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sleet_krkn [62]
3 years ago
13

Different rose bushes are grown in a g reenhouse for two months. The number of flowers on each bush is counted at the end of the

experiment
. 1. Independent Variable ________________________________________________________________________________
2. Dependent Variable ________________________________ ________________________________________________
3. Control Variable ________________________________________________________________________________
Mathematics
1 answer:
Oliga [24]3 years ago
3 0
1. Rose bushes
2. Number of flowers on each bush
3. None, unless there is an original rose bush they used before the experiment
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Find the value of c so that (x-5) is a factor of the polynomial p(x)
liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

p(x) = x^3 + 2x^2 + cx + 10

The other factor is going to be some quadratic.  We can say a few things about its coefficients but let's start by saying in general it's

q(x)= ax^2 + bx + k

p(x) = (x-5)q(x)

x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k

Equating respective coefficients,

a=1

b-5a = 2

k - 5b = c

-5k = 10

so we get

b = 2 + 5 = 7

k = 10/-5 = -2

c = k - 5b = 2 - 5(7)= -37

Answer: -37

Check:

(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark




7 0
3 years ago
The probability that Latisha orders french fries at lunch is .32 and the probability that she orders a grilled cheese and fries
EastWind [94]

There is a typo error in the last part of the question. The corrected part is-

"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"

Answer:

The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>

Step-by-step explanation:

Given:

Probability of ordering fries is, P(F)=0.32

Probability of ordering cheese sandwich is, P(S)=0.76

Probability of ordering both sandwich and fries is, P(F\cap S)=0.65

Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as P(F\cup S).

Now, using addition theorem of probability, we get:

P(F\cup S)=P(F)+P(S)-P(F\cap S)\\P(F\cup S)=0.32+0.76-0.65\\P(F\cup S)=0.43

Therefore, probability of ordering cheese sandwich or fries is 0.43.

8 0
3 years ago
Which equation best represents the line that is parallel to 3x -4y=7 and passes through the point (-4,-2)? Select two options.
katovenus [111]

Answer:

The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2)  is y = 3/4x + 1.

Step-by-step explanation:

3x - 4y = 7 and (-4, -2)

First, solve for y in the equation:

3x - 4y = 7

-4y = -3x + 7

4y = 3x - 7

y = 3/4x - 7/4

m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)

Use the point-slope equation to find the equation that will best represent a parallel line:

y − y1 = m(x − x1)

y - -2 = 3/4(x - -4)

y + 2 = 3/4x + 3 (the 4s cancel out)

(3/4 x 4/1 = 3)

y = 3/4x + 1

The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!

6 0
3 years ago
2*10⁴-7³ please help​
melisa1 [442]

Answer:

19657

Step-by-step explanation:

By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³

2*10⁴ = 20000

20000 - 7³ = 19657

This is the third time I've seen this question. Are you posting this question again and again?

7 0
3 years ago
Find the sun of the interior angles for each polygon
sergeinik [125]

Answer:

360

1080

Step-by-step explanation:

We can find the sum of the interior angles of any regular polygon by using this formula

(n - 2) * 180

where n = number of sides

For the square: the square has 4 sides

To find the sum of the interior angles we simply substitute 4 for n in the formula

Formula: (n - 2) * 180

Substitute 4 for n

(4 - 2 ) * 180

Subtract 4-2

2 * 180

Multiply

= 360

The sum of the interior angles of the first polygon is 360

For the second one:

We will repeat this exact process the only difference is the value of "n"

The polygon shown has 8 sides

So to find the sum of the interior angles we simply substitute 8 for n in The formula

Formula (n - 2) * 180

Substitute 8 for n

(8 - 2) * 180

Subtract 8 - 2

6 * 180

Multiply

= 1080

The interior angles of a 8 sided figure will add up to 1080

7 0
3 years ago
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