Solve the problem
( Show your work )

2x + 10 =- 4x – 9

Answers

Answer 1

Answer:

x = -19/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2x + 10 = -4x - 9

Step 2: Solve for x

Add 4x on both sides:                    6x + 10 = -9Subtract 10 on both sides:             6x = -19Divide 6 on both sides:                  x = -19/6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    2(-19/6) + 10 = -4(-19/6) - 9Multiply:                               -19/3 + 10 = 38/3 - 9Add/Subtract:                      11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.


Related Questions

Write the equation in slope-intercept form.
-4x – 10y = -7

Answers

Answer:

Original: -4x - 10y = -7

10y = 4x - 7

5y = 2x - 7

Answer: y = 2/5x - 7

Answer:

The slope intercept is below.

Step-by-step explanation:

y= -[tex]\frac{2}{5}[/tex]x + [tex]\frac{7}{10}[/tex]

Hope this helps and if you could mark me as brainliest. Thanks!

lydia wants to buy as many $3 pop sockets as she can for her friends if she has $16 which linear inequality would be used for how many she can buy

Answers

Answer:

she can buy 5

Step-by-step explanation:

Find the volume of the prism

Answers

12 because 4*2*1.5=12 and to find volume you use the formula v=l*w*h

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90° The length of the longest side of the triangle is not known How many different triangles can be drawn with these dimensions? Explain your reasoning​

Answers

Answer:

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°.  The length of the longest side of the triangle is not known.

How many different triangles can be drawn with these dimensions? Explain your reasoning.

Step-by-step explanation:your weclome

The number of triangles that can be drawn with these dimensions will be one.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one point of 90° The length of the longest side of the triangle isn't known.

The longest side of the triangle is given as,

H² = P² + B²

H² = 12² + 5²

H² = 144 + 25

H² = 169

H = 13 cm

If the three dimensions of the triangle are known, then the number of possible triangles is only one.

The number of triangles that can be drawn with these dimensions will be one.

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Question 4 (1 point)
Which statement best describes the effect on the graph of y = (x-9)2 if the equation is changed to y = (x+9)2?
Oa
Ob
Oc
Od
The graph moves up 18 units.
The graph moves right 18 units.
The graph moves down 18 units.
The graph moves left 18 units.

Answers

Answer:

left

Step-by-step explanation:

Answer:

c. the graph moves left 18 units

Step-by-step explanation:

edge 2021

(:

2. when we solve a quadratic equation, how many solutions should we always start out seeking? explain why when solving a quadratic equation in the form ax? bx c

Answers

For a quadratic equation, we start out seeking 2 solutions.

According to the statement

We have to find about the quadratic equation.

So, For this purpose, we know that the

Quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power

From the given information:

when we solve a quadratic equation, how many solutions should we always start out seeking.

Then

Here, we are required to search out out what number solutions to start out out seeking while solving a equation and also the condition for a quadratic graph not having zeros ( no x-intercepts).

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

And, a quadratic can haven't any zeros ( no x intercepts) if the roots of the equation are complex numbers.

A quadratic is one which has the very best degree of its variable ( usually x) to be 2.

Consequently, after we solve a quadratic, one should start out seeking two (2) solutions.

This is so because, the quantity of solutions to begin out seeking corresponds with the very best power of the experimental variable, X.

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

Therefore, where X¹ occurs in an equation, it's linear and consequently has 1 solution.

And, where X² occurs in an equation, it's quadratic and consequently has 2 solutions.

It is possible to possess a quadratic with no zeros (i.e no x-intercepts).

So, For a quadratic equation, we start out seeking 2 solutions.

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Rebecca bought fresh fruit to make smoothies for breakfast this week. She spent a total of $18.90 on strawberries and blueberries at the farmers' market. She bought 4.5 pounds of strawberries at $2.40 per pound. If she bought 4.5 pounds of blueberries as well, how much did they cost per pound?

Answers

Answer:

1.8 per pound

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Martin and Alexia are rock climbing. Each person's rate stays the same for the first hour they climb. Which statement are true?
LOOK AT ATTACHED IMAGE
CHOOSE ONE ANSWER
A. Martin climbs at a rate of 20 meters per hour
B. Alexia take 0.21 of an hour to climb one meter
C. Martin climbs at a rate of 0.20 meters per hour
D. Alexia climbs a rate of 15 meters per hour.

Answers

Answer:

Martin climbs at a rate of 20 meters per hour

Step-by-step explanation:

Martin and Alexia are rock climbing. Each person's rate stays the same for the first hour they climb.

