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Slav-nsk [51]
3 years ago
7

Tabitha's mom is trying to decide between two plumber companies to fix her sink.

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

the amount due for 3 hours would be $52 + ($34/hr)(3 hrs) = $154

Step-by-step explanation:

Write two equations, one for the total cost payable to Water R Us and another to Clogs:  

$52 + ($34/hr)t  =  $34 + ($40/hr)t, or

$18 = ($6/hr)t, which tells us that t = 3 (That's 3 hours).

At the time the charges from the two companies would be the same (3 hours into the job), the amount due for 3 hours would be

$52 + ($34/hr)(3 hrs) = $154

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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
Please help !! Thank you so much !
Alekssandra [29.7K]

Answer:

A, because m is less than 4.4 so 4.4, is gonna be greater

6 0
3 years ago
Read 2 more answers
A baby weights 18 pounds at her four month appointment. Six months later she weights 24 pounds. By what percentage did the baby’
Anna11 [10]

Answer: 25%

Step-by-step explanation:

Given : Previous baby's weight = 18 pounds

New baby's weight =  24 pounds.

Increase in weight = New weight -Previews weight

=24 pounds - 18 pounds  =6 pounds

Percentage increase in baby's weight ==\dfrac{\text{Increase in baby's weight}}{\text{previous weight}}\times100

\\\\=\dfrac{6}{24}\times100=25\%

Hence, the percentage increase in baby's weight = 25%

4 0
3 years ago
$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interes
Advocard [28]

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

5 0
2 years ago
‼️Someone Please help Me the graph is in the picture ‼️ Will make brainliest
baherus [9]

Answer:

32

Step-by-step explanation:

The equation V=-32t+256 and the graph below describe the velocity V in feet per second of a ball <em>t</em> seconds after it is shot into the air.

To find the balls velocity after seven seconds, substitute t = 7 into the function expression:

V(7)=-32\cdot 7+256\\ \\=-224+256\\ \\=32\ ft/sec

6 0
3 years ago
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