Which equation describes the line graphed above? A. -4x-5 B. -1/5x-4 C. -5x-4 C. -4x-1/5

Answer:

False

Step-by-step explanation:

To be able to answer this, we will need to make a reference to the sum and product formula.

What we have in the question is the product and we want to see if the sum correlates.

Using the sum formula, we have the value on the right hand side as;

(1/2)[sin(x+y)+sin(x-y)]

Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false

Answer:

Step-by-step explanation:

[tex] - 2x + 3 = 9 \\ - 2x = 9 - 3 \\ - 2x = 6 \\ \frac{ - 2x}{ - 2} = \frac{6}{ - 2} [/tex]

[tex]x = - 3[/tex]

Answer: x = -3

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is -2x.

Since 3 is being added to -2x, we subtract 3 from

both sides of the equation to isolate the -2x.

On the left, the +3 and -3 cancel out and on the right, 9 - 3 is 6.

So we have -2x = 6.

Now we can finish things off by just dividing

both sides of the equation by -2.

On the left the -2's cancel and on right, 6 divided by -2 is -3.

Thus, the solution to this equation is x = -3.

The distribution for town A is positively skewed, but the distribution for town B is symmetric.

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Explanation:

The length of the whiskers tell us if we're dealing with a symmetric distribution, or a skewed distribution. For town A, the right whisker is longer than the left whisker. So this distribution is positively skewed. We can say it is skewed to the right, or right skewed.

Town B has whiskers of equal length. In addition, the two distances inside the box are equal to one another. We have a perfectly symmetric distribution. One half is a mirror copy of the other half.

Answer:

Hey there!

This is a box and whisker plot, and since the right whisker is longer, this is positively skewed. (For town A)

This is also a box and whisker plot, and since it is even on both sides, it is symmetric.

Hope this helps :)

Answer:

22.33%

Step-by-step explanation:

First, divide 67 by 300. Next, take this result and multiply it by 100

67÷300=0.2233

0.2233×100=22.33

So the answer is 22.33%

Answer:

4a - 40 = 1

Step-by-step explanation:

4/5 a - 8 = 1/5

Multiply each side by 5 to clear the fractions

5(4/5 a - 8) = 1/5 *5

distribute

4a - 40 = 1

Answer:

[tex]\sqrt[5]{2^3}[/tex]

Step-by-step explanation:

2 is the base

The top of the fraction is the power

The bottom of the fraction is the root

[tex]\sqrt[5]{2^3}[/tex]

Answer: A

Step-by-step explanation:

A fractional exponent can be written as a number with a radical to the power of the denominator raised to the power of the numerator.  It sounds difficult, but is really very easy.

[tex]x^{\frac{4}{13} } =\sqrt[13]{x^{4} } \\x^{\frac{7}{3} } =\sqrt[3]{x^{7} } \\[/tex]

Thus, the answer is A

Answer:

Step-by-step explanation:

The cost of the new car is $20,000.

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $20000

r = 0.05/12 = 0.0042

n = 12 × 5 = 60

Therefore,

P = 20000/[{(1+0.0042)^60]-1}/{0.0042(1+0.0042)^60}]

20000/[{(1.0042)^60]-1}/{0.0042(1.0042)^60}]

P = 20000/{1.286 -1}/[0.0042(1.286)]

P = 20000/(0.286/0.0054012)

P = 20000/52.95

P = $378

Ahmed will pay $378 each month

The total payment is

378 × 60 = $22680

The amount that Ahmed will pay in interest is

22680 - 20000 = $2680

Answer:

D. x = 2 − √7 and x = 2 + √7

Step-by-step explanation:

-x² + 4x + 3 = 0

Multiply both sides by -1.

x² − 4x − 3 = 0

Factor using quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-4) ± √((-4)² − 4(1)(-3)) ] / 2(1)

x = (4 ± √28) / 2

x = (4 ± 2√7) / 2

x = 2 ± √7

x = 2 − √7, 2 + √7

Answer:

Rs.34,944

Step-by-step explanation:

(6006 km)/(66 km) = 91

The distance from his hometown to Delhi is 91 times 66 km.

