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Mashutka [201]
2 years ago
13

Which statements are true about the polynomial function? f(x)=x4+5x3−x2−5x

Mathematics
1 answer:
topjm [15]2 years ago
3 0

Answer:

f(5) is NOT 0.

When x=-5, f(x) IS 0.  

f(x) divided by (x+5) has a remainder of 0. (x+5) is a factor of f(x).

But x-5 is NOT a factor of x.

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Leila puts an integer into the "In" box of each machine.
kykrilka [37]

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

\mathbf{y = 2(5x + 3) - 24}

The equation represented on machine B is:

\mathbf{y = 4(2(x + 11) - 7)}

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

\mathbf{y = y}

So, we have:

\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}

Open brackets

\mathbf{10x + 6 - 24 = 8x + 88 - 28}

\mathbf{10x - 18 = 8x + 60}

Collect like terms

\mathbf{10x - 8x = 18 + 60}

\mathbf{2x = 78 }

Divide both sides by 2

\mathbf{x = 39 }

Substitute 39 for x in \mathbf{y = 2(5x + 3) - 24}

\mathbf{y = 2 \times (5 \times 39 + 3) - 24}

\mathbf{y = 372}

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

brainly.com/question/15715866

4 0
3 years ago
What is the slope-intercept equation of this line?
Gekata [30.6K]

Answer:

y = -2x+8

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/x2-x1)

m = ( -4 -8)/(6 - 0)

    = -12/6

   = -2

The y intercept is 8 from the point (0,8)

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -2x+8

7 0
3 years ago
What is the value of the fourth term in geometric sequence for which a1 = 15 and r = 1/3?
Naya [18.7K]
So you express fraction. 
15 x (1/3)^ 3=15/27=5/9
7 0
3 years ago
Read 2 more answers
Find a whole number x in x/113 so that the ratio is a good estimate for pi
NISA [10]
So the initial question is x / 113 = 3.14 (we're keeping it a smaller decimal for now)

What you should do first is multiply both sides by 113

Your answer should be x = 354.82

Round this up to x = 355. <-- This is why we only used 3.14 at the start

Now check your work:
x / 113 = ?
355 / 113 = 3.14159265358979... which essentially is pi
4 0
3 years ago
Find the slope and the y intercept of the line y=-5/4x+9
patriot [66]

Answer:

-5/4

Step-by-step explanation:

the slope is the variable in front of x

y = mx + b

m = slope

b = y-int

8 0
3 years ago
Read 2 more answers
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