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2 years ago

Please help with 7 and 8

Mathematics

2 answers:

Serhud [2]2 years ago

6 0

For #7 - part a: greatest common factor (GCF) is 5.

Part b: cross out everything BUT 10 & 20.

blondinia [14]2 years ago

4 0

Answer:

Step-by-step explanation:

7 Part A the GCF is 5

Part B cross out 15 and 25

8 Commutative Property

Assosiative Property

and I think the 10.2 is Additive Identity Property, I am not sure, ask your teacher if they will help

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3. Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 4x + 1 (1

asambeis [7]

Answer:

D. y = -1/4x + 3

Step-by-step explanation:

If the line is perpendicular, it will have a opposite reciprocal slope.

So, the slope will be -1/4.

Plug in this slope and the given point into y = mx + b, and solve for b:

y = mx + b

-6 = -1/4(12) + b

-6 = -3 + b

-3 = b

Plug in the slope and y intercept into y = mx + b

y = -1/4x - 3

So, the correct answer is D. y = -1/4x + 3

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2 years ago

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-3x-7y=37 which ordered pair is a solution to this equation

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In this item, we are not given with the choices for the ordered pair which could be the solution to the given equation. What can be done is to assume a value for one of the variables and solve for the other. To be able to find one that satisfies let x be equal to zero and substitute to the given equation.

-3(0) - 7y = 37

Simplifying,

-0 - 7y = 37

The value of y from the equation is 37/7. Thus, one of the ordered pairs that satisfies the equation is,

(0, 37/7)

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3 years ago

Read 2 more answers

If a scale drawing has a scale of 1 centimetre to 4 meters which measurements are correct

andrew-mc [135]

Answer: Statements 2 and 3

Step-by-step explanation:

On a drawing scale;

1cm - 4m

4CM - 16M (MULTIPLYING BY 4)

6cm - 24m (multiplying by 6)

7cm - 28m (multiplying by 7)

8cm - 32m (multiplying by 8)

9CM - 36M (MULTIPLYING BY 9)

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3 years ago

Solve 2(x + 1) = 2x + 2. (1 point) ♡ 0 O All real numbers No solution 1

sattari [20]

Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

2x + 2 = 2x + 2

Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

2(5 + 1) = 2(5) + 2

2(6) = 10 + 2

12 = 12

2(x + 1) = 2x + 2

2(150 + 1) = 2(150) + 2

2(151) = 300 + 2

302 = 302

The expression is equal for any value put in x.

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2 years ago

An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of

never [62]

Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an exponential equation.

General form of an exponential function:

$f(x)=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment decreases by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

$f(x)=1000000(0.978)^x$

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

$\implies f(10)=1000000(0.978)^{10}=800500.1586$

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

Learn more about exponential functions here:

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1 year ago