Is x = -4 a solution to these equations? Show your work and write YES or NO.

1. 3(2x-4) = -36
2. 5x - 6x - x = 18
3. 5 - 2(3x - 1) = 31

Answers

Answer 1

Answer:

1. Yes

2. No

3. Yes

Step-by-step explanation:

We have three equations where x is equal to -4. We are then asked if -4 are a solution to these equations.

To solve we need to substitute the x in every equation for -4. Start :

1.

3(2(-4) - 4) = -36

3(-8 - 4) = -36

-24 - 12 = -36

Therefore -4 is a solution.

2.

5(-4) - 6(-4) - (-4) = 18

-20 + 24 + 4 = 18

4 + 4 = 18

8 ≠ 18

Therefore -4 is not a solution.

3.

5 - 2(3(-4) - 1) = 31

5 - 2(-12 - 1) = 31

5 - 2(-13) = 31

5 + 26 = 31

Therefore -4 is a solution.


Related Questions

How do I solve 10x = 100

Answers

Answer:

x = 10 since 10 x 10 = 100

Step-by-step explanation:

Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.

Answers

Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:

4. Which of these types of angles have the same measure
after being rotated, reflected, or translated in a coordinate
plane? Select all that apply.
a. Acute angles
b. Right angles
c.Obtuse angles

Answers

Right angles all credit to the first person

. What is the value of x in the diagram below?
(1 point)
36
20
Х
Ox= 12v5
Ox=12/14
Ox=4170
O not enough information

Answers

Answer:

C. x = 4√70

Step-by-step explanation:

To find x, we would apply the leg rule.

Leg rule is:

Hypotenuse/leg = leg/part

Hypotenuse = 36 + 20 = 56

Leg = x

Part = 20

Plug in the values into the equation

Thus, we would have:

56/x = x/20

Cross multiply

x*x = 56*20

x² = 1,120

x = √1,120

x = √(16*70)

x = 4√70

The correct answer is c.

Write the equations of these circles.
a) Centre origin, radius 3/2
b) Centre origin, radius 0.5
c) Centre origin, radius root 3​

Answers

I attached an image cause it’s easier to explain the answers. I just want to add that if the centre of a circle is the origin it means that it has the coordinates (0,0).
Hope this helps

The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

The center of the circle is (0, 0) or the origin.

The radius of the circles is given.

As we know, the standard equation for the circle is:

(x - h)² + (y - k)² = r²

Here (h, k) is the center and r is the radius of the circle.

a) Centre origin, radius 3/2

Plug h = 0, k = 0, and r = 3/2

x² + y² = (3/2)²

x² + y² = 9/4

Similarly,

b) Centre origin, radius 0.5

x² + y² = 0.25

c) Centre origin, radius √3

x² + y² = 3

Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Find slope of the line if it is defined through (5,10) and (5,-6)

Answers

Answer:

Undefined

Step-by-step explanation:

The slope is undefined as both points have the same x value.

Answer:

Undefined

Step-by-step explanation:

                        5 , 10

5 +0 = 5     <--  5 , -6     <-- 10 - 16 = -6

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

m = [tex]\frac{-16}{0}[/tex]   <-- Doesn't sense. So the slope will be undefined

Jenny sold 17 less than 3 times the number of quilts Laura sold. Jenny sold
4 quilts. Select whether each statement is true or false. ZEE.4. ZEE 4a

Answers

Answer:

the statement would be false.

Step-by-step explanation:

Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.

You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?

Answers

Answer:

16

Step-by-step explanation:

50 - 16 = 34

34 / 2 = 17

34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.

Quick check:

34 + 16 = 50

Hope this helps!

how to do i need help solve

Answers

Answer:

51 cm^2

Step-by-step explanation:

We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.

We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2

Draw an line separating the two shapes.

Find the area of one: 9cm x 4cm= 36cm^2

Find the area of the second shape: 3cm x 5cm= 15cm ^2

Add the two answers together to get: 51cm ^2.

Have a great day!

What is the solution to this inequality? 7x +18 > -3

x<-3
x<3
x>-3
x>3​

Answers

x > -3

Step-by-step explanation:

7x + 18 > -37x > -3 -187x > -21x > -21÷7x > -3

MARK ME AS BRAINLISTPLZ FOLLOW ME

Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).

