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3 years ago

5x-3y=12 what is the x-intercept

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

3 0

Your x-intercept is (12/5,0) and your y-intercept is (0,-4)

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Wrestling coach is entering his team in a tournament there is a $75 fee for each team entered plus a five dollar fee for each wr

Olegator [25]

Answer:

188 wrestlers

Step-by-step explanation:

Given

$F =5w + 75$

$F = 1013$

Required

Determine the number of wrestlers (w)

We have:

$F =5w + 75$

Substitute: $F = 1013$

$1013 = 5w + 75$

Collect like terms

$5w = 1013 - 75$

$5w = 938$

Divide both sides by 5

$w = 187.6$

Round up to get the number of wrestlers

$w = 188$

5 0

3 years ago

The length of the hypotenuse is:<br> 0.<br> 1.<br> 2.<br> 4.

photoshop1234 [79]

divide the base by the sin of the opposite angle

base = 2

opposite angle = 30 degrees

2/sin(30) = 4

x = 4

7 0

3 years ago

A small airplane takes off from point A and continues to climb upward in a straight line, as shown in the diagram. What is the p

harkovskaia [24]

<h3>Answer: Choice D. 12,600 feet</h3>

============================================================

Explanation:

We have two similar triangles here, so we can set up the proportion below to solve for x

5200/(5200+6500) = 5600/x

5200/11700 = 5600/x

5200x = 11700*5600 .... cross multiply

5200x = 65,520,000

x = (65,520,000)/(5200)

x = 12,600 which shows why the answer is choice D

side note: 12,600 ft = 2.386 miles approximately

6 0

3 years ago

The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What

My name is Ann [436]

Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

$M(x)=13x-x^2$ .... (1)

where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.

We need to find the rainfall that produces the maximum number of mosquitoes.

Differential the above function with respect to x.

$M'(x)=13-2x$ .... (2)

Equate first derivative equal to 0.

$13-2x=0$

$2x=13$

$x=\frac{13}{2}=6.5$

Differential function (2) with respect to x.

$M''(x)=-2$

Double derivative is negative. So, the value of function is maximum at x=6.5.

Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.

4 0

3 years ago

PLEASE HELP!!!!!!

Reika [66]

Answer:

x=6

Step-by-step explanation:

5x^2-136=44

add 136 to both sides

5x^2=180

divide both sides by 5

x^2= 36

take square root of both sides

x=6

5 0

3 years ago

Read 2 more answers