Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Which Number Line Represents The Solution Set For The Inequality 4(x + 3) 2 2x?

Answers

Answer 1

Answer:

1st Option

Step-by-step explanation:

When we solve the equation for x, we get x ≥ -5

This means that x has to be equal to or greater that -5, so positive values. The arrow would be pointing to the right.

Answer 2

The answer is A. this is in Usa test prep right?


Related Questions

heklp me again please if you dont mind

Answers

Step-by-step explanation:

This is the answer of this question.

What do solar cells convert into electricity?
wind
water
sunlight
plants

Answers

Sunlight gives solar energy to solar panel to convert the sunlight into the electricity. Option C is correct.

What is solar cell?

A solar cell, is an electrical device that uses the photovoltaic effect, a physical and chemical phenomena, to convert light energy directly into electricity.

According to the Law of conservation of energy . Energy can not be created nor be destroyed, it can transfer from one to another form.

Sunlight gives solar energy to solar panel to convert the sunlight into the electricity.

Hence, option C is correct.

To learn more about the solar cell, refer to the link;

https://brainly.com/question/12053447

#SPJ2

3/7 of which is 2 1/14

Answers

Step-by-step explanation:

the answer is 14

3/7 • 2 1/14

=14

Write an explicit formula for An, the nth term of the sequence 20, 30, 40, ....

Answers

Answer: 50 60 70

Step-by-step explanation:

Can somebody answer this ?? :)

Answers

Answer:

Because the dashed triangle is smaller than the original it's a reduction. The scale factor is 1/3 because if we look at the altitudes of the triangle, the original is 6 and the dilated is 2 and 2 / 6 = 1 / 3.

PLZ ASAP help meee I need u nowww

Answers

Answer:

£ 14168

solution,

Price of car=£15400

After reduction:

[tex]15400 - 15400 \times \frac{8}{100} \\ = 15400 - 1232 \\ = 14168[/tex]

hope this helps...

Good luck on your assignment....

In a 10% sale a jumper costs £36. How much does it usually cost?

A. 40
B. 39.60
C. 32.40
D. 360

Answers

10% of £36 = £3.60
So you do £36+£3.60
Then your answer is...
B. £39.60

Answer:

A. 40

Step-by-step explanation:

CP= x, SP= £36, sale= 10%

SP= CP- 10%= CP*0.9

x*0.9= £36

x= £36/0.9= £40

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:  D) reflection over the x-axis, vertical shrink by a factor of 7/8, horizontal shift 3 units to the left, and vertical shift 3 units up.

Step-by-step explanation:

[tex]Consider\ f(x)=Ae^{Bx-C}+D\qquad where[/tex]

A = vertical stretch by a factor of A (|A| < 1 is a vertical shrink)-A = reflection across the x-axisB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up,, negative = down)

[tex]f(x)=e^x\\\\g(x)=-\dfrac{7}{8}e^{x+3}+3[/tex]

→ A = -(7/8)

   The negative sign represents a reflection across the x-axis.

   (7/8) < 1 so it is a vertical shrink by a factor of (7/8)

→ C = -3       x +3 = x - (-3)

   This is a horizontal shift 3 units to the left.

→ D = +3

   This is a vertical shift 3 units up.

What are the intercepts of the function?
The x-intercepts are
Consider the function f(x) = x2 + 12x + 11.
x-intercepts:
0= x2 + 12x + 11
0 = (x + 1)(x+ 11)
The y-intercept is
y-intercept
f(0) = (0)2 + 12(0) + 11
) Intro
Done

Answers

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² + 12x + 11 = 0 ← in standard form

(x + 1)(x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 11 = 0 ⇒ x = - 11

The x- intercepts are x = - 11 and x = - 1

To find the y- intercept let x = 0, that is

f(0) = 0² + 12(0) + 11 = 0 + 0 + 11 = 11

The y- intercept is 11

There is a jar of green and red marbles. If there are 21 marbles total and the ratio of green to red is 3:4, how many red marbles are there?

Answers

Answer:

12 red marbles

Step-by-step explanation:

You make an equation: 3x+4x=21

Then, you get 7x=21.

By using algebra, you get x=3.

Then you muliply 3 by 4 since the ratio of red marbles is 4.

So you get 12.

Answer:

There are 12 red marbles

Step-by-step explanation:

green : red : total

3           4       3+4=7

We want a total of 21

21 /7 =3

Multiply by 3

green : red : total

3*3       4*3   7*3

 9         12     21

Find the 14th term of geometric sequence 5,-10,20,...

