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3 years ago

1. Is the function g(x) increasing or decreasing over the interval -2 < x <-1?

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Answer:

g(x) increasing

h(x) decreasing

Step-by-step explanation:

Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing

Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing

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Simplify the expressions.

emmasim [6.3K]

Answer:

A. 17x B. -18b2+11b

Step-by-step explanation:

10x + 7x = 17x

7-7=0

answer is 17x

-8b2-10b2= -18b2

8b+3b=11b

6-6=0

answer is -18b2+11b

6 0

3 years ago

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What is the scale factor of 3

Wittaler [7]

A scale factor of 3 means that the new shape is three times the size of the original. To calculate the Scale Factor, we use the following: You can get the 'big' and 'small' from the corresponding sides on the figures. So just get your # and multiply it by 3

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3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

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Serrians triangle has a height of 3x-4 and the base length is 8x+4 what is the area of the triangle

kirill115 [55]

Area of a triangle is base × height ÷2
base=8x+4 x=-4/8 x=-1/2
height=3x-4 x=4/3

A=b×h÷2
A=(-1/2×4/3)÷2
A=(-4/6)÷2
A=(-4/6)÷2/1 to divide by fractions flip the second and multiply
A=-4/6×1/2
A=-4/12
A=-1/3

3 0

3 years ago

Traffic along a stretch of road moves at an average speed that varies inversely with the number of cars on it. When there are 15

RSB [31]

Answer:

37.5 miles per hour

Step-by-step explanation:

The traffic along a stretch road moves at an average speed that carried inversely as the number of cars

Average speed= k/number of cars.

When there are 1,500 cars the average speed is 45

The first step is to calculate the constant k

45= k/1500

k = 1,500 × 45

k= 67,500

Therefore the average speed when there are 1,800 cars can be calculated as follows

Average speed= 67,500/1,800

= 37.5 miles per hour

Hence the average speed is 37.5 moles per hour

7 0

3 years ago