Which number line represents the solution to the inequality 1 + 2x < -7?

Answers

Answer 1

Answer:

[tex]\boxed {x < -4}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]1 + 2x < -7[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]1 - 1 + 2x < -7 - 1[/tex]

[tex]2x < -8[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} < \frac{-8}{2}[/tex]

[tex]\boxed {x < -4}[/tex]

The number line:

Which Number Line Represents The Solution To The Inequality 1 + 2x &lt; -7?

Related Questions

Find the length of the rectangle if x= 10.

And find the perimeter if x=10

PLEASE HELP .


Answers

Answer:

34

Step-by-step explanation:

10+2=12

12 on both sides=24

5 on both sides=10

10+24=34

The perimeter of the rectangle is 34 for the given sides.

What is the perimeter of the rectangle?

The rectangle is defined as a quadrilateral having four sides and the angle suspended by all the sides is equal to 360 degrees. The perimeter is the sum of all the sides of the rectangle.

Given that the two sides of the rectangle are 5 and x + 2. The value of x is 10.

The perimeter of the rectangle will be calculated as:-

L = 10+2=12

12 on both sides=24

5 on both sides=10

Perimeter = 10+24=34

Therefore, the perimeter of the rectangle is 34 for the given sides.

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What is (w-2)/w=3/6

w=?

Answers

Answer:

W=4

Step-by-step explanation:

11) -14 - 8x = -2(-3x + 7)
Needing some help with this

Answers

Answer:

x = 0

Step-by-step explanation:

First, distribute the -2 to the parentheses:

-14 - 8x = -2(-3x + 7)

-14 - 8x = 6x - 14

Add 14 to both sides:

-8x = 6x

Subtract 6x from both sides:

-14x = 0

Divide each side by -14:

x = 0

So, x = 0

Answer:

0

Step-by-step explanation:

-14-8x=6x-14(cancel equal terms)

-8x=6x(move the variable to the left)

-8x-6x=0(collect like terms)

-14x=0Divide both sides)

x=0

Can I have some help please?

Answers

Answer:

Step-by-step explanation:

Last one

Answer:

1/3

Step-by-step explanation:

P(green) = green marbles / total marbles

3 green marbles

9 total marbles

P( green) = 3/9 = 1/3

(NEED HELP WILL MARK BRAINLIEST)
1. Which of the following is TRUE?

A. The Protestant Reformation began in Wittenberg, Germany.
B. Spain lost its empire trying to oppose the Protestant Reformation.
C. The Protestant Reformation led to widespread economic, intellectual, political, and
religious turmoil.
D. All of the above

Answers

Answer:

All of the above

Step-by-step explanation:

Also, this is a history, not a maths problem

HELPPP ILL DO ANYTHING HELPPPP

Answers

Answer:

-2

Step-by-step explanation:

hi! to find f(-3) on this graph, go to the x-value -3 and find the y-value there. when we look at -3 on the x-axis, we go down and see that there is a point at (-3,-2). therefore, f(-3)=-2.

A boat has a speed of 9 mph in Coldwater. It takes about four hours to travel upstream but only two hours to travel the same distance down stream. Which equation can be used to find C, the speed of the current in miles per hour?

Answers

It is 18 miles per hour

What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768

Answers

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

.

Decimal form = 0.8

Fraction form = 4/5

.

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

Answer:

It Is 0.8

Step-by-step explanation:

I took the quiz

Write an equation and solve for x

Answers

3x+12+x=90, simplify (4x+12=90), subtract both sides by 12 (4x=78), divide both sides by 4 (39/7)

-(5z + 12) = 18

show how to solve the given equation ​

Answers

Answer:

- 6

Step-by-step explanation:

Step 1:

- ( 5z + 12 ) = 18     Equation

Step 2:

- 5z - 12 = 18      Open Parenthises

Step 3:

- 5z = 30     Add 12 on both sides

Step 4:

z = 30 ÷ - 5     Divide

Answer:

z = - 6

Hope This Helps :)

Answer: z = -6

Step-by-step explanation:

Hi there! I will be showing you how to solve the given equation. If you have any questions feel free to comment it down below.

Step 1: Remove parentheses.

-5z - 12 = 18

Step 2: Add 12 to both sides.

-5z = 18 + 12

Step 3: Simplify 18 + 12 to 30.

-5z = 30

Step 4: Divide both sides by -5.

z = [tex]-\frac{30}{5}[/tex]

Step 5: Simplify [tex]\frac{30}{5}[/tex] to 6.

z = -6

I hope I helped you :)

I really need help pls can anyone help me I would be so grateful if you help me

Answers

Answer:

the image is blurry

Step-by-step explanation:

sorry but the image is not full visible because it is blurry:(

URGENT!!
1. Given the equation 3x – 4y = 24.
a) Find two solutions to the equation. Write your answer as coordinates.





b) Using your answers from part a, what is the slope of the given equation.





c) Convert the given equation into slope-intercept form.

