One number is seven less than six times another number. If the sum of the numbers is 56, find the numbers.

Answer:

SWE

Step-by-step explanation:

We want to find a polynomial given that we know its roots and a point on the graph.

We will find the polynomial:

p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x

We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:

p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)

Here we know that the roots are:

Then the roots are: {1, 1, 0, -2}

We can write the polynomial as:

p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))

p(x) = a*(x - 1)*(x - 1)*(x + 2)*x

We also know that this polynomial goes through the point (5, 336).

This means that:

p(5) = 336

Then we can solve:

336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5

336 = a*(4)*(4)*(7)*5

336 = a*560

366/560 = a = 183/280

Then the polynomial is:

p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x

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Answer:

6 is greater than -7.

-7 has the greater absolute value.

Step-by-step explanation:

Any number that is not negative is going to be greater than any number that is negative. So 6 is greater than -7. But with absolute value it's a little bit different. You can just think about it in terms of distance. Whichever number is further from zero is going to have the greater absolute value whether it's negative or not.

Answer: 6, 18

Step-by-step explanation:

a. actual width/scaled width = 9/1.5 = 6

b. scaled width*scale factor = 3*6 = 18

Answer:

Find 9% of 250 by turning 9% into a decimal.

.09 x 250 gives you 22.50

add 22.50 to 250

now you have 272.50

now find 10% of 272.50 by converting 10% into a decimal.

.10 x 272.50 gives you 27.25

Add that to 272.50 and you total cost is

$299.75

Answer:

x=6

y=9 so it is the answer....

The values in the table represent a linear function.

The correct option is; Yes; The rate of change = 3/2

A linear function is a function forms a straight line when plotted on the coordinate plane.

The values in the table represent a linear function, where we get;

The first difference is constant

The subsequent x-values increase by the same value

The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant

The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3

The first difference is a constant, 3, therefore, the values in the table represent a linear function.

The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;

The rate of change = 3/2

The correct option is therefore; Yes, rate of change = 3/2

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Answer:

the answer is b.6

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Answer:

Step-by-step explanation:

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that I win the first prize and my mom wins the second prize would be 8/720

Answer:

Tuna = 39 pounds

Red Snapper 13 pounds

Sailfish = 156 pounds

Step-by-step explanation:

T = 3x

RS = x

S = 12x

3x + x + 12x = 208

16x = 208

x = 208/16

x = 13

Tuna = 3(13)=39

Red Snapper = 13

Sailfish = (12)(13) = 156

that's what it's graph looks like.

Step-by-step explanation:

[tex] |2w + 8| \geqslant 15[/tex]

[tex] \implies \mathsf{2w + 8 \geqslant 15 \: }\\ \mathsf{or }\\ \mathsf{ \: 2w + 8 \leqslant - 15}[/tex]

(that's a property, if |x| >= a

=> x >= a or x <= -a)

[tex] \implies \mathsf{2w \geqslant 15 - 8\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant - 15 - 8}[/tex]

[tex]\implies \mathsf{2w \geqslant 7\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant -23}[/tex]

[tex]\implies \mathsf{w \geqslant \frac{7}{2} \: }\\ \mathsf{or }\\ \mathsf{ \: w \leqslant \frac{ - 23}{2} }[/tex]

The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

It is given that:

The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:

p(x) = 2,400(1.025)×

Plug x = 3 years in the above function.

P(3) = 2400(1.025)³

P(3) = 2400x1.0768

P(3) = 2584.53 ≈ 2584 people

Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.

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Answer:

Showing results for The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a the point (3, "-6)." An equation of the tangent line to the curve at the point (3, "-6)" is

Search instead for The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a the point (3, -6). An equation of the tangent line to the curve at the point (3, -6) is

Step-by-step explanation:

Step By Step explanation is up you can see.

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Answer:

x-3y=-6

Step-by-step explanation:

-3 1 3 3

Slope= (3-1)/(3--3)=2/6=1/3

y-intercept=2

y=mx+c

y=1/3 x+2

3y=x+6

x-3y=-6

Answer:

D

Step-by-step explanation:

It's between C and D.

3x^2 - 7x^2 = - 4x^2

- 4x^2 + 5x - 28 is the answer so it is D.

Answer:

( 3 x 3 x 3 ) and ( 3 x 3 x 5 )  The GCF of 27 and 45 is 3 x 3 = 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Prime factorization of 27 and 45 is (3 × 3 × 3) and (3 × 3 × 5) respectively. As visible, 27 and 45 have common prime factors. So, the GCF of 27 and 45 is 3 × 3 = 9.

The average rate of growth of the ice can be found by dividing the thickness by the number of days of growth

The growth rate of the ice over the 8 days is 0.375 inches/day

Reason:

The known information on the ice are;

The time it took the ice to reach a thickness of 3 inches = 8 days

Required:

The (average) rate that the ice is growing in c=inches per day

Solution:

[tex]Rate \ of \ growth \ of \ ice= \dfrac{Increase \ in \ thickness}{ Time} = \dfrac{\Delta \ Thickness}{\Delta T}[/tex]

Therefore;

[tex]Rate \ of \ growth \ of \ ice= \dfrac{3 \ inches}{ 8 \ days} = 0.375 \ inches/day[/tex]

The (average) rate of growth of the ice over the 8 days is 0.375 inches per day

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Answer:

Step-by-step explanation:

sure what grade are you in

Answer:

2 / 6 = 0.3333...

4 / 6 = 0.6666...

5 / 6 = 0.83333...

Step-by-step explanation:

Answer: there you go

Step-by-step explanation:

2/6 = 0.3

4/6 = 0.6

5/6 = 0.83

Answer:

Sorry is there any more information i will then change answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

167°

Step-by-step explanation:

x = 167°