how do you solve this system of equation?
2x+4y=-4
3x + 5y =-3

Answer:

refer the attachment......

Step-by-step explanation:

hope this works

Answer:

11 people is correct

Step-by-step explanation:

Answer:

y = 16

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex]

To find k use the condition y = 14 when x = 8, thus

14 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )

112 = k

y = [tex]\frac{112}{x}[/tex] ← equation of variation

When x = 7, then

y = [tex]\frac{112}{7}[/tex] = 16

Answer:

14

Step-by-step explanation:

17 - 5 = 12 / 4 = 3

every 3 points is 1/4 of the way from X to Y

3 x 3 = 9/12 = 3/4 of the way

(starting point) + (3/4 of the way) = point

5 + 9 = 14

Answer:

[tex](x - 1)(x - 12)(x - 10)[/tex]

Step-by-step explanation:

Given

Factorize:

[tex]x^3 - 23x^2 + 142x - 120[/tex]

Required

Factorize

We start by checking for the factors of the given polynomial;

Check x - 1 = 0;

This implies that x = 1

Substitute 1 for x in [tex]x^3 - 23x^2 + 142x - 120[/tex]

[tex](1)^3 - 23(1)^2 + 142(1) - 120[/tex]

[tex]= 1 - 23 + 142 - 120[/tex]

[tex]= 0[/tex]

Since the result is 0, then x - 1 = 0 is a factor

Divide the polynomial by x - 1

(See attachment for long division)

The result is: [tex]x^2 - 22x + 120[/tex]

Hence, the factor is

[tex](x - 1)(x^2 - 22x + 120)[/tex]

Expand the quadratic function

[tex](x - 1)(x^2 - 12x - 10x + 120)[/tex]

Factorize

[tex](x - 1)(x(x - 12) - 10(x - 12))[/tex]

[tex](x - 1)(x - 12)(x - 10)[/tex]

Hence;

Factorizing [tex]x^3 - 23x^2 + 142x - 120[/tex] gives [tex](x - 1)(x - 12)(x - 10)[/tex]

=====================================================

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

m = (y2 - y1)/(x2 - x1)

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

Answer:

9

Step-by-step explanation:

12.03 x 0.74=8.9022

the first number after the decimal is the tenths place, the second is the hundreths, the third is the thousandths. Excuse my spelling Im 13.

Answer:

28.27530

Step-by-step explanation:

Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction

62.834 = 62834/1000

0.45 = 45/100

Take the product if the resulting fraction:

62.834 × 0.45 = 62834/1000 × 45/100

= (62834×45)/1000×100

= 2,827,530/100,000

= 28.27530

Answer:28.27530

Step-by-step explanation:Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction

62.834 = 62834/1000

0.45 = 45/100

Take the product if the resulting fraction:

62.834 × 0.45 = 62834/1000 × 45/100

= (62834×45)/1000×100

= 2,827,530/100,000

= 28.27530

Answer:

6

Step-by-step explanation:

If the graph intersects the x-axis, then there is an x-intercept at that point. So, we know that 3 and 9 are the x-intercepts of the parabola.

Parabolas can only have 0, 1, or 2, x intercepts. The x coordinate of the vertex will be the average of the x coordinates of the x-intercepts, since the vertex will be in the middle of the 2 x intercept points.

Take the average of 3 and 9:

(3 + 9) / 2

12 / 2

= 6

The x coordinate of the vertex is 6.

Answer:+c

Step-by-step explanation:

-12. 2 negatives always make a positive

Answer:

84.85 feet or 60[tex]\sqrt2[/tex] feet.

Step-by-step explanation:

Given that:

Distance of paths between each pair of consecutive bases is 60 ft.

To find:

Distance that the ball needs to travel if it is thrown directly from home plate to second base?

Solution:

Actually the given problem can be mapped to a right angled triangle in which base and height are given to be equal to 60 ft (because each pair of consecutive bases are 60 ft apart), Plus, they are at right angles to each other.

So, kindly refer to the image attached.

AB and BC are the distance of paths between consecutive bases.

And we have to find AC.

We can use Pythagorean theorem to find out the Hypotenuse of the triangle.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AC^{2} = AB^{2} + BC^{2} \\\Rightarrow AC^{2} = 60^{2} + 60^{2} \\\Rightarrow AC = \sqrt{2 \times 60^2}\\\Rightarrow AC = \bold{60\sqrt{2}\ ft = 84.85\ ft}[/tex]

Answer:

66

Step-by-step explanation:

12+14=26

26+40=66

Answer: Each player will get 9 cards

Step-by-step explanation:

Given, there are 6 players and 58 cards.

i.e. Total players = 6 and total cards = 58

If each player is given the same number of cards, then by the division operation the number of cards each player will get = ( total cards) ÷ ( total players)

[tex]=58\div6[/tex]    

[tex]=9\dfrac{2}{6}[/tex]

Hence, each player will get 9 cards ( 2cards will be left).