Answers

Answer:

(0, -6) and (8, 0)

[tex]\dfrac{4}{3}[/tex]

[tex]y=\dfrac{3}{4}-6[/tex]

Step-by-step explanation:

(a) [tex]3x-4y=24[/tex]

Let [tex]x=0[/tex]

[tex]0-4y=24\\\Rightarrow y=-6[/tex]

Let [tex]y=0[/tex]

[tex]3x-0=24\\\Rightarrow x=8[/tex]

Two coordinates are (0, -6) and (8, 0)

(b) Slope is given by

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\dfrac{0-(-6)}{8-0}\\\Rightarrow m=\dfrac{3}{4}[/tex]

The slope of the equation is [tex]\dfrac{4}{3}[/tex]

(c)

[tex]3x-4y=24\\\Rightarrow 4y=3x-24\\\Rightarrow y=\dfrac{3}{4}-6[/tex]

The slope intercept form of the equation is [tex]y=\dfrac{3}{4}-6[/tex]

What is the remainder of 832 divided by 77?

Answers

Answer:

[tex]10\frac{62}{77}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

62

Step-by-step explanation:

find it out then you see what is left after the question is through

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?

y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)

Answers

Answer:

B. y - 2 = 1/3(x - 3)

Answer:

B.

Explanation:

If you actually do the math you get B

which is bigger 7/9 or 5/6​

Answers

Answer:

5/6

Step-by-step explanation:

7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9

5/6 is greater than 7/9

What is a fraction?

A common fraction is a numeral which represents a rational number. For example 2/3

Given here, 7/9 and  5/6 now 7/9 = 0.777 and 5/6= 0.833

Thus clearly 5/6 >7/9

Hence, 5/6 is greater than 7/9

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP WILL MARK BRAINLIST THING
I'M DUM DUM

Answers

Answer:

LM=7

Step-by-step explanation:

Let me know if its right;)

wait oops i answered by accident now i cant delete it

Please help! Brainliest! How are the functions y = 2x2 and y = 2x2 + 7 related? How are their graphs related?

A. Each output for y = 2x2 + 7 is 7 less than the corresponding output of y = 2x2. The graph of y = 2x2 + 7 is the graph of y = 2x2 translated down 7 units.

B. Each output for y = 2x2 + 7 is 7 greater than the corresponding output of y = 2x2. The graph of y = 2x2 + 7 is the graph of y = 2x2 translated up 7 units.

Answers

It’s should be B. The graphs will be identical in shape but the second one will be shifted up 7 units

Option B is correct.

We have the two equations -

[tex]y= 2x^{2}[/tex]

[tex]y=2x^{2} +7[/tex]

We have determine how are these functions related and how are their graphs related.

What type of conic section is represented by equation -y = [tex]$x^{2}[/tex] ?

A parabola is represented by the equation y = [tex]$x^{2}[/tex].

According to the question, we have -

[tex]y= f(x) = 2x^{2}[/tex]

[tex]y=g(x)=2x^{2} +7[/tex]

Refer to the image attached for graphs.

Now -

g(x) - f(x) = [tex]2x^{2} +7-2x^{2}[/tex] = 7

Therefore -  Each output for y = g(x) is greater than the corresponding output of y = f(x).

From the graph it is clear that the graph of y = g(x) is the graph of

y = f(x) translated up 7 units.

Hence, Option B is correct.

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Mr. George has a bank balance of -42 dollars at the start of the month. After he deposits 6 dollars, the new balance is (with full method pls)

Answers

Answer:

$-36

Step-by-step explanation:

-42+6

-36

A truck driver has to make a delivery at

a location that is 230.2 miles away. She

drives an average of 55 miles each hour

for 3.25 hours. If the truck driver

continues at the same speed, will she

make it to the location in the next

hour?

A Yes, she only has 51.45 miles to go.

® Yes, she only has 52.55 miles to go.

© No, she still has 63.45 miles to go.

D No, she still has 64.65 miles to go.

Answers

Answer:

Option A is correct

Step-by-step explanation:

Speed of truck = 55 miles/hour

Time taken = 3.25 hours

Distance = Speed × Time

[tex]=55[/tex] × 3.25

[tex]=178.75[/tex]

But truck driver has to make a delivery at  a location that is 230.2 miles away.

Distance left to be covered by a truck driver = [tex]230.2-178.75=51.45[/tex] miles

So,

Yes, if the truck driver  continues at the same speed, she will make it to the location in the next  hour such that she only has 51.45 miles to go.

Option A is correct

We want to see if the truck driver has enough speed to reach the destination or not. The correct option is A "Yes, she only has 51.45 miles to go."

Working with speeds:

So we know that she needs to travel a total distance of 230.2 miles.

Now, remember the relation:

Speed*time = distance.

