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3 years ago

Which graph represents the function y=5(1/3)x

Mathematics

2 answers:

Marrrta [24]3 years ago

8 0

Answer:

the answer is the b) second graph because the equation matches the graph ,and the y is intercept is 5

ki77a [65]3 years ago

4 0

Answer:

the answer is the b) second graph because the equation matches the graph ,and the y is intercept is 5.

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Find the zeros of the following polynomial. 3x3 + 9x2 - 12x

Arada [10]

x = 4
x = -1
x = 0

Equation at the end of step 1 :

((3 • (x3)) - 32x2) - 12x = 0
Step 2 :

Equation at the end of step 2 :

(3x3 - 32x2) - 12x = 0
Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2 Factoring x2 - 3x - 4

The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization

8 0

3 years ago

Read 2 more answers

Brandon is making a ramp . The ramp stands 3 feet tall and is 9 feet long . How long is the base of the ramp

tresset_1 [31]

Answer: 8.48 Feet

Step-by-step explanation:

We can use the Pythagorean Theorem, A^2 + B^2 = C^2

A^2 + B^2 = C^2

A^2 + 3^2 = 9^2

A^2 + 9 = 81

81 - 9 = A^2

72 = A^2

√72 = A

8.48 = A

Hope this helps!

8 0

3 years ago

Andy’s Appliance Repair charges a certain amount for house calls based on the amount of time that it takes for the repair. Use t

wariber [46]

for the table its 30 * the hours +20 for example 30(1)+20=50 or 30(4)+20=140. the total cost is 30 times the hours plus 20.

4 0

3 years ago

Use ABC to find the value of sin A. a. 12/37 b. 37/12 c. 35/37 d. 12/35

FromTheMoon [43]

Answer:

a. 12/37

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

Sin = Opposite/Hypotenuse

sin(A) = BC/AB = 12/37

4 0

4 years ago

Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.

Nostrana [21]

Answers:

The graph is attached below. With this information we have to answer the questions:

1) Who is at the trail start at 9:00 a.m.?

Andy

According to the graph, at 9:00 a.m. Andy is at the point (0,0), which is the begining of the trail. Hence, he is at the trail start.

2) Who runs fastest?

Bertha

If we observe the slopes of each line; Bertha's slope has the least steep. This means she is displacing more in less time, than the other two runners.

3) When do Andy and Berta cross paths?

After 8 minutes, on mile 1.

According to the graph, exactly at the point (8,1), which is at 9:08 a.m. and in mile 1; is when the paths of both runners intercept each other.

4) Who is closest to the 1.5 mile mark after 6 minutes?

Bertha

As we see in the graph, at 9:06 a.m Bertha is closest to the 1.5 mile mark, since her line is closest to this point at that time.

4 0

3 years ago

Read 2 more answers