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vladimir1956 [14]
2 years ago
8

Multiply: (3x - 5)( 4x2 - 2x - 3)​

Mathematics
1 answer:
Klio2033 [76]2 years ago
6 0

Answer:

-21

Step-by-step explanation:

3x-5=2

4x 2=2

2x-3=2

add them together you will get -21

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A person invested $6,000, some at 7% and the rest at 5%. The income from the 7% investment is equal to the income from the 5% in
8090 [49]

Answer:

The person invested $3500 at 7% and $2500 at 5%

Step-by-step explanation:

We can say that 0,07x+0,05x=6000 because the investment is equal both in one as in another, where x is the income from the investment.

Solving the equation we have:

0,12x=6000\\x=50000

Then to get the incomes:

At 7%: I=0.07*50000\\I=$3500

And at 5%: I=0.05*50000\\I=$2500

Finally we can demonstrate the answer because the  income at 7% + income at 5% are 3500+2500=$6000

6 0
3 years ago
Anyone Help me please!! I’m completely lost
pav-90 [236]

Answer:

Parallelogram Height = 6 cm * sine (60)

Height = 6 * 0.86603

Height = 5.19618

Parallelogram Area = Height * Side TH

Parallelogram Area = 5.19618 * 8

Parallelogram Area = 41.56944 square cm

You might find this page helpful: https://www.1728.org/quadpar.htm


Step-by-step explanation:


5 0
3 years ago
Which of the two solids below are similar ?
Pachacha [2.7K]

Answer:  I and II.

Step-by-step explanation:

By definition, two solids are similar if their corresponding sides are in the same ratio.

Knowing this, let's find which solids are similar:

Corresponding sides ratio of solids I and II:

\frac{3}{2}=\frac{2}{\frac{4}{3}}=\frac{5}{\frac{10}{3}}

\frac{3}{2}=\frac{3}{2}=\frac{3}{2}

Corresponding sides ratio of solids I and III:

\frac{3}{\frac{9}{2}}=\frac{2}{3}=\frac{5}{8}

\frac{2}{3}=\frac{2}{3}=\frac{5}{8}

Corresponding sides ratio of solids II and III:

\frac{2}{\frac{9}{2}}=\frac{\frac{4}{3}}{3}}=\frac{\frac{10}{3}}{8}}

\frac{4}{9}=\frac{4}{9}=\frac{5}{12}

 You can observe that the solids  I and II are similar.

3 0
2 years ago
For each system of equations, drag the true statement about its solution set to the box under the system?
natta225 [31]

Answer:

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- The system of equation has zero number of solution if the coefficients

 of x and y are the same and the numerical terms are different

- The system of equation has infinity many solutions if the

   coefficients of x and y are the same and the numerical terms

   are the same

- The system of equation has one solution if at least one of the

  coefficient of x and y are different

* Lets solve the problem

∵ y = 4x + 2 ⇒ (1)

∵ y = 2(2x - 1) ⇒ (2)

- Lets simplify equation (2) by multiplying the bracket by 2

∴ y = 4x - 2

- The two equations have same coefficient of y and x and different

  numerical terms

∴ They have zero equation

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

∵ y = 3x - 4 ⇒ (1)

∵ y = 2x + 2 ⇒ (2)

- The coefficients of x and y are different, then there is one solution

- Equate equations (1) and (2)

∴ 3x - 4 = 2x + 2

- Subtract 2x from both sides

∴ x - 4 = 2

- Add 4 to both sides

∴ x = 6

- Substitute the value of x in equation (1) or (2) to find y

∴ y = 2(6) + 2

∴ y = 12 + 2 = 14

∴ y = 14

∴ The solution is (6 , 14)

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

3 0
3 years ago
Find the rate of change that represents the relationship in the table:
crimeas [40]

Answer:

C. 8/1 (simplified is 8)

Step-by-step explanation:

X rate of change= +1

Y rate of change= +8

Y over X

8/1

7 0
2 years ago
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