He will need 91 times the amount of petrol.

91 * Rs.384 = Rs.34,944

Answer:

a)19²=361

b)14²=196

c)3²=9

d)60²=3600

e)105²=11025

Step-by-step explanation:

I I don't know if this is correct sorry.

Answer:

Step-by-step explanation:

         |x+3| = 12    

x+3 = 12   or   x+3 = -12

x = 9        or    x = -15

Answer:

The answer is option B.

Step-by-step explanation:

[tex]( - \frac{1}{2} ) ^{ - 3} = ( - 2) ^{3} = - 8[/tex]

Hope this helps you

Answer:

Step-by-step explanation:

B is the answer. This is because you have to calculate (-1/2)^-3 on a calculator. When I did that calculation, I got -8.

(-1/2)^-3      =    (-2)^3 = -2*-2*-2 = 4 * -2 = -8

Hope this helped,

Kavitha

Answer:

346.4 cm^2

Step-by-step explanation:

area = base * height/2

We can use UW as the base.

U + V + W = 180

24 + V + 36 = 180

V = 120

[tex] \dfrac{\sin W}{UV} = \dfrac{\sin V}{UW} [/tex]

[tex] \dfrac{\sin 36^\circ}{34} = \dfrac{\sin 120^\circ}{UW} [/tex]

[tex] UW = \dfrac{34\sin 120^\circ}{\sin 36^\circ} [/tex]

[tex] UW = 50.1 [/tex]

Now drop a perpendicular from V to UW to be the height, h.

[tex]\sin 24^\circ = \dfrac{h}{UV}[/tex]

[tex] \sin 24^\circ = \dfrac{h}{34} [/tex]

[tex] h = 34 \sin 24^\circ [/tex]

[tex] h = 13.8 [/tex]

area = base * height/2

area = UW * h/2

area = 50.1 cm * 13.8 cm/2

area = 346.4 cm^2

Answer:

Correct (1,9), (2,14)

Incorrect (1,8),(2,13)

Step-by-step explanation:

It is simple.

To find the correct values plug a x value.

For Example;

X=1

y=5(1)+4

y=5+4

y=9

so your X value is 1 and your Y value is 9

To solve for the incorrect values

Find the correct values and subtract 1 form the Y value.

Answer: B

Step-by-step explanation:

Quadratic parent function is y=x^2  which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.

Answer:

The last graph is the correct answer

Step-by-step explanation:

Here, we are interested in picking the correct graph that best answers the question.

Before we pick any of the graphs as our answer, it will be appropriate to solve the inequality.

-4h + 42 <34

-4h < 34-42

-4h < -8

Now divide both side by -4; kindly note that when dividing an inequality by a negative number, the sign will change

h > -8/-4

h > 2

So which of the graph best showcases this?

The correct answer is the last graph

Answer:

David scored : 24 < 6x = 0

Step-by-step explanation:

From the information given;

David  scored ??? points less than six times the number of points Rich scored in a video game.

If  ???   represents the number of points scored by Rich

The objective is to write an expression representing the number of points scored by David.

since the value of David points and Rich letter representing the number of points scored by RIch  are not given,  Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.

Assumption:

Let assume that,

David scored 24 points and x should be the number of points scored by Rich

Then; the linear equation representing David score is:

David scored : 24 < 6x = 0

Answer:

11 minutes. 1/4 of 44 is 11

Answer:

Sample Answer: First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.

Step-by-step explanation:

To estimate to the tenths place, you have to determine the actual solution and the approximate.

Assume the solution to the system of equation is:

[tex]\mathbf{(x,y) = (1.25, 1)}[/tex]

1.25 is to the hundredth place.

So, the next thing is to approximate 1.25 to 1.3 (the tenth place).

So, we have:

[tex]\mathbf{(x,y) = (1.3, 1)}[/tex]

Hence, the actual solution must be approximated to the tenths place.

Read more about system of equations at:

https://brainly.com/question/12895249

Answer:

C. p > -3

Step-by-step explanation:

We observe the characteristics of the shaded ray on the number line.

It goes to the right, so the inequality must be either greater than or greater than or equal to.

