Solve the equations and graph the solution

Solve The Equations And Graph The Solution

Answers

Answer 1

Given:

The inequalities are:

[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]

To find:

The solution for the given inequalities and graph the solution.

Solution:

We have,

[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]

Solve the above inequalities separately.

[tex]-5x<-3[/tex]

Divide both sides by -5.

[tex]x>\dfrac{-3}{-5}[/tex]

[tex]x>\dfrac{3}{5}[/tex]             ...(i)

And,

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

Divide both sides by 2.

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

[tex]x<-4[/tex]                       ...(ii)

From (i) and (ii). we get

[tex]x<-4[/tex] or [tex]x>\dfrac{3}{5}[/tex]

The interval notation of the solution is [tex](-\infty,-4)\cup \left(\dfrac{3}{5},\infty\right)[/tex].

The graph of the solution is shown below.

Solve The Equations And Graph The Solution

Related Questions

It takes Priti 4 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph. She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph. Assuming Priti doesn't stop, what is her average speed from Ashdown to Carton to 1 dp?

Answers

Answer:

Her average speed from Ashdown to Carton is approximately 48.4 mph

Step-by-step explanation:

The time and speed of the motion of Priti are as follows;

The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours

The average speed she drove from Ashdown to Bridgeton = 50 mph

The distance she drove from Bridgeton to Carton, d₂ = 30 miles

Her average speed from Bridgeton to Carton = 40 mph

The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles

The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour

Average velocity, [tex]v_{ave}[/tex] = (Total distance traveled, Δd)/(Total time, Δt)

Δd = d₁ + d₂, Δt = t₁ + t₂

Δd = 200 miles + 30 miles = 230 miles

Δt = 4 hours + 0.75 hour = 4.75 hours

∴ The average velocity, [tex]v_{ave}[/tex] = (230 miles)/(4.75 hours)

∴ [tex]v_{ave}[/tex] = (920/19) mph

Her average speed from Ashdown to Carton, rouded to 1 d,p, [tex]v_{ave}[/tex] ≈ 48.4 mph

Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because of the ASA congruence theorem. of the AAS congruence theorem. of the third angle theorem. all right triangles are congruent.

Answers

Answer:

Its b on edge

Step-by-step explanation:

yes

The Triangle TSR ≅ QRS by AAS congruence, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, vertices and three angles.

The triangle TSR and QRS are right-angle triangles, in a right angle triangle one of the angle is equal to 90 degree,

'These triangles have to be proved congruent,

They both have the right angle.

The measure of Angle T = Angle Q,

They both have a common side,

So, they both are congruent by AAS congruence theorem.

To know more about Triangle

https://brainly.com/question/2773823

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3) Find the volume of the figure below. Round to the tenth place

Answers

Volume of cylinder= πr^2h

r=14.2/2=7.05

Quick note there are 2 cylinders one top and one buttom

V= πr^2h

= 2(π(7.05)^2x17.8)

Final answer = 5558.8 cm^3

25=125^k find the value of k​

Answers

Answer:

2/3

Step-by-step explanation:

25=125^k

5^2=5^3k

2=3k

k=2/3

The value of k is k = 2/3.

What is an exponent?

The number of times a number is multiplied by itself is referred to as an exponent.

Given that, [tex]25 = 125^k[/tex].

Follow the steps to find the value of k:

[tex]25 = 125^k\\\\5^2=(5^3)^k\\\\5^2=5^{3k}[/tex]

Since the base of the exponents is the same, it follows:

2 = 3k

k = 2/3

Hence, the value of k is k = 2/3.

Learn more about exponents here:

https://brainly.com/question/5497425

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Sidney bought 18 toy cars. The cars came in p packages. Write an expression that shows
how many toy cars were in each package.

Answers

Answer:

[tex]\frac{18}{p}[/tex]

Step-by-step explanation:

help me please........​

Answers

Answer:

I believe the second option.

Step-by-step explanation:

In the triangle below, what is the length of the side opposite the 60° angle? O A. 3 O B. v O C. VE OD. 6

Answers

Answer:

I'm not sure what you mean by "O A. 3 O B. v O C. VE OD. 6", if that's just options for answers or something, But the side length opposite of the 60° angle would be 3.

I think The answer would be a

A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?