Answers

Answer:

-40960

Step-by-step explanation:

5,-10,20,..

first term= 5 and common ratio= -2

aₙ= a₁*rⁿ⁻¹

a₁₄= 5*(-2)¹³= -40960

La distancia de la tierra a Plutón es aproximadamente 5, 751, 800, 000 km. ¿Cuánto tarda en llegar una nave que viaja a 35,000 km/h?

Answers

Answer:

The time it takes for the ship to travel from Earth to Pluto is 164,337 hours.

Step-by-step explanation:

The question is:

The distance from Earth to Pluto is approximately 5,751,800,000 km. How long does it take for a ship traveling at 35,000 km / h?

Solution:

The formula to compute the time (t) it takes to travel a certain distance (d) at a certain speed (s) is:

[tex]t=\frac{d}{s}[/tex]

It is provided that:

d = 5,751,800,000 km

s = 35,000 km / h

Compute the time it takes for the ship to travel from Earth to Pluto as follows:

[tex]t=\frac{d}{s}[/tex]

  [tex]=\frac{5751800000}{35000}\\\\=164337.14286\\\\\approx 164337[/tex]

Thus, the time it takes for the ship to travel from Earth to Pluto is 164337 hours.

Sam bright a Canada saving bond paying 4% interest and a provincial government bond paying 5% interest. He invested a total of $15,000 and earned $690 in interest in the first year. How much did he pay for each bond? PLEASE ANSWER THIS ASAP

Answers

Answer:

Money invested in Canada saving bond is $6000.

Money invested in provincial government bond is $9000.

Step-by-step explanation:

First of all, let us have a look at the formula for simple interest:

[tex]SI = \dfrac{P\times R\times T}{100}[/tex]

Where P is the amount invested

R is the rate of interest and

T is the time

We are given here, 2 bonds in which a total of $15000 were invested

Let money invested in Canada saving bond  [tex]P_1[/tex], = $x

Rate of interest, [tex]R_1=4\%[/tex]

Time, [tex]T_1 = 1\ year[/tex]

[tex]SI_1 = \dfrac{P_1\times R_1\times T_1}{100}\\\Rightarrow \dfrac{x\times 4\times 1}{100} ..... (1)[/tex]

Let money invested in provincial government bond [tex]P_2[/tex], = $(15000-x)

Rate of interest, [tex]R_2=5\%[/tex]

Time, [tex]T_2 = 1\ year[/tex]

[tex]SI_2 = \dfrac{P_2\times R_2\times T_2}{100}\\\Rightarrow \dfrac{(15000-x)\times 5\times 1}{100} ..... (2)[/tex]

We are given that

[tex]SI_1+SI_2=$690\\\text{Using equations (1) and (2):}\\\\\Rightarrow \dfrac{4x}{100} + \dfrac{(15000-x)\times 5}{100} = 690\\\Rightarrow 4x + (75000-5x) = 69000\\\Rightarrow x = \$6000[/tex]

Money invested in Canada saving bond = $6000

Money invested in provincial government bond = $15000-$6000 = $9000

(2x + 4)(3x + 8 ) neeedd help

Answers

Answer:  6x^2 +28x + 32

Step-by-step explanation: FOIL

First: 2x × 3x = 6x^2

Outside:2x × 8 = 16x, and Inside: 3x × 4 = 12x Combine those to get +28x

Last: 4 × 8 = 32

Put them together in order 6x² + 28x + 32

A blue sqaure is placed inside a large yellow square The centres of the squares are aligned one over the other one side of the square is (3x + 2)cm and the other side is (8 - x)cm the area of the blue square is 36% the area of the yellow square. Find the dstance between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner

Answers

Answer:

the distance y between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner is 1.3cm

Step-by-step explanation:

From the information given;

A blue square is placed inside a large yellow square and the centres of the squares are aligned one over the other

So ; if one side of the  square is (3x + 2)cm  (i.e the blue side)

the  other side is (8 - x)cm  (i.e the yellow sides)

since the two shapes given are squares ; we can say that:

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

3x +x = 8 -2

4x = 6

x = 6/4

x = 1.5

Let replace x = 1.5 for the sides of the square and find the actual length of the square sides.

So, for the yellow side; we have:

= (8 - x)cm

= (8 - 1.5 ) cm

= 6.5 cm

We all know that the area of the square = l²

then the area of the yellow side = (6.5 cm )²

the area of the yellow side = 42.25 cm²

Let y be the distance between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner

Since the blue region is inside the yellow region; to calculate for the side of the blue region ; we have:

(6.5y -y+y) cm

(6.5 - 2y )cm

The area of the blue side =( (6.5 - 2y )cm)²

The area of the blue side =  (6.5 - 2y )² cm²

However; we are also given that :

the area of the blue square is 36% the area of the yellow square.

