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d1i1m1o1n [39]
3 years ago
11

Determine whether the given binomial is a factor of the function f(x) = 2x^3 + x^2 - 25x + 12. Write factor or not a factor.

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

I think it's 4.2x - 1

sorry if I got it wrong

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Write an equation for each context. Draw a model first if necessary, and make sure you define your variable and what it represen
natta225 [31]

Answer:

a. 6x+1240=12484

b.

x_1+x_2+x_3+x_4=65\\x_2=2x_1\\x_3=x_1+2\\x_4=0.25x_2

c. 5x+20=415

Step-by-step explanation:

a. In the account are 6 deposits of the paid that Tom gets each month and the initial $1240. Let x be the paid Tom gets each month, then:

6x+1240=12484

Solving for x:

6x=12484-1240\\6x=11244\\x=\frac{11244}{6} \\x=1874\\

b)Let x_1 be pounds contained in the first box, x_2 the pound in the second box, x_3 the pounds in the third box and x_4 the pound in the fourth box, then:

x_1+x_2+x_3+x_4=65\\x_2=2x_1\\x_3=x_1+2\\x_4=0.25x_2

Substitute the value of x_2 in the last equation:

x_4=0.25(2x_1)\\x_4=0.5x_1

Substitute all the equation in the first and solve for x_1:

x_1+(2x_1)+(x_1+2)+(0.5x_1)=65\\4.5x_1=65-2\\x_1=63/4.5=14

Solving for x2,x3, and x4:

x_2=2x_1=2*14=28\\x_3=x_1+2=14+2=16\\x_4=0.25x_2=0.25*28=7

c) Simon is ordering 5 cans and 5 racquets, the total from the cans is 5(4)=$20. Let x be the cost of each racquet,

5x+20=415

Solving for x:

5x=415-20\\x=395/5=79

3 0
3 years ago
Plz help with this!!!
Pachacha [2.7K]
4x - y = 61 
2y = x

substitute x = 2y in first equaation:-

4(2y) - y = 61
7y = 61 
y = 61/7 

so x = 2 * 61/7  = 122/7

y = 8 5/7  and x = 17 3/7
7 0
3 years ago
∛729 help me now whyhfbgjwkbg
Maslowich
The answer is 9.
This is a cube root.
9 cubed, or 9 the the third power, is 729
8 0
3 years ago
Solve the following system of equations: x + 3y = 10 and 2x + 2y = 12
Thepotemich [5.8K]

Answer:

x=4 and y=2

Step-by-step explanation: Step 1: Solve x+3y=10 for x:

x+3y=10

x+3y+−3y=10+−3y(Add -3y to both sides)

x=−3y+10

Step 2: Substitute−3y+10for x in2x+2y=12:

2x+2y=12

2(−3y+10)+2y=12

−4y+20=12(Simplify both sides of the equation)

−4y+20+−20=12+−20(Add -20 to both sides)

−4y=−8

−4y

−4

=

−8

−4

(Divide both sides by -4)

y=2

Step 3: Substitute 2 for y in x=−3y+10:

x=−3y+10

x=(−3)(2)+10

x=4(Simplify both sides of the equation)

So your answer would be x=4 and y=2

Hope this helps

4 0
3 years ago
What is the algebraic expression for this word problem
aksik [14]
What is the word problem?

4 0
3 years ago
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