Answers

1 km = 1000 meters

2 km = 2 x 1000 = 2,000 meters

Area = length x width

Area = 2,000 x 8.3 = 16,600 square meters

Cost:

Multiply total area by cost per square meter:

16,600 x 30 = £498,000

jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?

Answers

Answer:

the bank contains 30 nickels and 70 dimes.

Step-by-step explanation:

Help with this question.

Answers

128³÷128²+272²+272³

128+272=400÷128*272=400

400÷400=1

Twice a number is 16 greater than two times the opposite of the number. What is the number

Answers

Answer:

4

Step-by-step explanation:

Let's say our number is n.

First, we have two times a number. This can be represented by 2 times our number, n, or 2*n

Next, we have that is 16 greater than ... It is hard to conceptualize what 2*n is 16 greater than, so we can move on and save this for later.

Furthermore, we have two times the opposite of the number. Opposite represents the opposite side of a number line, e.g. if the number was 5, the opposite would be -5. This can be represented by multiplying our number n by -1, or -1 * n = -n. We then take two times of this opposite, or 2 * -1 * n = -2 * n.

So far, we have 2*n is 16 greater than -2 * n. We can then say that if a first number is 16 greater than a second number, we must add 16 to the second number to get the first number. Applying that here, we can say that 2*n = -2*n + 16

We then have

2*n = -2*n + 16

We then want to separate the n from the real number(s) (16 in this case). To do that, we can add 2*n to both sides, making our equation

2*n+2*n = 16

4*n = 16

Then, we can finally divide both sides by 4 to get

n = 4

PLEASE HELP!!! I have 7 minutes to awnser this

Answers

Answer: It's A

Step-by-step explanation:

The correct answer is A

because the equation is in slope-intercept form “y=mx+b” and b is the y-intercept in the equation so it would be $75 which is the amount he was given

What's the area of the shaded region?

Answers

Answer:

99cm²

Step-by-step explanation:

Area of shaded region=(area of outer rectangle)-(area of inner triangle)

Area of shaded region=(L×W)-(bh/2)

=(12×10)-((6×7)/2)

=120-(42/2)

=120-21

=99cm²

The area of the shaded region is 99cm2

Question 2 of 10 What is the length of side s of the square shown below? 45 6 09 90° O A. 6 O B. 2 O C. 32 O D. 5 O E. 3 OF. 6-12​

Answers

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{6}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2s = 6[tex]\sqrt{2}[/tex]  ( divide both sides by 2 )

s = 3[tex]\sqrt{2}[/tex] → C

can someone help me find what a,b and c are?

Answers

Answer:

7 < 8.5 < 9

Step-by-step explanation:

Well < and > mean greater and less than so put it from the smallest to the largest

Which equation represents a line which is parallel to the line
X + 6y = -24?

Answers

Answer:

y = -(1/6)x - 6

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

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

x + 6y = -24

Subtract x from both sides

6y = -x  - 24

Divide both sides by 6

y = -(1/6)x - 4

slope = -1/6

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

Parallel lines have the same slope

therefor the parallel line is

y = -(1/6)x - 6

A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery

Answers

Answer:

The power is 1.68 W.

Step-by-step explanation:

Voltage, V = 3 V

charge, q = 0.56 C

time, t = 1 s

Let the power is P.

P  = V q /t

P = 3 x 0.56 / 1 = 1.68 W

A city has a population of 300,000 people. Suppose that each year the population grows by 4.5% . What will the population be after 8 years?

Answers

Answer:

population=300,000

population size per year=4.5%

population size for 8 years=8 × 4.5%

=0.36

=108000

Which statement can be represented by the equation 18 divided by m = 7.2?

A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.

Answers

Answer:

A number,m,is seven point two . Eighteen divided by a number,m,is seven point two

Answer:

its c

Step-by-step explanation:

just to make it easier for you:)

The polynomial function 1x) = 5x^5+16/5x-3
is graphed below
Which is a potential rational root of f(x) at point P?

Answers

First option. gboicboybkivnjonn

(a²+b²)= hihihihihihihihi

Answers

Answer:

? This isn't a problem

Step-by-step explanation:

A dress that costs $66.99 is on sale for 1/5 off. What is the sale price of the dress? Round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

The formula to figure this out is

[tex]C=66.99(1-.2)[/tex] where .2 is 1/5 in decimal form. What this means is that you may be saving 1/5 but you're still spending 4/5.

