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statuscvo [17]
3 years ago
13

What is the y intercept? f(x)=-2^2+4x-6

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

The y intercept is -1

Step-by-step explanation:

the y-intercept is when y = 0

f(0) = -2^2 + 4(0) - 5

f(0) = 4 - 5

f(0) = -1

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2 years ago
Which of the following inequalities can be used to represent a number x that is less than or equal to 8 and greater than –3?
erastovalidia [21]
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7 0
3 years ago
The taxi fare in a city is as follows: For the first kilometer, the
Ksju [112]

Answer:

The linear equation is y = 6 x + 9

The graph is attached down

Step-by-step explanation:

The given information:

The cost of 1st km is 9 Rs

The cost of every kilometer after the first is 6 Rs

x represents the number of km

y represents the total cost of x km

The form of the linear equation is

y = m x + b, where

  • m is the slope of the line (rate of change)
  • b is the y-intercept (initial value)

From the given information above

m = 6 Rs/km

b = 9 Rs

Substitute them in the form of the equation

y = 6 x + 9

The graph:

3 0
3 years ago
Find the area of the region shaded in green. Use 3.14 to approximate pi.
8090 [49]

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

\boxed{area \: of \: circle = \pi {r}^{2} }

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

3 0
3 years ago
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a pers
Arturiano [62]

Answer:

A person who watches 8.5 hours of TV can do 30.4 sit ups.

Step-by-step explanation:

The regression equation is used to predict or estimate the value of the response (or dependent) variables using the information about the explanatory (or predictor) variables.

The general form of a regression equation is:

y=ax+b

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

The regression equation representing the relationship between hours of TV watched per day (<em>x</em>) and number of sit ups a person can do (<em>y</em>) is:

y=-0.74x+36.359

Compute the number of sit ups a person who watches 8.5 hours of TV can do as follows:

y=-0.74x+36.359

  =(-0.74\times 8.5)+36.359\\=-6.29+36.659\\=30.369\\\approx 30.4

Thus, a person who watches 8.5 hours of TV can do 30.4 sit ups.

6 0
3 years ago
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