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Setler [38]
4 years ago
6

(9x²+24x-8)-(5x²+3x+10)

Mathematics
1 answer:
motikmotik4 years ago
8 0

Answer:

4x^2 + 21x - 18

Step-by-step explanation:

(9x^2+24x-8)-(5x^2+3x+10)

9x^2+24x-8-5x^2-3x-10

9x^2 - 5x^2 = 4x^2

24x - 3x = 21x

-8 - 10 = -18

Answer: 4x^2 + 21x - 18

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0/1
pychu [463]

Answer:

68.8 sq. inches.

Step-by-step explanation:

The triangular surfaces have sides 2 in by 3 in by 4 in.

So, half perimeter, s = \frac{2 + 3 + 4}{2} = 4.5

So, the area of the triangular face is \sqrt{s(s - 4)(s - 2)(s - 3)} = \sqrt{4.5 \times 0.5 \times 2.5 \times 1.5} = 2.9 sq. inches.

Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)

4 0
3 years ago
Which shows one way to determine the factors of x^3 - 9x^2 + 5x - 45 by grouping ?
adoni [48]
You can group first two conjunctions and second two:
x^3 - 9x^2 + 5x - 45=(x^3-9x^2)+(5x-45).
In first brackets you have common x^2 and in second brackets common is 5:
(x^3-9x^2)+(5x-45)=x^2(x-9)+5(x-9)=(x-9)(x^2+5).
7 0
3 years ago
On the graph shown, what is f(-1)? (5 points) The first segment joints the point negative three comma five exclusively and negat
tatiyna
ANSWER

f( - 1) = 2

EXPLANATION

The given function is a piecewise defined function.

f( - 1)
is the y-value that corresponds to
x = - 1.

To determine that y-value, we need to trace from
x = - 1
to where it meets the graph.

We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.

From the graph, we can see that this x-value corresponds to a y-value of
2

This implies that, when
x = - 1,y = 2

Therefore
f( - 1) = 2
See graph.

8 0
3 years ago
The Jaxon High School prom committee has 100 thumb drives to sell in a fundraiser. The function f(x) = 8x – 200 models their inc
Alina [70]

Answer:

25 = x

Step-by-step explanation:

Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...

0 = 8x - 200  ... add 200 on both sides

200 = 8x   ... divide both sides by 8

25 = x

Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.

5 0
3 years ago
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume
san4es73 [151]

Answer:

d = 3  meters

Step-by-step explanation:

d = rt where d is the distance t is the time and r is the constant of proportionality

d = 18t

Changing 10 minutes to hours

10 minutes * 1 hours / 60 minute = 1/6 hour

d = 18 * 1/6 hour

d = 3  meters

7 0
3 years ago
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