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monitta
3 years ago
13

GeoA Test 3-1 3-2 Version 1

Mathematics
1 answer:
prohojiy [21]3 years ago
8 0
I don’t see anything what do you need help with?
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Given f ( x ) = 3 x 2 + k x − 13 f(x)=3x 2 +kx−13, and the remainder when f ( x ) f(x) is divided by x + 4 x+4 is 15 15, then wh
Varvara68 [4.7K]

Answer:

k=5

Step-by-step explanation:

We are provided with function, f ( x ) = 3 x^{2} + kx − 13

which is divided by x+4 gives 15.

Here,

since f(x) is divided by x+4 so we can put :

x+4 = 0

x= -4

Putting this in f(x) -----> f(-4)

f(x) = f(-4) = 3 (-4^{2}) + k(-4) − 13

f(-4) = 3(16) - 4k - 13

f (-4) = 48 - 4k - 13                ------------------------------------------Equation 1

Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,

f(-4) = 15

putting in equation 1

f (-4) = 15 = 48 - 4k - 13

48 -4k - 13 = 15

35 - 4k = 15                      

35 - 15 = 4k                         (Moving - 4k on right hand side and 15 on the left)

or 20 = 4k

or 4k = 20

k = \frac{20}{4}

<h2>k = 5</h2>

4 0
3 years ago
You need to wrap a present that is in the shape of a rectangle prism. The present has a length of 5 inches, a width of 4.5 inche
Serggg [28]
The surface area is made up of six sides and the area is then just the sum of the areas of the six sides...

A=2xy+2xz+2yz

A=2(xy+xz+yz)  in this case:

A=2(5*4.5+5*3.5+4.5*3.5)

A=2(22.5+17.5+15.75)

A=2(55.75)

A=111.5 in^2
3 0
3 years ago
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The car dealership decides to revise its commission program. Now the salesperson gets a flat commission of $60 for every $200 of
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60 is what percent of 200...
60/200 = x/100
200x = 6000
x = 6000/200
x = 30%...that means for every sale, the sales person gets a 30% commission

C(p) = 0.3p <==
4 0
3 years ago
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What is the value of x in the following equation?<br><br> 5x−13=15+7x
Alex787 [66]
5x-13=15+7x
-13=15+2x
-28=2x
-14=x
7 0
2 years ago
Find the 40th term of the arithmetic sequence-2,1,4,7,10
klio [65]
A40=a1 +(40-1)r
in this case r is 3 beceause -2+3 will be 1 etc
a40=-2 +39*3
3 0
3 years ago
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