Thus;

(6.5 - 2y )² = 36/100 × 42.25

(6.5 - 2y )² =  0.36  × 42.25

(6.5 - 2y )² =  15.21

(6.5 - 2y ) = [tex]\sqrt{15.21}[/tex]

(6.5 - 2y ) = 3.9

6.5 - 2y = 3.9

6.5 - 3.9 = 2y

2.6 = 2y

y = 2.6/2

y = 1.3 cm

Therefore , the distance y between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner is 1.3cm

WILL GIVE BRAINLIEST Which pairs of rectangles are similar polygons? Select each correct answer. 1)two rectangles. larger rectangle has left side labeled 1225 m and bottom labeled 144 m. the smaller rectangle has left side labeled 3.5 m and bottom side labeled 1.2 m. 2)two rectangles. larger rectangle has left side labeled 13 m and bottom labeled 5 m. the smaller rectangle has left side labeled 5.2 m and bottom side labeled 2.5 m. 3)two rectangles. larger rectangle has left side labeled 18 m and bottom labeled 6 m. the smaller rectangle has left side labeled 4.5 m and bottom side labeled 1.5 m. 4)two rectangles. larger rectangle has left side labeled 40 m and bottom labeled 15 m. the smaller rectangle has left side labeled 8 m and bottom side labeled 3 m.

Answers

Answer: Look at the picture :)

The pairs of rectangles that are similar polygons are those in;

1 and 4

For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.

In question 1;

Ratio of corresponding left sides = 1225/3.5 = 350

Ratio of corresponding bottom sides = 144/1.2 = 120

Ratios do not correspond and as such they are not similar polygons.

In question 2;

Ratio of corresponding left sides = 13/5.2 = 2.5

Ratio of corresponding bottom sides = 5/2.5 = 2

Ratios do not correspond and as such they are not similar polygons.

In question 3;

Ratio of corresponding left sides = 18/4.5 = 4

Ratio of corresponding bottom sides = 6/1.5 = 2l4

Ratios correspond and as such they are similar polygons.

In question 4;

Ratio of corresponding left sides = 40/8 = 5

Ratio of corresponding bottom sides = 15/3 = 5

Ratios correspond and as such they are similar polygons.

Read more at;https://brainly.com/question/20590854

How much x% sugar syrup can you make if you have 100 grams of sugar?

Answers

Answer:

100/x/100

Step-by-step explanation:

The answer is 10,000/x.

Step-by-step explanation:

opened a savings account and deposited $1,000.00. The account earns 9% interest, compounded continuously. If he wants to use the money to buy a new bicycle in 1 year, how much will he be able to spend on the bike? Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years. Round your answer to the nearest cent.

Answers

Answer: $1094.17

Step-by-step explanation:

Amount = Pe^rt

La suma de las edades de tres personas es 127años. La mayor tiene 30 años mas que la menor y la del intermedio 26 menos que la menor.¿ calcula la edad de la persona mayor'

Answers

Answer:

La mayor tiene 61 años.

Step-by-step explanation:

Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.

Tenemos las siguientes ecuaciones:

[tex]x+y+z=127[/tex] (la suma de las edades es 127)

[tex]x = z+30[/tex] (la mayor tiene 30 años más que la menor)

La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"

[tex]x-26 = y[/tex] (la del intermedio tiene 26 menos que la mayor).

La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos

[tex]x+(x-26)+(x-30) = 127[/tex]

Obtenemos la ecuación

[tex]3x-56 = 127[/tex]

Sumando 56 a ambos lados y dividiendo por 3, obtenemos

[tex] x = \frac{127+56}{3} = 61[/tex]

Es decir la mayor tiene 61 años.

a rectangle has an area of 40 sq units , then length is 6 units greater than the width

Answers

Answer:

A=L*W

Let w be width

L=(w+6)

40=(w+6)*w

40= w^{2} +6w

w^{2} +6w-40=0

w^{2}+10w-4w-40=0  

w(w+10)-4(w+10)=0

(w-4)(w+10)=0

w=4

Length= 10 units

Width=4 units

Step-by-step explanation:

determine which function has the greatest rate of change as x approaches infinity f(x)=4x+50, g(x)=3^x-4, h(x)=2x^2+9x-4, there is not enough information to determine the answer

Answers

Answer:

g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.

