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3 years ago

Which graph shows the solution to this system of inequalities? y < 2x + 4 y > -X -3

Mathematics

1 answer:

Arturiano [62]3 years ago

3 0

Answer:

The answer is Graph X.

Always start by isolating the variable \color{red}y on the left side of the inequality.
Change the inequality to equality symbol.
Graph the boundary line from step 2 in the XY-plane.
The last step is to shade one side or region of the boundary line.

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Simplify (4xy^2)^3(xy)^5 A. 64x^8y^11 B. 64x^15y^30 C. 12x^2y^11 D. 12x^8y^11

saveliy_v [14]

I’ll help u in 5 years

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3 years ago

The equation y = 0.75x + 10 describes the cost, y, of placing an ad with x words in the classified section of a newspaper. How m

poizon [28]

y = cost = $25

25 = 0.75 +10

subtract 10 from each side

15=0.75x

x = 15/0.75 = 20

there were 20 words in the ad

6 0

3 years ago

Use F = (9/5)C + 32 to convert 100°C to Fahrenheit

pshichka [43]

$\huge\fbox{Answer ☘}$

$\bold\blue{°F = ( \frac{9}{5} )°C \: + 32 }\\\\ °F = ( \frac{9}{5} )100° \: + \: 32 \\\\ °F = 9(20)° + 32 \\\\ °F= 180 + 32 \\\\ \bold{°F = 212°}$

hope helpful~

5 0

3 years ago

A. Jenna wants to buy a new tablet computer. Top Quality, an electronics store, is selling them at a 15% discount off the list p

marissa [1.9K]

Answer:

Step-by-step explanation:

Part A

Cost = T - (15/100) * T

Cost = (85/100)*T

Part B

You are asked to take 15% off the cost of something. The first equation is very clear how to do that -- just take 15% of T away from T

The second part is not so obvious if you are not familiar with it, but the result will be the same.

Start with the first equation

Cost = T - (15/100) T Change 1 T to 100 / 100

Cost = 100*T/100T - 15/100T

Cost = 85 /100 * T

Part C

Cost = Phone - 14 at Top quality. Red in Graph below

Cost = 75/100 * Phone at Big value. Blue in Graph belos

The graph below is a good way to answer this. I won't solve it algebraically when the graph will give you a much better idea which phone to get.

Answer: Up to a phone cost of 55 dollars, the red phone is the better buy.

After 55$ the blue phone is better.

Try this with a couple of values for phone,

4 0

3 years ago

Use trig to find the legs of ABC if the base is AC and the height is BC (round to nearest tenth)

umka2103 [35]

Answer:

GIVEN :-

∠A = 15°
Length of AB (hypotenuse) = 60 ft

TO FIND :-

Length of BC
Length of AC
Area of ΔABC

FACTS TO KNOW BEFORE SOLVING :-

$\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}$
$\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}$

SOLUTION :-

In ΔABC ,

$\sin 15 = \frac{BC}{60}$

$=> 0.2588... = \frac{BC}{60}$

$=> BC = (0.2588....) \times 60 = 15.5291.....$ ≈ 15.5 ft

$\cos 15 = \frac{AC}{60}$

$=> 0.9659..... = \frac{AC}{60}$

$=> AC = (0.9659.....) \times 60 = 57.9555.....$ ≈ 58 ft

Area of ΔABC = $\frac{1}{2} \times 58 \times 15.5 = 449.5 \:ft^2$

4 0

3 years ago