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2 years ago

Please show all work!! this is algebra.

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

8 0

Franco:
3x+2y=19
Caryl:
2x+4y=24

now use elimination

-2(3x+2y=19)
1(2x+4y=24)
=
-6x-4y=-38
2x+4y=24
add them together
which equals -4x=-14
divide both sides by -4
-4x/-4=-14/-4
x=7/2

we found x, so we subsitute it into the the original equation

3x+2y=19
3(7/2)2y=19
2y+21/2=19
-21/2 -21/2
2y=17/2
divide by 2 on both sides
2y/2= 17/2/2
y=17/4

so x= 7/2 and y= 17/4

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nikdorinn [45]

Answer:

In 5 years the product of their ages will be 208

Step-by-step explanation:

The age of two children is 11 and 8 years.

Let's call x the number of years ahead.

We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:

(11+x)(8+x)=208

Operating:

$88+11x+8x+x^2=208$

Simplifying:

$x^2+19x-120=0$

Factoring:

(x-5)(x+24)=0

Solving:

x=5, x=-24

The negative solution is not valid, thus x=5

In 5 years the product of their ages will be 208

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3 years ago

If h(x) = -2x - 10, find h(-4)

Lady bird [3.3K]

$- 2( - 4) - 10 \\ 8 - 10 \\ = - 2$

7 0

3 years ago

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The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce s

Cerrena [4.2K]

Answer:

Step-by-step explanation:

This is a hypothesis testing of single mean with population mean.

$H_0: x bar =423\\H_a: x bar >423$

(One tailed test)

Sample mean = 460.4 and n = 36 and s = 101.9 oz

Alpha = 0.05

Mean diff = 37.4 and std error = 101.9/sqrt 36 = 16.98

Test statistic t = mean diff/se = 2.20

p = 0.01725

Since p <0.05 reject H0.

There is evidence to show that the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters

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3 years ago

I'm doing something wrong and I don't know what

never [62]

Answer:

Step-by-step explanation:

It should be pi (1.5^2)3/3

or (3.14)(1.5^2)(1)

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3 years ago

Use Remainder Theorem to determine if x-2 is a factor of the polynomial f(x)=3x^5 - 7x^3 -

morpeh [17]

Answer:

(x - 2) is not a factor of f(x) = 3x^5 - 7x^3 - 11x^2 + 2

Step-by-step explanation:

According to the Remainder Theorem, when a polynomial f(x) is divided by a term (x - r), then the remainder must be f(r).

So first we will divide f(x) by (x - 2) using long division to get:

(3x^5 - 7x^3 - 11x^2 + 2) / (x - 2)

= 3x^4 + (6x^4 - 7x^3 - 11x^2 + 2) / (x-2)

= 3x^4 + 6x^3 + (5x^3-11x^2+2) / (x - 2)

= 3x^4 + 6x^3 + 5x^2 (-x^2 + 2) / (x - 2)

= 3x^4 + 6x^3 + 5x^2 -x -2 - (2) / (x -2)

= $\frac{-2 + 3x^{5} - 7x^{3} - 11x^{2} + 2x}{x - 2} - 2$

Therefore the remainder is -2.

Now check x = 2 for 3x^5 - 7x^3 - 11x^2 + 2:

3(2)^5 - 7(2)^3 - 11(2)^2 + 2 = -2

The Remainder Factor theorem also states that if (x - r) is a factor of f(x) then f(r) must be 0.

So we found that f(2) = -2, therfore (x - 2) is not a factor of f(x) .

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4 years ago

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