(x₂-x₁)
(12-8) = m(4-2)
2m = 4
m = 4/2
m = 2

Now, take any one point for calculation of b in equation;
8 = 2(2) + b
b = 8 - 4
b = 4

So, Equation of the line would be: y = 2x + 4

In short, Your Answer would be Option C

Hope this helps!

Slove for x. x/15= 3 4/5