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defon
3 years ago
8

(-4,2) is a solution to the following graph. True or False?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0
Plugging in the values of (-4,2) into the two inequality statements to see whether it is part of the solution to the inequality system:

y ≥ -5x + 3
2 ≥ -5(-4) + 3
2 ≥ 20 + 3
2 ≥ 23 (false statement).

For the other inequality statement, substitute 2 for the y value:

y > -2
2 > -2 (true statement).

Since (-4,2) only satisfies one of the inequality statements, then it means that it is not a solution to the graph.

Therefore, the correct answer is FALSE.

Please mark my answers as the Brainliest if you find my explanation helpful :)
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A small pizza at Little Italy pizzeria costs $9.25, and each topping is an additional $0.50. So the cost of ordering a pizza can
Vera_Pavlovna [14]

Answer:

Graph the equation is shown below.

Step-by-step explanation:

The linear equation representing the relation between cost of ordering a pizza and the number of additional toppings is:

y=0.50x+9.25

Here,

<em>y </em>= cost of the pizza

<em>x</em> = number of toppings

The graph of the linear equation is shown below.

Consider the point (2, 10.25).

When <em>x</em> = 2 compute the value of <em>y</em> as follows:

y=0.50x+9.25\\=(0.50\times 2)+9.25\\=10.25

The point (2, 10.25) satisfies the equation.

Again consider a point (18, 18.25).

When <em>x</em> = 18 compute the value of <em>y</em> as follows:

y=0.50x+9.25\\=(0.50\times 18)+9.25\\=18.25

The point (18, 18.25) satisfies the equation.

The two points are also plotted on the graph.

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3 years ago
I HAVE 5 MINUTES PLZ HELP! <br> (Multiple choice)
Gemiola [76]

Answer:

i think its B or A

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Cx=r/d<img src="https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bd%7D" id="TexFormula1" title="\frac{r}{d}" alt="\frac{r}{d}" align="abs
antoniya [11.8K]

Answer:

x=\frac{rc}{d}

Step-by-step explanation:

ill take the equation as this

cx=\frac{r}{d}

divide both side by c

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}

Next time when you see someone greif your question, please report it.

Shame for the other guy

Hoped this helped you

Red

8 0
3 years ago
Ez pts
Kobotan [32]

Answer:

well first 312 in radical form is  √312 and that simplified is 2√78 or 17.66352173

Step-by-step explanation:

3 0
3 years ago
Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat. Because most of the body’s
irakobra [83]

Answer:

No, because the 95% confidence interval contains the hypothesized value of zero.

Step-by-step explanation:

Hello!

You have the information regarding two calcium supplements.

X₁: Calcium content of supplement 1

n₁= 12

X[bar]₁= 1000mg

S₁= 23 mg

X₂: Calcium content of supplement 2

n₂= 15

X[bar]₂= 1016mg

S₂= 24mg

It is known that X₁~N(μ₁; σ²₁), X₂~N(μ₂;δ²₂) and σ²₁=δ²₂=?

The claim is that both supplements have the same average calcium content:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.05

The confidence level and significance level are to be complementary, so if 1 - α: 0.95 then α:0.05

since these are two independent samples from normal populations and the population variances are equal, you have to use a pooled variance t-test to construct the interval:

[(X[bar]₁-X[bar]₂) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

t_{n_1+n_2-2;1-/2}= t_{25;0.975}= 2.060

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} }= \sqrt{\frac{11*529+14*576}{12+15-2} } = 23.57

[(1000-1016)±2.060*23.57*\sqrt{\frac{1}{12} +\frac{1}{15} }]

[-34.80;2.80] mg

The 95% CI contains the value under the null hypothesis: "zero", so the decision is to not reject the null hypothesis. Then using a 5% significance level you can conclude that there is no difference between the average calcium content of supplements 1 and 2.

I hope it helps!

3 0
3 years ago
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