C = 66.99(.8) so

Cost = $53.59

the sale price of the dress is $53.59. you saved $13.40

Consider the sequence 2/4, 3/5, 4/6, 5/7,... Which statement describes the sequence?

The sequence diverges.

The sequence converges to 0.

The sequence converges to 1.

The sequence converges to [infinity].

Answers

Answer:

The sequence converges to 1.

Step-by-step explanation:

Sequence 2/4, 3/5, 4/6, 5/7

This sequence can be summarized as:

[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]

To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.

Limit:

[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]

Considering only the terms with the highest exponent in the numerator and the denominator:

[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]

Thus, the sequences converges to 1.

Combine these radicals. -6v100 + V36​

Answers

Answer:

-54

Step-by-step explanation:

[tex]-6\sqrt{100} +\sqrt{36}[/tex]

-6 * 10 + 6

-60 + 6

= -54

100 = 50 *2

       = 25 * 2 * 2

       = 5 * 5 * 2 * 2

       = [tex]5^{2} *2^{2}[/tex]

 5 * 2 = 10

~~~~~~~~~~

36 = 6 * 6 = 3 * 3 * 2 * 2 = 3^2 ^ 2^2

3*2 = 6

25 is a perfect square. Which of the following is a perfect cube?
[A] 1
[B] 4
[C] 16
[D] 36

Answers

Answer:

the perfect cube is [A] 1

Answer: [A] 1

Explanation: 1x1x1 = 1

Perfect cubes are things what multiply by themselves 3 times!

Sonia took a loan of $10 000 from ABC bank tob pay for a renovation at home. The bank offered her a period of 30 months at a rate of 10.5%. to repay the loan:

a) Calculate the Simple Interest she would pay in 30 months.

b) Calculate the Total amount Sonia would have to repay the bank.​

Answers

Don’t worry I will get you your answer

Evaluate the expression (4p - m) where m=-4 and p=2
Show the work plz.

Answers

Answer:

12

Step-by-step explanation:

(4p - m)

Let m = -4 and p=2

( 4* 2 - (-4))

Multiply

8 - -4

Add

8+4

12

Answer:

Step-by-step explanation:

m = - 4   & p =2

4p - m = 4*2 - (-4)

            = 8 + 4

            = 12

The number of boysin a club is 48 and the number of girls is 20. Express this ratio in its simplest form

Answers

Answer:

the ratio is 12:5

Step-by-step explanation:

48:20 divided in half 24:10 divided in half 12:5

Which expression is equivalent to 3 sqrt32x8y10?

O 4x2y3(3 sqrt2x2y)
O 2x4y5(3 sqrt4)
O 2x2y3(3 sqrt4x2y)
O 4x4y5(3 sqrt2)​

Answers

Answer: [tex]2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]

Answer:

Option C :

               [tex]\sqrt[3]{32x^8y^10} = 2x^2 y^3 \sqrt[3]{4x^2 y}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{32x^8y^{10}}} = ( 32 x^8 y^{10})^{\frac{1}{3}}[/tex]

              [tex]= ( 2^5 \times x^8 \times y^{10})^{\frac{1}{3}}\\\\= ( 2^{5\times\frac{1}{3}} \times x^{8 \times \frac{1}{3}} \times y^{10 \times \frac{1}{3}})\\\\=(2^{\frac{3}{3} + \frac{2}{3}}} \times x^{\frac{6}{3} + \frac{2}{3}} \times y^{\frac{9}{3} + \frac{1}{3}})\\\\= 2 \times 2^{\frac{2}{3}} x^2 \times x^{\frac{2}{3}} \times y^3 \times y^\frac{1}{3}\\\\=2x^2 y^3 \times 2^{\frac{2}{3} \times }x^{\frac{2}{3}} \times y^{\frac{1}{3}}\\\\=2x^2 y^3 (2^2x^2 y)^{\frac{1}{3}}\\\\= 2x^2y^3 \ \sqrt[3]{ \ 4 x^2 \ y }[/tex]

Will mark brainliest

Answers

Answer:

the answer would be 270

Step-by-step explanation:

i can explain later:

since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.

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