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kaheart [24]
3 years ago
8

Solve the proportion ASAP help do both questions

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Answer:

7. 4

8. 7

Step-by-step explanation:

7. \frac{1}{2} = \frac{x}{8}

Cross multiply

1*8 = x*2

8 = 2x

\frac{8}{2} = \frac{2x}{2} (division property of equality)

4 = x

x = 4

8. \frac{3}{x - 3} = \frac{6}{8}

Cross multiply

3*8 = 6(x - 3)

24 = 6x - 18

24 + 18 = 6x (addition property of equality)

42 = 6x

Divide both sides by 6

7 = x

x = 7

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P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)
Igoryamba

Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}⇒(1)

\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}⇒(2)

\frac{2x-14}{x-7}=2⇒(3)

From (1) , (2) and (3)

The quotient of the long division is x^{2}+x+2 and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

(x^{2}+x+2)(x-7)=x^{3}-6x^{2}-5x-14

8 0
3 years ago
Solve the system of equations -5x – 2y = 13 and 3x-y = 12 by combining the equations
Ne4ueva [31]

Answer:

x=1 y =15

Step-by-step explanation:

hopefully correct

-5x-2y=13 (i)

3x-y=12

-y=12-3x

y=-12+3x (ii)

substitute ii into i

-5x-2(-12+3x)=13

-5x +24-6x=13

-11x=-11

x=1

substitute x into ii

y=-12+3(1)

y=15

.

. . x=1 and y =15

4 0
2 years ago
Kendrick Campbell purchased a $25,000 municipal bond at a quoted price of 93.456 the bond pays annual interest at a rate of 3.7%
Anastasy [175]
The interest is $925.
4 0
3 years ago
Find x. <br> Side splitter theorem
professor190 [17]

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

\frac{8}{8+4} = \frac{x-3}{x} , that is

\frac{8}{12} = \frac{x-3}{x} ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

3 0
3 years ago
A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the result
irina1246 [14]

Answer:1.50

Step-by-step explanation:None

5 0
3 years ago
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