Step-by-step explanation:

Calculate the area and perimeter of the following ring where
a = 7cm,
b = 14cm
Area of Ring:
Perimeter of Ring:
(its urgent)

Answers

Answer:

Area=19

perimeter=21

Helpppp pleaseee
What is the solution to -2(8x – 4)< 2x + 5?
Ox>
Ox<
O x > 6
O x<6

Answers

Answer:

x> 1/6

Step-by-step explanation:

-2(8x – 4)< 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x +8+16x < 2x+16x+5

8 < 18x+5

Subtract 5 from each side

8-5 < 18x

3 < 18x

Divide each side by 18

3/18 < 18x/18

1/6 < x

Answer:

[tex]x > \frac{1}{6} [/tex]

First answer is correct.

Step-by-step explanation:

[tex] - 2(8 x - 4) < 2x + 5 \\ - 16x + 8 < 2x + 5 \\ - 16x - 2x < - 8 + 5 \\ - 18x < - 3 \\ \frac{ - 18x}{ - 18} < \frac{ - 3}{ - 18} \\ x > \frac{1}{6} [/tex]

for the following geometric sequence find the recursive formula. {1, -3, 9, ...}

Answers

Answer:

[tex]g_{n}=g_{n-1} *-3[/tex]

Step-by-step explanation:

A recursive formula is [tex]g_{n}=g_{n-1} *r[/tex].  N is the number of terms and r is the rate of change.  R here equals -3 because you are multiplying by -3 eachtime.  Therefore, the recursive formula is [tex]g_{n}=g_{n-1} *-3[/tex]

The answer is : Gn= Gn- 1* -3


please help thank you

Answers

Answer:

y=5x+15

Step-by-step explanation:

We get y=5x+15 since she charges a one time fee of $15 and $5 every hour.

Answer:

Answer D

Step-by-step explanation:

what is the slope-intercept equation of the line below?

Answers

Answer:

B, y = 2x -3

Step-by-step explanation:

Do rise over run to find the slope, and you will get 2

The y intercept is at (0, -3) so plug in -3 in the equation

The equation is y = 2x -3

Answer:

B

Step-by-step explanation:

How many roots do u thinn

Answers

Answer:

2 roots1 root

Step-by-step explanation:

Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).

  y = a(x -h)^2 +k

has leading coefficient "a" and vertex (h, k).

__

f(x) = 1/3(x +5)^2 +7

  vertex: (-5, 7), opens downward

The vertex is above the x-axis, so there are two real roots.

__

f(x) = -5(x -3)^2

  vertex: (3, 0), opens downward

The vertex is on the x-axis, so there is one real root.

helppppppp pls I don't get itttt​

Answers

Answer:

c: 5 x 3/5

Step-by-step explanation:

so the is 15 blocks shaded on the 25 grid

so i would work out each fraction answer and find which one makes 15/25

5 x 5/3 = 25/25

3/5 + 3/5 + 3/5 + 3/5 + 3/5 + 3/5 = 21/5

5 x 3/5 = 15/25

hope this helps :)

if the answer is wrong plz comment and i will fix thanks :)

Answer:

c) 5x3/5

Step-by-step explanation:

Look at one of the bars only. We see that 3 blocks out of 5 are colored in.

So that means the fraction is 3/5. But since there are 5 bars, we must multiply the fraction by 5.

Therefore, the answer is c) 5x3/5

hope this helped:)

P.S. If you like the answer, could you mark as brainliest plz?

11(4x+13)+12x-17 PLZ HELP WILL HAVE MORE QUESTIONS. ANSWER ASAP

Answers

Answer:

56x + 126

Step-by-step explanation:

Step 1: Distribute

44x + 143 + 12x - 18

Step 2: Combine like terms

56x + 126

[tex]\text{Simplify the expression}\\\\11(4x+13)+12x-17\\\\\text{Use the distributive property}\\\\44x+143+12x-17\\\\\text{Combine like terms}\\\\\boxed{56x+126}[/tex]

Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? ^ means squared A.) Perimeter = 46 cm, area = 131.25 cm^2 B.) Perimeter = 126 cm, area = 972 cm^2 C.) Perimeter = 46 cm, area = 972 cm^2 D.) Perimeter = 126 cm, area = 131.25 cm^2

Answers

Answer:

B.) Perimeter = 126 cm, area = 972 cm²

Step-by-step explanation:

==>Given:

Rectangle with the following dimensions:

L = 8 cm

W = 6 cm

==>Required:

Perimeter and area of the rectangle if enlarged using a scale factor of 4.5.

==>Solution:

The dimensions of the rectangle when enlarged by a scale factor of 4.5 would be:

L = 8 × 4.5 = 36cm

W = 6 × 4.5 = 27cm

=>Area = L × B

= 36 × 27

Area = 972 cm²

=>Perimeter = 2(L + W)

= 2(36 + 27)

= 2(63)

Perimeter = 126 cm

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