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Effectus [21]
3 years ago
7

ANSWER ASAP

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0
Y=mx+b
m=0.5
b is value of y in y-intercept, b=-2

The equation of this line is
y=0.5x-2

When x=4
y=0.5x-2=y=0.5*4-2=2-2 = 0
When x=4, y=0.

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A 12- foot ladder that is leaning against a wall makes a 75.5 degree angle with the level ground
viktelen [127]

Answer:option C is the correct answer.

Step-by-step explanation:

When the ladder leans against the wall, it forms a right angle triangle with the wall. The length of the ladder becomes the hypotenuse of the right angle triangle.

Since the length of the ladder is 12 foot, then

Hypotenuse = 12 foot

The angle formed by the ladder with the ground is 75.5 degrees. Therefore, the height, y which is the distance from the point where the ladder touches the wall to the foot of the wall becomes the opposite side. It would be determined by applying trigonometric ratio

Sin θ = opposite side/hypotenuse

Sin 75.5 = y/12

6 0
3 years ago
The average number of traffic tickets issued in a city on any given day
Anton [14]

Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day  Sunday-Saturday  can be approximated by

T(x) = -6x^2 + 84x + 37

Where  x represents the number of days after Sunday

T(x) represents the number of traffic tickets issued.

Sunday = x=0

Monday = x=1

Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

Saturday = x=6

Substitute  x= 0

T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37

On Sunday 37 tickets were issued

Substitute  x= 1

T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115

On Monday 115 tickets were issued

Substitute  x= 2

T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181

On Tuesday 181 tickets were issued

Substitute  x= 3

T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235

On Wednesday 235 tickets were issued

Substitute  x= 4

T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277

On Thursday 277 tickets were issued

Substitute  x= 5

T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307

On Friday 307 tickets were issued

Substitute  x= 6

T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

6 0
3 years ago
Solve the following system:<br> y=1<br> y=-6x-5
Mandarinka [93]

Answer:

x = -1

y = 1

Step-by-step explanation:

<u><em>Since it gives you "y", plug in the number given into the equation:</em></u>

y = -6x - 5

1 = -6x - 5

<u><em>Then, add 5 to both sides:</em></u>

1 = -6x - 5

+5       + 5

________

6 = -6x

<em><u>Divide both sides by -6:</u></em>

6 = -6x

-1 = x

So now you have, x = -1 and y = 1

4 0
3 years ago
Read 2 more answers
Find f( -7) if f(x) = 3 - 2x. <br> Which relation describes a function?
Dahasolnce [82]

Answer:

The answer is 17

A function is a relation in which each possible input value leads to exactly one output value. For example, we say “the output is a function of the input.”

Step-by-step explanation:

f(-7)=3-2x

3-2(-7)

3 - -14= 17

4 0
3 years ago
On a number line, 9.7 would be located where? Choose all answers that make a true statement
RideAnS [48]

Answer:

Step-by-stepapex answer to the left of 9.9 and to the right of 9.3 explanation:

6 0
3 years ago
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