Use the remainder theorem to verify this statement. (x+5) is a factor of the function f(x)= x^3+3x^2-25x-75. Find the (blank) of f(x) and x+5. The (blank) of this operation is 0. Therefore, (x+5) is (blank) of function f. So f(blank) =0.
Blank choices:
1. product, sum, difference, or quotient
2. sum, discriminant, quotient, or remainder
3. the opposite, the simplified form, not a factor, a factor
4. -5, -75, 75, 5

Answer:

48 brainlest plz

Step-by-step explanation:

22-8=14

14+34=48

Answer:

(x-18)^2+(y+6)^=36

Step-by-step explanation:

circle basic equation is (x-h)^2+(y-k)^2=r^2

center is (18,-6) it is also externally tangent

so

(x-18)^2+(y+6)^2=36 answer

The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]

A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]

The center is (18,-6) it is also externally tangent;

Therefore,

[tex](x-18)^2+(y+6)^2=36[/tex]

Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]

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Answer:

[tex]P(X = 5) = 0.166[/tex]

Step-by-step explanation:

Given

[tex]Mean = 4.3[/tex]

[tex]x = 5[/tex]

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]

Where

[tex]\alpha[/tex] is used to represent the mean

and

[tex]\alpha = 4.3[/tex]

[tex]x = 5[/tex]

[tex]e = 2.71828[/tex] ---- Euler's constant

So, we have:

[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}[/tex]

[tex]P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}[/tex]

[tex]P(X = 5) = \frac{19.9469850243}{120}[/tex]

[tex]P(X = 5) = 0.1662248752[/tex]

[tex]P(X = 5) = 0.166[/tex] Approximated

Answer:

Slope = -2

Step-by-step explanation:

Equation in slope intercept form:

y = -2x + 3

Meaning slope equals -2

Answer: y=x10

Step-by-step explanation:

Answer:

Let's define the variables:

S = # of sweet pepper seeds in the mix pack.

H = # of hot pepper seeds in the mix pack.

Let's suppose that $3.30 is the mean price of the seeds in the mix pack.

Then we have two equations:

S + H = 16.

(S*$2.85 + H*$4.29)/16 = $3.30

Now let's solve this system.

The first step is isolating one variable in one of the equations, i will isolate S in the first equation.

S = 16 - H.

Now we can replace this in the second equation, and solve it for H.

( (16 - H)*$2.85 + H*$4.29)/16 = $3.30

( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80

$45.60 + H*$1.44 = $52.80

H*$1.44 = $52.80 - $45.60 = $7.20

H = $7.20/$1.44 = 5

Then in the mix pack there are 5 hot-pepper seeds.

And the other 11 must be sweet-pepper seeds

Algebraic equations are equations that contain unknown variables.

The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

Let's represent:is

The number of packets of sweet-pepper seeds = s

The number of packets of hot-pepper seeds = h

Based on this question, our system of equations are:

$2.85 x s + $4.29 x h = $3.30(16)

2.85s + 4.29h = 52.8...........Equation 1

s + h = 16...........Equation 2

s = 16 - h

We substitute 16 - h for s in Equation 1

2.85(16 - h) + 4.29h = 52.8

45.6 -2.85h + 4.29h = 52.8

Subtract 45.6 from both sides

45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6

1.44h = 7.2

h = 5

There are 5 hot-pepper seeds in the assortment.

Solving for the number of sweet-pepper seeds.

s = 16 - h

s = 16 - 5

s = 11

There are 11 sweet-pepper seeds in the assortment.

Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

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Answer: 25 packages

Step-by-step explanation: 100x2=200 / 200/8=25

Answer:

100x2 = 200 dinner rolls

200 ÷ 8 = 25 packages

STEP BY STEP EXPLANATION:

drops

Answer:

Step-by-step explanation:

Ok

Answer:

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than  11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.

What is the test statistic ?

What is the -value?

Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of

Answer:

Using the snowflake method, you have to find the factors of 256 that add up to get 32.

The result will look like this:

(g-16)(g-16)

Answer:

[tex](g-16)^2[/tex]

Step-by-step explanation:

[tex]g^2-32g + 256[/tex]

To factor it you should remember that

[tex](a-b)^2 = a^2 -2ab+b^2[/tex]

It is easy to seee that

[tex]32 = 2 \cdot 16[/tex]

and

[tex]256 = 16^2[/tex]

Therefore

[tex]g^2-32g + 256 = g^2 - (2\cdot 16)g+ 16^2 = (g-16)^2[/tex]

Answer:

G. -9/2 o -4.5

Step-by-step explanation:

Answer:

G. -9/2

Step-by-step explanation:

this is the rate of change

Answer:

3x²-1

Step-by-step explanation:

f(x) = x²

g(x) = 3x-1

[g·f](x)

g(f(x))

3(x²)-1

Answer:

2x+8=x-4

Step-by-step explanation:

I think that's right, let me know if it's wrong and I'll delete

Answer:

The answer is 14 students.

Step-by-step explanation:

70% of 20 = 14

Answer:

14 cones

Step-by-step explanation:

20/50=0.4

0.4 times 35=14

Answer:

Point a is correct.

Step-by-step explanation:

hope I helped.

84 I'm sure it's that I did it before

Answer:

take a look ...........

Answer:

1.2in

Step-by-step explanation:

Answer:

(1) 1.2 inches

Answer: a_1 = 15

a_4 = 36

a_n = a_1 + (n - 1)d

36 = 15 + (4 - 1)d

21 = 3d

7 = d

15, 22, 29, 36

Answer:

The inequality is 14 ≤ 8x + 6

Answer:

2,494

Step-by-step explanation:

if he put 2,494pieces together you repeated the same question

Answer:

3 9/20

Step-by-step explanation:

first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.

Answer:

First you order the data from least to greatest

then find the mean

next you Calculate the median of both the lower and upper half of the data

The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

Answer: The answer is A, the y value increases by 1.5 as the x value increases by 1. Therefore A does not describe the graph.