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2 months ago

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2 months ago

**Answer:**

7*p

**Step-by-step explanation:**

The product of two numbers is just the two numbers multiplied.

Question

F(x) = 18x + 13, find F(4)

Solution 1

**Answer:**

f(4) = 85.

**Step-by-step explanation:**

When you substitute the 4 into the x and solve for f(4), all that means is that every x in the equation becomes 4. There's only one on the right side: the 18x. This becomes 18*4, or 72, which is then added to 13, to get 85.

Solution 2

**Answer:**

F(4) = 85

**Step-by-step explanation:**

F(x) = 18x + 13

F(4) = 18(4) + 13

F(4) = 72 + 13

F(4) = 85

Question

state whether the given scale factor would enlarge reduce or preserve the size of a figure . Scale factor=0.75

Solution 1

It would reduce the size of a figure.

Question

Write an algebraic expression for the phrase “the product of seven and p”.

Solution 1

**Answer:**

7p

**Step-by-step explanation:**

Solution 2

**Answer:**

7p

**Step-by-step explanation:**

Question

Lauren deposited x dollars into a savings account that pays 2.75% annual simple interest. After one year, Lauren's account had earned $30.25 in interest. What was the amount of Lauren's original deposit?

Solution 1

**Answer:**

The amount of Lauren's original deposit is **$1100.**

**Step-by-step explanation:**

The formula of the simplest interest is **I = P r t**, where

- P is the original amount

- r is the interest rate in decimal

- t is the time

∵ Lauren deposited x dollars into a savings account that pays

2.75% annual simple interest.

∴ **P = x dollars**

∴ r = 2.75

→ Divide it by 100 to change it to decimal

∵ 2.75 ÷ 100 = 0.0275

∴ **r = 0.0275**

∵ After one year, Lauren's account had earned $30.25 in interest

∴ **t = 1 year**

∴ **I = 30.25 dollars**

→ Substitute them in the rule above

∵ **30.25 = x(0.0275)(1)**

∴ 30.25 = 0.0275x

→ Divide both sides by 0.0275

∴ 1100 = x

∴ **The amount of Lauren's original deposit is $1100.**

Question

Find the slope and write in slope intercept form. (6,77)
(7,80)
(7,83)
(8,87)
(9,92)

Solution 1

The slope is 3. Y - 77 = 3 ( x - 6 ) is the equation in point slope form.

Question

Solve the following system of equations for x and y.
−7x + 3y = 22
−3x - 4y = −4

Solution 1

* -21x + 9y = 66

21x + 28y = 28

37y= 94

y= 94/37

* -3x - 4y = -4

-3x - 4(94/37)= -4

-3x = -4 + (4*(94/37))

21x + 28y = 28

37y= 94

y= 94/37

* -3x - 4y = -4

-3x - 4(94/37)= -4

-3x = -4 + (4*(94/37))

Question

Write a function in the form y=mx+b for the line that contains the points (-6.4, -2.6 )and (5.2,9)

Solution 1

**Answer:**

The function in the form y = mx+b will be:

y = x + 3.8

**Step-by-step explanation:**

We know that the slope-intercept form of the line equation

where

- m is the slope

- b is the y-intercept

Given the points

- (-6.4, -2.6)

- (5.2, 9)

Determining the slope between (-6.4, -2.6 )and (5.2,9)

Refine

substituting (5.2, 9) and m = 1 in the slope-intercept form of the line equation

y = mx+b

9 = 1(5.2) + b

b + 5.2 = 9

b = 9 - 5.2

b = 3.8

Therefore, the value of x = 3.8

now substituting b = 3.8 and m = 1 in the slope-intercept form of the line equation

y = mx+b

y = 1(x) + 3.8

y = x + 3.8

Therefore, the function in the form y = mx+b will be:

y = x + 3.8

Question

Round to the whole number 2.8457

Solution 1

3.0? pretty sure that’s the answer

Question

If −25x+14>20 what is X?

Solution 1

**Answer:**

x < -6/25

**General Formulas and Concepts:**

__Pre-Algebra__

Order of Operations: **BPEMDAS **

- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction

- Left to Right

Equality Properties

- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality

**Step-by-step explanation:**

__Step 1: Define__

-25x + 14 > 20

__Step 2: Solve for ____x__

- Subtract 14 on both sides: -25x > 6
- Divide -25 on both sides: x < -6/25

Here we see that any number *x* less than -6/25 would work as a solution to the inequality.

Question

(3x² - 4x+8) + (-7² - 27-8)

Solution 1

**Answer:**

3x^ - 4x - 76

**Step-by-step explanation:**

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