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bija089 [108]
3 years ago
10

Graph 3(8-4x)<6(x-5)

Mathematics
1 answer:
Zinaida [17]3 years ago
4 0

First simplify this inequality:

3(8-4x)

Now you can graph this inequality. Draw the vertical dashed line x=3 and shade the region to the right from this line. This is exactly the region that represents the solution of inequality (see attached diagram for details).

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Rose bought 5 pencils for $0.69 each, 3 notebooks for $ 2.75 each, and a pocket dictionary for
Marysya12 [62]

Answer: $2.81

Step-by-step explanation:

Pencils: 5 * 0.69 = 3.45

Notebooks: 3 * 2.75 = 8.25
pocket dictionary: 5.49

3.45 + 8.25 + 5.49 = 17.19

20 - 17.19 = 2.81

Therefore, she will get $2.81 change back.

3 0
2 years ago
Read 2 more answers
Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=
Nezavi [6.7K]

Given:

The system of equations is

y=2x-5

2y-4x=?

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

y=2x-5

2y-4x=k

Taking all the terms on the left side, the given equations can be rewritten as

-2x+y+5=0

-4x+2y-k=0

The system of equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinitely many solutions if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

We have,

a_1=-2,b_1=1,c_1=5

a_2=-4,b_2=2,c_2=-k

Now,

\dfrac{-2}{-4}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{5}{-k}

On cross multiplication, we get

-k=10

k=-10

Therefore, the missing value is -10.

6 0
3 years ago
Which equation does the graph of the systems of equations solve?
mihalych1998 [28]

Answer:

\text{B. }\frac{1}{3}x-3=-x+1

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let:

(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)

The slope is equal to:

m=\frac{0-1}{1-0}=\frac{-1}{1}=-1

Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)

Using the slope formula:

m=\frac{-2-(-3)}{3-0}=\frac{1}{3}

Thus, the slope of the line is 1/3 and the other line must have a term with \frac{1}{3}x in it, eliminating answer choice C and leaving the answer \boxed{\text{B. }\frac{1}{3}x-3=-x+1}

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

7 0
3 years ago
Is 3(x+x+y) equivalent to 3x+3(x+y)
mote1985 [20]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
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you are creating a model of the solar system and an asteroid that has a linear path that travels through it. The sun is at the c
Anettt [7]

Answer:

still thinking

Step-by-step explanation:

6 0
3 years ago
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