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2 years ago

7

letter H represent marks height in inches Suzanne is 7 in shorter than Mark write an algebraic expression that represents Susan'

s height in inches

1 answer:

KATRIN_1 [288]2 years ago

8 0

Answer:

H-7=Suzanne

Step-by-step explanation:

Mark's height is H, if Suzanne is 7 less than Mark, that means Suzanne is H-7

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Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. Enter the solution with the smaller x value first.

pochemuha

X+y+5=0
y=-x-5
If a solution exists y=y so we can say
x^2-9x+10=-x-5 add x+5 to both sides
x^2-8x+15=0 now factor
x^2-3x-5x+15=0
x(x-3)-5(x-3)
(x-5)(x-3) so x=3 and 5, using y=-x-5
y(3)=-8 and y(5)=-10
So the two solutions are:
(3,-8) and (5,-10)

7 0

4 years ago

Read 2 more answers

I need help on question number 26

klemol [59]

12 2/4s double check it

4 0

3 years ago

Use the table to determine the degree of the power function.

valkas [14]

9514 1404 393

Answer:

3

Step-by-step explanation:

The x-values in the table are evenly-spaced, so we can determine the degree of the function by looking at successive differences of the f(x) terms.

f(x): -23, -4, 3, 4, 5, 12, 31

first differences: 19, 7, 1, 1, 7, 19

second differences: -12, -6, 0, 6, 12

third differences: 6, 6, 6, 6

The third differences are constant, so the function values can be matched by a <em>third degree</em> polynomial.

_____

<em>Additional comment</em>

The first differences are found by subtracting the function value from the next one. Likewise, the second differences are found by subtracting each first-difference value from the next one. An so on for the third differences.

The level at which the differences are constant is the degree of the polynomial that will match the function values. (Compare this to what you know about an arithmetic sequence, where first differences are constant and the sequence is described by a linear (degree 1) equation.)

5 0

3 years ago

Find S8 for the geometric series 3 + -6 + 12 + -24 +…

kirill115 [55]

I guess you are asking to find the sum of the first 8 terms. If so, then:
Sum = a₁(1-rⁿ)/(1-r), where a₁ is the 1st term, r=common ratio and n=number of terms:
the 1st term a₁ =3
common ratio r = - 2 (since -6/3 = - 2, and 12/-6 = - 2, etc.)

Sum = 3[(1- (-2)⁸]/(1-2) = 3(1- 256)/(1/2)
Sum = -1530

6 0

3 years ago

4.8.4 Raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material i

forsale [732]

Answer:

700 lbs and 3.742

Step-by-step explanation:

Given that raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.02 particle per pound.

a) To get 14 particles of contamination we must have

expected number of pounds = $\frac{14}{0.02} \\=700$

b) Since for 700 pounds particles expected are 14 we can say in a Poisson distribution mean and variance are equal

i.e. Var (700 lbs to obtain 14 particles of contamination ) = 14

Std deviation = $\sqrt{14} =3.742$

5 0

3 years ago