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Harlamova29_29 [7]
2 years ago
15

Vanessa uses the expressions (3x² + 5x + 10) and (x² – 3x - 1) to represent the length and width of her patio.

Mathematics
1 answer:
Kay [80]2 years ago
5 0

Answer:

a) 3x⁴-4x³-8x²-35x-10

Step-by-step explanation:

3x2(x²-3x-1)+5x(x²-3x-1)+10(x²-3x-1)

3x⁴-9x³-3x²+5x³-15x²-5x+10x²-30x-10

3x⁴-9x³+5x³-3x²-15x²+10x²-5x-30x-10

3x⁴-4x³-8x²-35x-10

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Almost done. I need help with this part
valentina_108 [34]

Answer:

\%Percent = 14.3\%

Step-by-step explanation:

Required

15 is what percentage of 105

To do this, simply divide 15 by 105 multiplied by 100%.

So, we have:

\%Percent = \frac{15}{105} * 100\%

\%Percent = \frac{15*100}{105}\%

\%Percent = \frac{1500}{105}\%

\%Percent = 14.3\% --- approximated

8 0
3 years ago
Marina is solving the equation below by using the multiplicative inverse, or the reciprocal. One-fifth (x minus 2) = 20 By which
miskamm [114]

Answer:

Step-by-step explanation:

Given the equation:

1/5 × (x - 2) = 20

First step to solving the equation is

By multiplying both sides by the value of 5.

That will give,

x - 2 = 100

x = 100 + 2

= 102

6 0
3 years ago
Read 2 more answers
5/6 (x - 1) = 4 what Is x
vfiekz [6]
5/6(x-1)=4
(x-1)=(4*6)/5
x-1=24/5
x=24/5  +  1
least common multiple=5
x=(24+1*5)/5
x=29/5

Answer: x=29/5

To check:

5/6(x-1)=5/6(29/5  -1)=5/6[(29-5)/5]=5/6(24/5)=(5*24)/(6*5)=120/30=4

6 0
3 years ago
Read 2 more answers
the polynomial ky^3+3y^2-3 and 2y^3-5y+k when divided by (y-5) leave the same remainder in each case. Find the value of k.
marshall27 [118]

Answer:

k=\frac{153}{124}

Step-by-step explanation:

According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).

The first polynomial is :

p(y)=ky^3+3y^2-3

When p(y) is divided by y-5, the remainder is

p(5)=k(5)^3+3(5)^2-3

p(5)=125k+75-3

p(5)=125k+72

When the second polynomial:

m(y)= 2y^3-5y+k is divided by y-5.

The remainder is;

m(5)= 2(5)^3-5(5)+k

m(5)= 225+k

The two remainders are equal;

\implies 125k+72=225+k

\implies 125k-k=225-72

\implies 124k=153

k=\frac{153}{124}

3 0
3 years ago
Joshua decided he did not want to study for the test so he randomly chose answers to a 5 question test. If each question had 4 a
Veronika [31]

Answer:

there is a 0.0009765625 in 1 chance that he got 100%.

Step-by-step explanation:

possibility of getting a question right: 1/4

# of questions: 5

(1/4)^5 is 0.0009765625

5 0
3 years ago
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