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Sloan [31]
2 years ago
6

The sum of a number and nine and is multiplied by -2 and is -8

Mathematics
1 answer:
andrey2020 [161]2 years ago
4 0

Answer:

n+9 x -2 = -8

Step-by-step explanation:

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Terrance Jacobs is looking for a larger home. Jacobs offers $205,000 for a fourbedroom house and the seller accepts. Jacobs wish
dalvyx [7]

Answer:

<u>Terrance will need a mortgage loan of US$ 174,250</u>

Step-by-step explanation:

1. Let's review the information given to solve the question.

Value of the house Terrance Jacobs is going to buy = US$ 205,000

Down payment Terrance can afford = 15% of the value of the house

Down payment Terrance can afford = 15% of US$ 205,000

Down payment Terrance can afford = 15% * 205,000

<u>Down payment Terrance can afford = US$ 30,750</u>

2. For finding the amount of the mortgage loan Terrance need for buying the house, we should do this:

Amount of mortgage loan = Value of the house - Down payment

Amount of mortgage loan = 205,000 - 30,750

<u>Amount of mortgage loan = US$ 174,250</u>

<u>Terrance will need a mortgage loan of US$ 174,250</u>

7 0
3 years ago
Help me out with this question, please thank you ❤️
mars1129 [50]
Uh is there a picture cuz we can't know what's a vetex angle if we don't see a pic
7 0
2 years ago
Simplify the number using the imaginary unit i: (square root) -28
olasank [31]
<span>(square root) -28
=</span><span>(square root) 4*-7
=2</span><span>(square root)-7
hope this helps</span>
3 0
3 years ago
Read 2 more answers
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if \frac{p}{q} is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1  10  35  50  24

  <u>| 0  -1  -9  -26   -24</u>

   <u> 1    9  26  24    0</u>

Hence quotient is x^{3} +9x^{2} +26x+24

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1   9  26   24

   <u>| 0  -2  -14   -24</u>

   <u>  1    7    12     0</u>

Hence quotient is x^{2} +7x+12

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

(-3)^{2}+7(-3)+12=-9-21+12=0

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1  7  12

   <u>| 0 -3  -12</u>

    <u> 1    4    0</u>

Hence quotient is x+4.

So, f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)

Please have a look at the graph attached.

4 0
3 years ago
Melissa worked to earn $20.00. Alan worked for $12.00 hours. If she earns $2.00 per hour, how many hours did Melissa work?
MissTica

Answer: 10 hours

Step-by-step explanation: so if you do 10 times 2.00 it equals 20 dollars or you can divide 20 and 2

5 0
3 years ago
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