Answers

Answer:

A)4

Step-by-step explanation:

Since (3+1)^1/2=2

and 3-1=2

2/2=1

3+1=4

A ratio of two numbers a/b, where b is no zero

Answers

[tex]{ \large{ \red{{\green{✮}} \: \: \sf{A \: \: number \: \: in \: \: the \: \: form \: \: of \: \:{\pink{ \frac{a}{b} \: \: where \: \: b≠0 }}\: \:{\orange{ is \: \: called \: \: a }}\: \: { \blue{ \underline{ \underline{ \tt{Rational \: \: Number}.}}}}}}}}[/tex]

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6

Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500

Answers

Answer:

b. y = 20.077 sin(0.500x - 1.959) + 67.577

Step-by-step explanation:

The easiest way to solve

1. Plot the points for one year2. Add the functions to same graph and compare

This gave us the option B as the best fit line

See the graph below

Step-by-step explanation:

the dude above me is right

According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 30 adolescents and find the proportion in our sample who are obese. We record this value. Now, repeat this many more times so that we have a great many sample proportions drawn from this population. Suppose we make a dotplot of the sample proportions. Would the dotplot be a visualization of the population distribution, the distribution of a sample, or the sampling distribution of proportions?

Answers

Answer:

the sampling distribution of proportions

Step-by-step explanation:

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

Can someone explain this to me? I really need help. Thx!

Answers

Answer:

3 to the 4th power.

Step-by-step explanation:

Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.

3- 8 + 4(3x + 3)
+2y
Thanks!!!

Answers

Answer:

7+12x+2y

Step-by-step explanation:

3-8+(12x + 12)+2y=

-5+(12x +12)+2y=

7+12x+2y

Answer:

Simplified, your answer should be 12x + 2y + 7

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?​

Answers

Answer:

24×3=72

Sooo the answer 72✨

Pls help meeee :))))))

Answers

Answer:

A. 1.80

Step-by-step explanation:

Answer:

A. 1.80

Explanation:

solve the inequality. Graph the solution on a number line. 7<_2

Answers

i have no idea but i really need help on this too33458584837

how many inches would represent 315 miles​

Answers

Answer: 19,958,400

Step-by-step explanation: Multiply the length value by 63360.

315 x 63,360 = 19,958,400

Bob has 17/23 left of a wall to demolish. Each swing of a sledgehammer brings down an additional 17/161 of the wall. How many more swings will it take him to bring down all of the wall?

Answers

(17/23)/(17/161) = 161/23 = 7

Someone answer right por favor

Answers

The answer is 64!

hope this helps youu!!

Answer:

64

Step-by-step explanation:

Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64

do's and donts in handling measuring tools

Answers

Here’s your answer mate :

Answer:

I need answer too

Pleaseee help us

If an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?
WILL MARK BRAINLIEST!

Answers

Answer:

-4 mph/sec

Step-by-step explanation:

Answer: -4 mph/s

Step-by-step explanation:

Remember the formula:

FinalVelocity = InitialVelocity + (acceleration)(time)

50 = 30 + (a)(5)

a = (30 - 50)/5

a = -4 mph/s

carmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?

Answers

Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

What is unknown number in proportion?

Answers

Answer:

x = 2.4/20= 0.12

Step-by-step explanation:

Multiply both sides by 4 to eliminate the fraction 1/4:

1      20

--- = ------

x      2.4

Next, we cross-multiply.  This eliminates the fractions:

20x = 2.4

Dividing both sides by 20 results in an equation for x:  x = 2.4/20= 0.12

Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's

polygon?

1. Point A (2.5)

2. Point B (8,5)

3. Point C (8,9)

4. Point D (5,7)

5. Point E (2.9)

V

E

C

9

8

D

7

6

ke

5

A

B

4

3

2

1

5

6

7

8

9.

Answers

Answer:

Area of polygon = 18

Step-by-step explanation:

the given points are :

Point A (2.5)

Point B (8,5)

Point C (8,9)

Point D (5,7)

Point E (2,9)

Firstly , create the array

A     2       5

B     8       5

C     8       9

D     5       7

E      2      9

A      2      5

Now,

Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.

⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)

Now,

Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result

⇒ 40 + 40 + 45 + 14 + 18 = 157   ........(2)

Now, Subtract equation (2) from equation (1), we get

193 - 157 = 36

Now, Divide by 2 to get the area of polygon

∴ we get

Area of polygon = 18


Answer:
Need help with this plz

Answers

Answer:

(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)

                          10x+70=180

                                 10x=110

                                     x=11

(b) ∠C = 2x-10

           = 2(11)-10

           =  12°

how many solutions does the equation 7x-4=7x+15​

Answers

Answer:

No solution

Step-by-step explanation:

7x-4=7x+15​

-4 = 15 = not true

Answer:

0 because is you -7x from both sides you get -4=15 which doesn't work.

Step-by-step explanation:

A light bulb consumes 1800 watt-hour per day. How long does it take to consume 8550 watt-hours

Answers

Answer:

4 hours and 45 minutes

Step-by-step explanation:

8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes

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