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3 years ago

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Mathematics

1 answer:

Alenkasestr [34]3 years ago

7 0

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Enter an inequality that represents the graph in the box.

ANTONII [103]

The inequality that represents the graph in the box is

$y>-3x+6$

Given :

The graph of the linear inequality

Lets pick two points from the graph to frame the linear equation

Slope intercept form of the equation is

$y=mx+b$

Where m is the slope and b is the y intercept

y intercept is (0,6) from the graph

so b=6

Now we find out slope m using formula

Pick two points (0,6) and (2,0)

$slope = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{0-6}{2-0} =-3$

m=-3

So the equation is $y=-3x+6$

Now we check the inequality sign by testing any point on shaded area

lets pick (4,0)

lets plug in 4 for x and 0 for y

$y=-3x+6\\0=-3(4)+6\\\\0=-6\\0>-6$

The inequality for the given graph is

$y>-3x+6$

we cannot use >= sign because we have dotted lines

Learn more : brainly.com/question/17203372

5 0

3 years ago

QUESTION IN PHOTO, HELP ASAP

Luba_88 [7]

I don’t get the question? What are you trying to find?

6 0

2 years ago

Find the surface area of composite figure. Please help

Ivan

Answer:

The surface area of the composite figure is $410\ m^{2}$

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the surface area of the rectangular prism of the bottom plus the lateral area o the rectangular prism of the top

Step 1

Find the surface area of the rectangular prism of the bottom

The surface area is equal to

$SA=2B+Ph$

Find the area of the base B

$B=10*10=100\ m^{2}$

$P=4*10=40\ m$

$h=3\ m$

substitute

$SA=2(100)+40(3)=320\ m^{2}$

Step 2

Find the lateral area of the rectangular prism of the top

The lateral area is equal to

$LA=Ph$

$P=2*(4+5)=18\ m$

$h=5\ m$

substitute

$LA=18(5)=90\ m^{2}$

Step 3

Find the surface area of the composite figure

$320\ m^{2}+90\ m^{2}=410\ m^{2}$

8 0

3 years ago

6) Jesse is buying a home for $450,000 at 7.8% interest and Jesse is putting 30% down? He wishes to buy 3 points what is the cos

krek1111 [17]

Answer:

$9450

Step-by-step explanation:

Given that:

The price of the home = $450000

The interest = 7.8%

Down payment = 30% of price of the home

i.e 0.3 × 450000 = 135000

The principal outstanding balance = 450000 - 135000

= 315000

Finally, the cost of 3 points will be;

$= 315000 \times \dfrac{3}{100}$

= $9450

3 0

3 years ago

7. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The T

Anit [1.1K]

Answer:

Modification has not reduced the number of accidents.

Step-by-step explanation:

$H_0: \mu\geq0\\H_a:\mu$

A B C D E F G H

Before modification 5 7 6 4 8 9 8 10

After modification 3 7 7 0 4 6 8 2

Difference -2 0 1 -4 -4 -3 0 -8

Mean of differences $M_d = \frac{sum}{8}=\frac{2+0-1+4+4+3-0+8}{8}=2.5$

Standard deviation of differences = $\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=2.9277$

Formula of paired t test :

$t=\frac{M_d}{\frac{s}{\sqrt{n}}}\\t=\frac{2.5}{\frac{2.9277}{\sqrt{8}}}\\t = 2.4152$

Df = n-1 = 8-1 =7

$t critical = t_{(df, \alpha)}=t_{7,0.01}=2.998$

t critical> t calculated

So, We failed to reject null hypothesis

Hence modification has not reduced the number of accidents.

6 0

3 years ago