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4 years ago

3 (2x+4)>4x+10halp plz

2 answers:

Nookie1986 [14]4 years ago

6 0

<span>3 (2x+4)>4x+10
Use distributive property(Multiply 3 by 2x and 4)
6x + 12>4x + 10
Subtract 4x from both sides so that the variable x is only on one side of the equation.
2x + 12>10
Subtract 12 from both sides
2x> -2
Divide 2 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x> -1</span>

Svetllana [295]4 years ago

4 0

3 (2x + 4) > 4x + 10 Use the Distributive Property
6x + 12 > 4x + 10 Subtract 4x from both sides
2x + 12 > 10 Subtract 12 from both sides
2x > -2 Divide both sides by 2
x > -1

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Toxaphene is an insecticide that has been identified as a pollutant in the Great Lakes ecosystem. To investigate the effect of t

Likurg_2 [28]

Answer:

This data suggest that there is more variability in low-dose weight gains than in control weight gains.

Step-by-step explanation:

Let $\sigma_{1}^{2}$ be the variance for the population of weight gains for rats given a low dose, and $\sigma_{2}^{2}$ the variance for the population of weight gains for control rats whose diet did not include the insecticide.

We want to test $H_{0}: \sigma_{1}^{2} = \sigma_{2}^{2}$ vs $H_{1}: \sigma_{1}^{2} > \sigma_{2}^{2}$ . We have that the sample standard deviation for $n_{2} = 22$ female control rats was $s_{2} = 28$ g and for $n_{1} = 18$ female low-dose rats was $s_{1} = 51$ g. So, we have observed the value

$F = \frac{s_{1}^{2}}{s_{2}^{2}} = \frac{(51)^{2}}{(28)^{2}} = 3.3176$ which comes from a F distribution with $n_{1} - 1 = 18 - 1 = 17$ degrees of freedom (numerator) and $n_{2} - 1 = 22 - 1 = 21$ degrees of freedom (denominator).

As we want carry out a test of hypothesis at the significance level of 0.05, we should find the 95th quantile of the F distribution with 17 and 21 degrees of freedom, this value is 2.1389. The rejection region is given by {F > 2.1389}, because the observed value is 3.3176 > 2.1389, we reject the null hypothesis. So, this data suggest that there is more variability in low-dose weight gains than in control weight gains.

8 0

3 years ago

What is the answer? Need help asap! The answer isn’t 13.9 btw. 20 points!

KIM [24]

Answer:

y = 12

Step-by-step explanation:

Looking at the large triangle

tan 30 = opposite / adjacent

tan 30 = 4 sqrt(3)/ y

Multiply each side by y

y tan 30 = 4 sqrt (3)

We know tan 30 = sqrt(3)/3

y * sqrt(3)/3 = 4 sqrt(3)

Multiply each side by 3/ sqrt(3) to isolate y

y * sqrt(3)/3 * 3/ sqrt(3) = 4 sqrt(3) * 3 /sqrt(3)

y = 12

7 0

3 years ago

Read 2 more answers

F(x)=x-14 and g(x)=x^2+14, find (fog)(x)

tatuchka [14]

Answer:

(fog)(x) = x^2

Step-by-step explanation:

Here g(x) = x^2 + 14 becomes the input to f(x):

(fog)(x) = [x^2 + 14] - 14

(fog)(x) = x^2 (answer)

4 0

4 years ago

Help me find the answer

elixir [45]

Answer:

y = - $\frac{1}{4}$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

m = $\frac{-4+3}{4-0}$ = - $\frac{1}{4}$

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - $\frac{1}{4}$ x - 3 ← equation of line

4 0

3 years ago

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = – 3. The y-intercer

grigory [225]

9514 1404 393

Answer:

P(x) = -1/2(x -3)²(x +3)

Step-by-step explanation:

When q is a root of the polynomial, (x-q) is a factor. This polynomial will be ...

P(x) = a(x -3)²(x +3)

For x=0, the y-intercept will be ...

P(0) = 27a = -13.5

Then the value of a is ...

a = -13.5/27 = -1/2

The formula for P(x) is ...

P(x) = -1/2(x -3)²(x +3) . . . . . . factored form

P(x) = -0.5x³ +1.5x² +4.5x -13.5 . . . . standard form

6 0

3 years ago