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nikdorinn [45]
3 years ago
9

Write a linear Write a linear function f with f(−9)=10 and f(−1)=−2.function f with f(−9)=10 and f(−1)=−2.

Mathematics
1 answer:
MissTica3 years ago
5 0

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have

f(-9) = 10 → (-9, 10)

f(-1) = -2 → (-1, -2)

Substitute:

m=\dfrac{-2-10}{-1-(-9)}=\dfrac{-12}{8}=-\dfrac{3}{2}=-1.5\\\\y-10=-1.5(x-(-9))\\\\y-10=-1.5(x+9)\qquad|\text{use distributive property}\\\\y-10=-1.5x-13.5\qquad|+10\\\\y=-1.5x-3.5

<h3>Answer: f(x) = -1.5x - 3.5</h3>
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Svetach [21]

Answer:

66/54

Step-by-step explanation:

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2 years ago
If f(x) = 4x + 3x2 + 1, then what is the remainder when f(x)<br> is divided by X -2?
Bezzdna [24]

Answer:

remainder = 21

Step-by-step explanation:

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) is divided by (x - 2) with h = 2 , then remainder is

f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21

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3 years ago
I need help with premetier and area for 7 8 9
SCORPION-xisa [38]

The answers to the three shapes are:

Figure 7; perimeter = 16.2mm, area = 12.64 square mm

Figure 8; perimeter = 15.2inches, area = 9.61 square inches

Figure 9; perimeter = 21.47yards,  area = 16.81 square yards

<h3>What is the perimeter of a shape?</h3>

Perimeter is the outside boundary of a plane shape.

Analysis:

for figure 7, perimeter = s + s + s = 3s = 3(5.4) = 16.2mm

                   Height of triangle = \sqrt{((5.4)^{2} - (2.7)^{2}  } = 4.68

            Area of triangle = 1/2 base x height = 1/2 x 5.4 x 4.68 = 12.64mm^{2}

For figure 8, perimeter = b + b + a = 5.9 + 5.9 + 3.4 = 15.2 inches

                     Height of triangle = \sqrt{(5.9)^{2}  - (1.7)^{2} } = 5.65inches

           Area of triangle = 1/2 base x height = 1/2 x 3.4 x 5.65 = 9.61inches^{2}

For figure 9, perimeter = b + a + c = 8.2 + 4.1 + 9.17 = 21.47yards

           Area of triangle = 1/2 x base x height = 1/2 x 8.2 x 4.1 = 16.81yards^{2}

In conclusion, the perimeter and area of the given shapes are:

Figure 7; perimeter = 16.2mm, area = 12.64 square mm

Figure 8; perimeter = 15.2inches, area = 9.61 square inches

Figure 9; perimeter = 21.47yards,  area = 16.81 square yards

Learn more about perimeter of plane shapes: brainly.com/question/2569205

#SPJ1

5 0
2 years ago
In a group of 50 people 28% of them has flue shots done. What is the probability to choose from this group 15 people that didn't
aliina [53]

Answer:

0.0025 = 0.25%

Step-by-step explanation:

First we need to find how many people don't have flue shots.

28% of 50 is equal to 0.28 * 50 = 14 people.

If 14 people have flue shots, we have 50 - 14 = 36 people that don't have flue shots.

Now, to solve this problem, the probability will be the cases where  we have a group of people that don't have flue shots (that is, a combination of 36 choose 15) over the total cases (combination of 50 choose 15):

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3 years ago
Draw an obtuse angle big. place a point p inside the angle. now construct perpendiculars from the point to both sides of the ang
never [62]

I have drawn three obtuse angles showing three different positions.

then taken a point p inside it.

Now to draw perpendicular from a point to a given line

we draw a line parallel fom that point to that given line.

After that from that point we draw perpendicular to that line.

Now the question arises which side is closer to point p ,

The answer is if length of perpendicular from p to the line is longer that side is farther from the point p , and if the length of perpendicular is shorter then that that line is nearer to point P.

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3 years ago
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