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

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:

Terrance will need a mortgage loan of US$ 174,250

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

Down payment Terrance can afford = US$ 30,750

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

Amount of mortgage loan = US$ 174,250

Terrance will need a mortgage loan of US$ 174,250

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]

(square root) -28
=(square root) 4*-7
=2(square root)-7
hope this helps

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

| 0 -1 -9 -26 -24

1 9 26 24 0

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

| 0 -2 -14 -24

1 7 12 0

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

| 0 -3 -12

1 4 0

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