For Martin's,

Distance = [tex]3\dfrac{1}{3}\ m=\dfrac{10}{3}\ m[/tex] in 1/6 hour

Rate is given by :

[tex]R=\dfrac{\frac{10}{3}}{\frac{1}{6}}\ m/h\\\\=\dfrac{10}{3}\times 6\\\\=20\ \text{meters/hour}[/tex]

For Alexia,

Distance = [tex]17\dfrac{1}{2}\ m=\dfrac{35}{2}\ m[/tex] in 5/6 hour

Rate is given by :

[tex]R=\dfrac{\frac{35}{2}}{\frac{5}{6}}\ m/h\\\\=\dfrac{35}{2}\times \dfrac{6}{5}\\\\=21\ \text{meters/hour}[/tex]

Hence, the correct option is (A) "Martin climbs at a rate of 20 meters per hour"

Solve please!!!!!!!!!

Answers

If I’m not mistaken it should be

y = 1/4x - 5

identify the equation that represents the data in the table
a.y=x+5
b. y=-3x + 5
c. y=-5x + 1
d. y = x + 13

Answers

Answer:

i would say A

Step-by-step explanation:

What is 1/8% as a decimal?

Answers

Answer:

1 divided by 8 = . 125.

Step-by-step explanation:

632 16/25 + 31 3/10 and turn it into a decimal :)

Answers

Answer:

  663.94

Step-by-step explanation:

Help please this should be easy

Answers

Answer:

The answers are A, D, and E

Step-by-step explanation:

Hope this helps have a blessed day

Solve y = mx + b for x.

Answers

Answer: x = (y - b)/m

Step-by-step explanation:

y = mx + b

y - b = mx + b - b

y - b = mx

(y - b)/m = mx/m

x = (y - b)/m

Find the slope of the line passing through the points (-4,-4) and (2,5)​

Answers

Answer:

3/2

Step-by-step explanation:

Use the slope formula:

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

m = (5-(-4))/(2-(-4))

m = 9/6

m = 3/2

To find the answer to this question, all we need to do is use the slope formula!

Slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

(-4, -4) is [tex]x_{1} y_{1}[/tex]

and

(2,5) is [tex]x_{2} y_{2}[/tex]

Now lets plug in the points

[tex]\frac{5- (-4)}{2- (-4)}[/tex]

solve this simple subtraction problem!

5 - (-4) = 9

2 - (-4) = 6

Now we have : [tex]\frac{9}{6}[/tex]

Let's simplify since 9 and 6 both have a common factor of 3

Your final answer is...

The slope of the line passing through the points is [tex]\frac{3}{2}[/tex] !!

I hope I helped !

What’s the answer????

Answers

Answer:

c.

Step-by-step explanation:

c. the medium through which the wave travels

A client takes 112 tablets of medication four times per day for 4 days. How many tablets will the client have taken at the end of day four?

Answers

Answer:

1792

Step-by-step explanation:

1 day = 112 × 4

        = 448

4 days = 448 × 4

           = 1792

112 times 4= 448


.......

Need help now, will give brainliest

Answers

Answer:

sorry I don't understand it

Answer:

really??

Step-by-step explanation:

When a driver applies the brakes, the tires lock but the car will continue to slide, leaving skid marks on the road. You can approximate the speed at which a car was traveling on a dry road based on the length of a skid mark left by the car using the formula Speed = (30xlengthx0.75)1/2, where speed is measured
in miles per hour and length is measured in feet. At approximately what speed
was a car traveling if it left a 50-foot long skid mark? Round to the nearest tenth.
.

Answers

The speed of the car was 33.5 miles per hour on the road on the basis of the skid mark it leaves behind on the road.

Given that, when a driver applies the brakes, then the tires lock but the car continue to slide, and leaves a skid mark on the road. By using the length of the skid mark we can approximate the speed of the car by which it was travelling on the road. The formula which we will be using to approximate the speed = √30 × Length of the skid mark × 0.75, where the speed is measured in miles per hour and the length is measured in feet.

Length of the skid mark on the road = 50 feet

speed of the car = √30 × Length of the skid mark × 0.75

simply put the value of length of the skid mark in the above formula and solve accordingly.

=√30 × 50 × 0.75

=√1125

=33.5

∴ The speed of the car was 33.5 miles per hour when it was on the road and leave behind a 50 feet skid mark on the road.