The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.

Now, without even looking at the numbers themselves, we can find our answer.

There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.

Answer:

see attached figure

Step-by-step explanation:

table completed.  See figure

Answer:

96,220

Step-by-step explanation:

187,400 x .3 (30%)= 56,220

56220+40000= *96,220

Answer:

96,220

Step-by-step explanation:

187,400 x 0.3 = 56,220

56220+40000= 96,220

hope this helps, have a great day :)

Hey there! I'm happy to help!

We want to see which of the formulas is a correct rearrangement of d=rt. To figure this out, we will solve each of our answer options for d. If d is equal to rt, then that option is the correct rearrangement.

OPTION A

t=d/r

We flip the equation around so d is on the left side.

d/r=t

We multiply both sides by r.

d=tr

Using the associative property, we see that d=tr is the same thing as d=rt.

We immediately see that this is the correct option. Therefore, the answer is A. T=d/r.

From the original d=rt, equation, we see that they solved for t by dividing both sides by r, giving you t=d/r.

Have a wonderful day! :D

Answer:

L = length of the ladder;

K = distance between wall and the foot of the ladder;  

a = angle between ladder and the ground

cos(a) = K/L,

L=K/cos(a),

L=K/cos(35°),

L=5/cos(35°),

L=6.1 m

Answer: 6.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

α = 180° - 135° = 45°

β = 180° - 120° = 60°

γ = 180° - 60° = 120°

δ = 180° - x

ε = 180° - 80° = 100°

If we divide the pentagon into five triangles then:

5•180° = α + β + γ + δ + ε + 4x

900° = 45° + 60° + 120° + x + 100° + 4x

900° = 325° + 5x

5x = 575°

x = 115°

60° + 120° + 135° + 80° + 115° = 510° ≠ 360°

Answer:

1. Find the difference between the areas.

Area of the small rectangle: [tex](x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14[/tex]

Area of the big rectangle: [tex](x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99[/tex]

The difference is: [tex]11x+85[/tex]

[tex]( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85[/tex]

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

[tex]f(d)=h=-2d^2+7d+4[/tex]

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

[tex]f(0)=h=-2(0)^2+7(0)+4[/tex]

[tex]h=4[/tex]

The height is 4 meters.

b) 9 meters.

For [tex]d=1[/tex]

[tex]f(1)=h=-2(1)^2+7(1)+4[/tex]

[tex]f(1)=h=-2+7+4[/tex]

[tex]h=9[/tex]

b) The ball travels 4 meters.

But to calculate it, it is when [tex]h=0[/tex]

[tex]0=-2d^2+7d+4[/tex]

Using the quadratic formula:

[tex]$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$[/tex]

[tex]$d=\frac{-7\pm\sqrt{81}}{-4}$[/tex]

[tex]$d=\frac{-7\pm9}{-4}$[/tex]

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

[tex]$d=-\frac{1}{2} \text{ or }d=4$[/tex]

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi (2.5)^2 \cdot 5[/tex]

[tex]V=31.25 \pi[/tex]

[tex]V_{c} \approx 98.17 \text{ m}^3[/tex]

The volume of the sphere:

[tex]$V=\frac{4}{3} \pi r^2$[/tex]

[tex]V_{s} \approx 65.4 \text{ m}^3[/tex]

The volume of the capsule is approximately [tex]163.57 \text{ m}^3[/tex]

Answer:6 a p e x

Step-by-step explanation:

Answer:

63.4°

Step-by-step explanation:

y = 2x - 1

dy/dx = 2

∴ The angle is arc tan(2) = tan^-1(2) = 63.4°

Answer:

x = -8

Step-by-step explanation:

Let's put this into numbers: [tex]\frac{3}{4}[/tex]x =-6

The first thing you want to do is to multiply both sides by 4:

3x=-24

Next you need to divide by 3:

x=-8

The answer is -8

Answer:

-8

Step-by-step explanation:

Let's put this into numbers: x =-6

The first thing you want to do is to multiply both sides by 4:

3x=-24

Next you need to divide by 3:

x=-8

The answer is -8