And she travels at an average speed of 55 miles per hour for 3.25 hours, so she traveled a distance of:

(55 mi/h)*3.25 h = 178.75 mi

Then the remaining distance is just:

230.2 mi - 178.75 mi = 51.45 mi

Will she make it in the next hour?

Well, yes, she travels at 55 miles per hour and she has 51.45 miles remaining, so yes, she will make it.

The correct option is A: "Yes, she only has 51.45 miles to go."

If you want to learn more about speed, you can read:

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Can somebody answer ASAP!!!!!!

Answers

Using the rules of exponents, we can take 3^4 / 3^9 and combine the exponents using the the same base.
3^(4-9)
= 3^-5

Move the 3^-5 into the denominator and expand.
1 / 3^5
= 1 / 243

Your answers are (1 / 3^5) and 1/243.

If someone runs a 400m track in 80s what is the average velocity?

Answers

Answer:

V=?

S=400m

t=80s

V=S/t

V=400/80

V=5m/sec

Step-by-step explanation:

the bakers at the healthy bakery can make 200 bagels in 10 hours how many bagels can they make in 24 hours

Answers

Answer:

480 bagels

Step-by-step explanation:

We can use a ratio to solve

200 bagels          x bagels

------------------ = --------------

10 hours          24 hours

200 * 24 = 10x

Divide each side by 10

200 * 24/10 = 10x/10

480 =x

Answer:

480

Step-by-step explanation:

Choose SSS, SAS, or neither to compare
these two triangles.
B
SSS
SAS
neither

Answers

Answer:

neither,  i think

There is No Congruence between Two Triangles.

What is Congruence Rule?

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. If moved, they coincide with one other.

Given:

By seeing Two Triangles, We have two sides Equal.

But, there is no third part of Congruence here.

Hence, there is No Congruence between Two Triangles.

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Simple, plz help! Need Plato answer

Answers

factors of 121 are; 1,11, and 121. so it would be D.

Answer:

11

Step-by-step explanation:

11x11

d+7-8+e=j.............

Answers

Sorry but that’s not even an expression

Answer:

d-1+e=j

Step-by-step explanation:

d+7-8+e=j

subtract the like terms.

7-8=-1

d-1+e=j

Hope this helps.

an exponential function is graphed on the grid

based on the graph, which statement about the function is true

a) the domain is the set of all real numbers

b) the domain is the set of all real numbers less than 3

c) the range is the set of all real numbers greater than or equal to 0

d) the range is the set of all real numbers greater than or equal to -9

Answers

Answer:

a) the domain is the set of all real numbers

Step-by-step explanation:

Given:

An exponential function and its graph.

A line parallel to [tex]x[/tex] axis is drawn at [tex]y=-9[/tex] which is a dashed line.

Dashed line means, the function does not attain a value equal to [tex]y=-9[/tex].

Domain of a function, [tex]y=f(x)[/tex] is the set of values which can be possible for the variable [tex]x[/tex] that can be given as input.

Range of a function, [tex]y=f(x)[/tex] is the set of possible values of [tex]y[/tex] i.e. the output of the function.

As seen from the graph, the domain of the exponential function does not have any constraint on it.

Therefore, any real number can be given as input.

So, a) The domain is the set of all real numbers.

Let us discuss about the range of function.

As stated above as well, the range of the function can not contain the value [tex]y=-9[/tex].

And there is no value possible below it.

So, the range is all real numbers greater than -9.

The answer is:

"a) the domain is the set of all real numbers"  is true.

A triangle has an area of 12 square units and a height of 8 units. Find its base.

Answers

Answer:

3

Step-by-step explanation:

b= 2 [tex]\frac{A}{Hb}\\[/tex] =   2 · [tex]\frac{12}{8}[/tex] = 3

Answer:

base= 3

Step-by-step explanation:

You need to work backwards to solve this problem

A= 1/2bh

with the information given, the equation should look like this:

12= 1/2b8

To get rid of the fraction, you flip it, and you multiply both sides by that (1/2 fliped is 2)

so  2* 12= 1/2b8 *2

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

** You can see that the 1/2 and the two cancel each other out. This is why:

1/2* 2/1= 2/2

2/2=1

1 * b8 is just b8

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

So now you have:

24= b8

you want to get b by itself, so you use inverse operations ( you divide both sides by 8)

24/8= b8/8

your final answer is 3=b

you can plug in 3 into the original equation to check your answer!!!


pumbaa paid monthly mud bills of $85, $77 and $72. His mud budget is
$322 for three months. How much was pumbaa underbudget?

Answers

Answer:

88$ for 3 months

Step-by-step explanation:

85 plus 77 plus 72 = 234

322-234=88$

PO
Question 1
Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?

Answers

Answer:

C=5+0.25m

Step-by-step explanation:

Help please thank you.

Answers

Answer:

h=a/b and the sencond one is 5ft

Step-by-step explanation:

1. isolate the varibles by dividing each side by factors that dont conatin the varible.

2. do 45 divied by 9.

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