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. The highest natural point in the world is Mt. Everest with an elevation of 29,028 feet
above sea level. The lowest natural point in the world is the Dead Sea, which sits at
1,312 feet below sea level. Which equation could be used to represent these two
elevations as solutions?

Answers

The equation that can be used to represent these two elevations as solutions will be 29028 - (-1312).

How to illustrate the information?

From the information, highest natural point in the world is Mt. Everest with an elevation of 29,028 feet above sea level andd the lowest natural point in the world is the Dead Sea, which sits at 1,312 feet below sea level.

Therefore, the equation which depict the two elevations will be the difference between the elevations and this will be:

= 29028 - (-1312)

= 30340

The distance between them is 30340 feet.

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Factor completely (x2 + x - 6)(2x2 + 4x)

Answers

Answer:

Eq 1) x^2 + x - 6

Factors are : x-2(x+3)

Eq 2) 2x^2 + 4x + 0

Factor out 2x

Factors are: 2x(x+2)

Answer: 2x(to the fourth power) + 6x (to the third power) - 8x (to the second power) - 24x

Step-by-step explanation:

Rearrange
X=2w + 1 over 5 – 3w
to make w the subject.
(4 marks)
W =

Answers

Answer:

Rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]

Step-by-step explanation:

We need to rearrange the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject.

[tex]x=\frac{2w+1}{5-3w}\\x(5-3w)=2w+1\\5x-3wx=2w+1\\[/tex]

Subtract 2w on both sides

[tex]5x-3wx-2w=2w+1=2w\\5x-3wx-2w=1\\[/tex]

Subtract 5x on both sides

[tex]5x-3wx-2w-5x=1-5x\\-3wx-2w=1-5x\\[/tex]

Taking w common on left hand side

[tex]w(-3x-2)=1-5x\\[/tex]

Divide both sides by -3x-2

[tex]\frac{w(-3x-2)}{-3x-2} =\frac{1-5x}{-3x-2}\\w=\frac{1-5x}{-3x-2}[/tex]

So, rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]

Which equation represents a line which is parallel to the line y=1/2x + 2​

Answers

Answer:

1/2

Step-by-step explanation:

HELP ...........................! !

Answers

Answer:

i think its 12.25

Step-by-step explanation:

when i did it i got 49/4 an as a whole number it is 12 so uhhh

Answer:

12.25

Step-by-step explanation:

[tex] {3.5}^{7 - 6} }^{2} [/tex]

3.5^2

12.25

Select three ratios that are equivalent to 8: 5.
Choose 3 answers:
А 16:10
(B) 50 : 80
C 48:30
D 32 : 20
E 64 : 35

Answers

Answer: A C and D

Step-by-step explanation:

8:5 = 160%

16:10 = 160%

50:80 = 62.5%

48:30 = 160%

32:20 = 160%

64:35 = 185%

Glad to help!

truck has 5 crates of apples. Each crate has an equal number of apples. Altogether, the truck is carrying 5,460 apples. How many apples are in 4 crates? (2 steps)

Answers

Answer:

each crate has 1,092

The jazz band has 13 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.

Answers

Answer:

13 * r

Step-by-step explanation:

If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold r raffle tickets each. The expression is multiplication.

Can someone please help me with proofs

Answers

Answer:

You can say in step 3 that the triangles are congruent by SAS.

look at the picture, pls help me!!!

Answers

The answer for the first one it’s 0 there are separate equations right?

-2x^4-34x^3-140
Factor it completly

Answers

The factor of the given equation; -2x⁴-34x³-140 is (x³ + 10)(x + 7).

What is defined as factorization?

Factorization is the process of dividing a large number into smaller numbers that, when multiplied together, yield the original number.

Factorization occurs when you divide a number into its factors or divisors. For example, the factorization of the number 12 could be 3 times 4.

Now, as per the stated question;

Quartic Equation: The general quartic equation has an analogous formula: ax⁴ + bx³ + cx² + dx + e = 0. This really refers to four different formulas, each of which yields one root of a equation.

The given quartic equation is -2x⁴-34x³-140.

Divide the complete equation by -2.

= x⁴ + 17x³ + 70

Find the factors of 0 such that on addition it given 17.

=  x⁴ + 10x³ + 7x³ + 70

Taking x common

= x(x³ + 10) + 7(x³ + 10)

Taking (x³ + 10) common,

= (x³ + 10)(x + 7)

Therefore, the factors of the given quartic equation is found as: (x³ + 10)(x + 7).

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