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3 years ago

How do I graph the inequality of this equation. y > x + 2

1 answer:

4 0

-- For just a minute, make it an Equality . . . y = x + 2 .

-- Graph the Equality. That graph is a straight line.

-- The INequality says that 'y' is LESS than x+2,
and THAT's everything UNDER the line.
(But not the points on the line itself.)

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Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requ

MAVERICK [17]

Answer:

6 t + 4 p ≤ 150 is the required inequality.

Step-by-step explanation:

Here, the area required for 1 tomato plant = 6 sq ft

So, the area required to plant t tomato plants

= t x ( Area required by 1 tomato plant) = t x ( 6 sq ft) = 6 t

the area required for 1 pepper plant = 4 sq ft

So, the area required to plant p pepper plants

= p x ( Area required by 1 pepper plant) = p x ( 4 sq ft) = 4 p

Now, total area of the garden = 150 Sq ft.

Also, area of p pepper pants + t tomato plants = (6 t + 4 p) sq ft

So, now according to the question:

Total area of both plants ≤ Total area of the garden

⇒ (6 t + 4 p) sq ft ≤ 150 sq ft

or, 6 t + 4 p ≤ 150 is the required inequality.

5 0

3 years ago

The radius of a circle is 2.9 in. Find the circumference to the nearest tenth.

ELEN [110]

Answer:

$\bf \large 20 \: inches$

Step-by-step explanation:

<h2>Given that :</h2>

The radius of a circle is 2.9 in.

Find the circumference to the nearest tenth.

<h2>formulas used :</h2>

circumference = 2 × π × r

where,

π = 22/7
r = 2•9 inches

<h2>explanation :</h2>

⟼ c = 2πr

⟼ c = 2 × 22/7 × 2•9 inches

⟼ c = 2 × 3•14 × 2•9 inches

⟼ c = 6•28 × 2•9 inches

⟼ c = 18•21 inches.

<h2>Round to the nearest tenth :</h2>

⟼ c = 18•21 inches

⟼ c = 20 inches

∴ circle circumference is 20 inches .

3 0

3 years ago

A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s

Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o: \mu = 178$

Alternative hypothesis:

$H_1: \mu \neq 178$

The t-test statistics is determined by using the formula:

$t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}$

$t = \dfrac{-0.5}{\dfrac{2}{5}}}$

$\mathbf{t= -1.25}$

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value = 2.064

Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small

5 0

3 years ago

I need help with this

andrey2020 [161]

18a:16 18b:32 % means out of 100

3 0

3 years ago

3(x+10)=2(2x+16) help please & thank you

andrew-mc [135]

In this question, you have to isolate <em>x</em>.

First, use the distributive property.

$3x+30=4x+32$

Now that you have distributed, subtract the constants.

7 0

3 years ago