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3 years ago

Graph the solution of y – 2 > 1 on a number line.

Mathematics

1 answer:

Hunter-Best [27]3 years ago

5 0

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How many solutions does this

ira [324]

Erm- can’t answer this. We need the graph

3 0

3 years ago

Find the area between y=(x-2)ex and the x-axis from x=2 to x=4.

mojhsa [17]

Answer:

$e^4+e^2$

Step-by-step explanation:

It can be found by integral.

First let's find the intersection points.

$(x-2)e^x = 0$

Only intersection point is x = 2.

And it is asked to find the area in the interval (2, 4).

$\int\limits^4_2 (x-2)e^x \,dx=?$

We will use integration by parts.

$x-2=u\\dx=du\\e^xdx=dv\\e^x=v$

$\int\limits^4_2 (x-2)e^x \,dx=uv-\int vdu=(x-2)e^x-\int e^xdx=(x-2)e^x-e^x=\\\\=(x-3)e^x|^4_2=(4-3)e^4-(2-3)e^2=e^4+e^2$

3 0

3 years ago

Triangle ABC has vertices A (1,1), B (3,2) and C (0,-2), It is dilated by a scale factor of 1/2 about the origin to create trian

Ghella [55]

Answer:

The length is 2.5 units

Step-by-step explanation:

Before we find the value of the length of the side, we need the measure of the coordinates after dilation

B’ = 1/2 B = 1/2(3,2) = (1.5, 1)

C’ = 1/2 C = 1/2( 0,-2) = (0,-1)

The measure of the length is the distance between the two points

Mathematically, that would be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(0-1.5)^2 + (-1-1)^2

D = √(2.25 + 4)

D = √6.25

D = 2.5 units

8 0

2 years ago

Evaluate the expression 4 1/2 ÷ 3/4

Darya [45]

Answer: 6

Step-by-step explanation:

7 0

2 years ago

ronaldo delivers the papers at the rate of 6 papers in 24 minutes. how much longer would it take him to deliver 56 papers than 4

UkoKoshka [18]

We are given

Ronaldo delivers the papers at the rate of 6 papers in 24 minutes

so, number of papers =6 in time =24 minutes

so, firstly we can find rate

rate = ( number of papers)/( time taken)

$r=\frac{6}{24} =\frac{1}{4}$

now, we can find times

Time for 56 papers:

we are given

number of papers =56

rate is

$r=\frac{1}{4}$

now, we can find time

$t_1=\frac{56}{r}$

$t_1=\frac{56}{\frac{1}{4}}$

$t_1=224min$

Time for 41 papers:

we are given

number of papers =41

rate is

$r=\frac{1}{4}$

now, we can find time

$t_2=\frac{41}{r}$

$t_2=\frac{41}{\frac{1}{4}}$

$t_2=164min$

now, we can find time difference

$t=t_1-t_2$

so, we can plug values

$t=224-164$

$t=60 min$ ..............Answer

8 0

3 years ago

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