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3 years ago

Which of the following inequalities matches the graph? (1 point)

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

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Is 1.68 greater than 1.680

Delicious77 [7]

No they are both equal it would be like 5 being greater than 05

3 0

3 years ago

Find the indicated length.<br> Line WX bisects YZ at point W. Find YZ if WZ=9 5/8

Montano1993 [528]

Given :

Line WX bisects YZ at point W.

$WZ=9\dfrac{5}{8}=\dfrac{77}{5}$ .

To Find :

The length of YZ .

Solution :

Since , the point W bisect YZ .

So , it cuts YZ into two equal parts i.e YW and WZ .

Therefore , YW = WZ

Also , YZ = YW+WZ = 2WZ

$YZ = 2\times \dfrac{77}{5}\\\\YZ=\dfrac{154}{5}\\\\YZ=30\dfrac{4}{5}$

Hence , this is the required solution .

8 0

3 years ago

A truck is carrying grape juice, passion fruit jucie and pear juice bottles in a ratio of 2:1:2 if there are 20 grapes juices bo

natima [27]

10, if you multiply 2 by 10 you will get 20, 1 times 10 is 10.

5 0

3 years ago

Read 2 more answers

What is the measure of x?

enyata [817]

Answer:

9 in.

Step-by-step explanation:

Given that the 4 in and 10 in. lines are parallel, the two triangles are similar.

As such, the ratio of the sides would give the same results.

Hence,

4/6 = 10/(6 + x)

cross multiplying

4(6 + x) = 60

Dividing both sides by 4

6 + x = 15

collecting like terms

x = 15 - 6

= 9

3 0

3 years ago

1-2 Attributes of Functions

natita [175]

Given:

The function is

$f(x)=7x+11$

To find:

The domain, range, and intercepts of the function.

Solution:

We have,

$f(x)=7x+11$

It is a linear function, and domain and range of these types of functions are all real numbers.

$Domain:(-\infty,\infty)$

$Range:(-\infty,\infty)$

Put x=0 in f(x), to find the y-intercept.

$f(0)=7(0)+11$

$f(0)=0+11$

$f(0)=11$

So, the y-intercept is 11.

Put f(x)=0 in f(x), to find the x-intercept.

$0=7x+11$

$0-11=7x$

$-11=7x$

Divide both sides by 7.

$\dfrac{-11}{7}=x$

So, the x-intercept is $\dfrac{-11}{7}$ .

Therefore, $Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),$ $y-intercept :11$ .

3 0

3 years ago