Answer:

0.972 is a rational real number.

Step-by-step explanation:

A rational number is defined as the number that can be expressed from the result of a fraction.

1/4 = 0.25

An integer number is all those that do not have a decimal part.

(-∞ ..., -3, -2, -1, 0, 1, 2, 3, ... ∞)

Natural numbers are all those positive numbers starting from 0 to infinity.

N = (0, 1, 2, 3, 4, 5, ... ∞)

Answer:

Median

Step-by-step explanation:

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

Hope this helps! Please tell me if I did anything wrong, thank you and have a great day!

Answer:

Step-by-step explanation:

[tex]LHS = \frac{1}{m^{2}}-\frac{1}{m^{2}+1}\\\\\\=\frac{1*(m^{2}+1)}{m^{2}*(m^{2}+1)}-\frac{1*m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{m^{2}+1- m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{1}{(m^{2}+1)m^{2}}=RHS[/tex]

Answer:

71 & 25 m

Step-by-step explanation:

a • b = 1775

2a + 2b = 192

substitution:

a = 1775/b

2(1775/b) + 2b = 192

distribute the 2

(3550/b) + 2b = 192

subtract 192 from both sides

(3550/b) + 2b - 192 = 0

transform the expression by dividing all terms by b

(3550 + 2b² - 192b) / b = 0

when the quotient of expressions equals 0, the numerator has to be 0

3550 + 2b² - 192b = 0

reorder the terms

2b² - 192 b + 3550 = 0

divide by sides by 2

b² - 96b + 1775 = 0

rewrite -96b as a difference using factoring X

b² - 25b - 71b + 1775 = 0

factor the expression (factor out b)

b (b-25) - 71b + 1775

factor out b - 25 from the expression

(b - 25) (b - 71) = 0

if b = 25 or 71, then a = 71 or 25

71 & 25 m

Answer:

i would say A.

Step-by-step explanation:

because 1028 + 693 = 1721 then you would do 2042 - 1721 and that would be 321.

Answer & Step-by-step explanation:

The Segment Addition Postulate states that AB + BC = AC when C is between A and B.

The segment addition postulate states that if point C is between points A and B then the segment AB will be equal to the sum of AC and CB.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the segment addition postulate states that if point C is between points A and B.

The expression for the line segment can be formed mathematically as below:-

AB = AC + CB

From the above equation, it is observed that the sum of the segment AC and CB will be equal to AB.

Therefore, according to the segment addition postulate, segment AB will equal the sum of the segments AC and CB if point C is located between points A and B.

To know more about line segments follow

brainly.com/question/2437195

#SPJ2

Answer:

a: 5

b: 79

c: 93

d: 100

Step-by-step explanation:

Answer:

The person above me is correct <3

Step-by-step explanation:

Answer:

2. (2 + x ) ( 8 + x)

Step-by-step explanation:

x^2 + 10x + 16

Factor

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 = 10

(x+8)(x+2)

Answer:

-974.765

Step-by-step explanation:

1.235 -976. Try to get a calculator if that helps!:)

Answer:

3) 33 bags

Step-by-step explanation:

she needs 54, but already has 4.5 cubic feet of soil, so really, Maya only needs 49.5 cubic feet of soil.

If each bag contains 1.5 cubic feet of soil, 49.5 feet needed /1.5 feet per bag = 33 bags.

Answer:

You would get 2.25 back.

Step-by-step explanation:

1.50 + 2.00 + 3.25 + 1 = 7.75 Dollars

10 - 7.75 = 2.25

Answer:

There would be 950 cm of thread left on the reel

Step-by-step explanation:

Here in this question, we are interested in knowing the amount of thread left on the reel.

To answer this question properly, we shall need to be consistent in using our units.

Thus, we need to convert the length of thread on the reel to cm.

Mathematically;

100cm = 1 m

let x cm = 15.25 m

x = 15.25 * 100 = 1525 m

Since 575 cm has been used for a project, the amount of thread in cm left on the reel will be;

1525 cm - 575 cm = 950 cm

Answer:

[tex] x^9[/tex]

Step-by-step explanation:

[tex] \huge {x}^{2} . {x}^{7} = {x}^{2 + 7} = {x}^{9} \\ [/tex]

Answer:

1 ≤ x  < 4

Step-by-step explanation:

-2≤ 2x - 4 < 4

Add 4 to each side

-2+4 ≤ 2x - 4+4 < 4+4

2 ≤ 2x  < 8

Divide each side by 2

2/2 ≤ 2x/2  < 8/2

1 ≤ x  < 4

Answer:

a.0<=x<-2

Step-by-step explanation: