For problems 1 through 3, please include

KIM [24]

Just divide -6x+10 by -2 and take out what's common.

-6x divided by -2 would be 3x.
10 divided by -2 would be -5.

So the answer is -2(3x-5).

$\sf\ Answer: -2(3x-5)$

5 0

4 years ago

A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total

larisa86 [58]

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

<h3>Find the required expression:</h3>

Algebraic expression is made up of numbers, operations and variables.

Algebraic expression is true for all values of x.

For example, 2x, 5x + 9 etc.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

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7 0

1 year ago

An amount of $21,000 is borrowed for 15 years at 7.75% Interest, compounded annually. If the loan is paid in full at the end of

Doss [256]

Answer:

A=64340 dollars

Step-by-step explanation:

A=p(1+r)^t p principal, t= time period, r is the rate

A=21000(1+0.0775)^15= 64339.61

A=64340 dollars

5 0

4 years ago

If y2 = x3 + 2, which statement is true? The equation is a function at all values of x. The equation is not a function. The equa

tatyana61 [14]

Answer:

The equation is not a function.

Step-by-step explanation:

We are given that

$y^2=x^3+2$

$y=\pm\sqrt{x^3+2}$

Function: It is mapping between the values of two sets A and B.

Each element of A has unique value in set B.

By definition of function

In given function

y has no unique value for each value of x.

Substitute x=0

$y=\pm \sqrt{0+2}=\pm \sqrt 2$

Hence, it is not a function.

6 0

4 years ago

When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 60 seconds

natulia [17]

4 products are being purchased.

Step-by-step explanation:

Given,

Time taken to select each product = 5 seconds

Time taken to complete check out process = 60 seconds

Total time taken for a transaction = 80 seconds

Let,

x be the number of products purchased.

Time taken for each product*Number of product + Time for check out process = total process

$5x+60=80\\5x=80-60\\5x=20$

Dividing both sides by 5

$\frac{5x}{5}=\frac{20}{5}\\x=4$

4 products are being purchased.

Keywords: variable, division

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8 0

3 years ago

For problems 1 through 3, please include –