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3 years ago

Can somebody plz answer this problem

Mathematics

1 answer:

jekas [21]3 years ago

7 0

Answer:

w = 5/7

Step-by-step explanation:

We move all terms to the left:

15/7-(3w)=0

We multiply all the terms by the denominator

-3w*7+15=0

multiply elements

-21w+15=0

We move all terms containing w to the left, all other terms to the right

-21w=-15

w=-15/-21

w=5/7

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72y^5 + 18y^2 what is the GCF? or is this prime?

True [87]

GCF = 18y^2 because both can be divided by this

4 0

3 years ago

Please actually answer and not just take my points and answer quick this is timed

Arte-miy333 [17]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is not included in the solution area for the system (see the explanation)

Step-by-step explanation:

Part A) we have

$y$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=4x-8$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-8)

The x-intercept of the dashed line is (2,0)

$y\geq -\frac{5}{2}x+5$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-\frac{5}{2}x+5$

The slope of the solid line is negative

The y-intercept of the solid line is (0,5)

The x-intercept of the solid line is (2,0)

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Part B) is the point (5, -8) Included in the solution area for the system?

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Substitute the value of x=5, y=-8 in each inequality and then analyze the results

<em>Inequality A</em>

$-8$

$-8$ ----> is true

the ordered pair satisfy inequality A

<em>Inequality B</em>

$-8\geq -\frac{5}{2}(5)+5$

$-8\geq -7.5$ ---> is not true

the ordered pair not satisfy the inequality B

therefore

The ordered pair is not included in the solution area for the system

6 0

3 years ago

Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?

Degger [83]

Answer:

$Union = 15$

Step-by-step explanation:

Given

$n(A) = 5; n(B) = 10; n(C) = 15$

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

$Union = 15$

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

$Intersection = 5$

6 0

3 years ago

Find the length of MT

Mnenie [13.5K]

Answer:

Solution,

x+12+8x-2=180° (Linear pair)

or, 9x+10=180°

or, x+10=180/9

or, x=20-10

x=10

The length of MT

=8x-2

=8×10-2

=80-2

=78

hope it helps you

7 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is 24 inches. Find the dimensions if it’s length is 3 inches greater than its width

Jlenok [28]

2l+2w=24
l=3+w
The first equation comes from the perimeter formula. Since it is a rectangle, there are two lengths and two widths, which must all be added to get the perimeter. The second equation shows that the length is equal to the width plus three. In order to solve this equation, the substitution method should be used, since the one equation is already set equal to one of the variables (L)

2l+2w=24
l=3+w

2(3+w)+2w=24
Use distributive property to get rid of the parentheses
2(3+w)+2w=24
2(3)+2(w)+2w=24
6+2w+2w=24
Simplify like terms on the left side of the equation
6+2w+2w=24
6+4w=24
Subtract six from each side so that all of the w's are on one side
6+4w-6=24-6
4w=18
Divide each side by four to find the value of one w
4w/4=18/4
w=4.5
Plug 4.5 into the one equation to find the value of l
l=3+4.5
l=7.5
Put the numbers into the first equation and simplify:
2(7.5)+2(4.5)=24
15+9=24
24=24
So the length would be 7.5 inches, and the width would be 4.5 inches

7 0

3 years ago