What is the vertex of f(x)=x+8-3

Answer:

C or option three, f(x) = 1.5x + 0.5

Step-by-step explanation:

HAVE A GREAT DAY AND STAY SAFE!

The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

The general equation of a straight line is y = mx + c

A slope of a line is the change in y coordinate with respect to the change in x coordinate

Here,

Consider two points in the lines

(3,5) and (5,8)

Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

= [tex]\frac{8-5}{5-3}[/tex]

=1.5

From the graph y intercept is 0.5

Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

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Answer:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Step-by-step explanation:

For this case we have the following function:

[tex] P(t) = 10 (2)^{t/60}[/tex]

Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Answer:

The odometer showed 6,015.2 miles at the beginning of the trip.

Step-by-step explanation:

The odometer increases according to the number of miles traveled.

Before the trip, it showed x miles.

During the trip, the car was driven 422.3 miles.

After the trip, it showed 6,437.5 miles.

So

x + 422.3 = 6437.5

x = 6437.5 - 422.3

x = 6,015.2

The odometer showed 6,015.2 miles at the beginning of the trip.

Answer:

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

f(-2)=-2(-2) =4

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

Answer:

the answer would be 20

Answer:

x=3/2 or 1.5

Step-by-step explanation:

To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.

3(4x+5)=33

First, divide both sides by 3, since 3 is being multiplied by 4x+5

3(4x+5)/3=33/3

4x+5=11

Next, subtract 5 from both sides, since it is being added to 4x

4x+5-5=11-5

4x=6

Divide both sides by 4, since 4 is being multiplied by x

4x/4=6/4

x=6/4

x=3/2 or 1.5

Answer:

B

Step-by-step explanation:

Volume = ⅓ pi × r² × h

147pi = ⅓ × pi × 7² × h

Step-by-step explanation:

Step 1:  Find the expression that can be used to find h

[tex]V = \pi * r^2 * \frac{h}{3}[/tex]

[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]

[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]

147 pi = one-third pi (7 squared) (h)

Answer:  Option B

Answer:yes?

Step-by-step explanation:

it has #s in it lol

Answer:

no it isnt

Step-by-step explanation:

Answer:

85km/h which is 52.82mph

Step-by-step explanation:

Answer:

Standard Form; x^2 - 11x + 24 = 0

Step-by-step explanation:

Simplify rewrite such that the quadratic equation has 0 isolated on the right or left side, most commonly right side;

x^2 - 11x + 19 = - 5 ⇒ Add 5 on either side of equation,

Standard Form; x^2 - 11x + 24 = 0

Answer:

y=5/3x

Step-by-step explanation:

The equation can be used to represent y = (5/3)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.

Since the water continues to flow at the same rate.

Using represent the number of gallons, y, that flow through the faucet in x

In 3 minutes, 5 gallons of water come out of a faucet.

So the equation can be used to represent y = (5/3)x

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Answer:

Time when Ben and Melanie are 360 miles apart = 3.871 hours.

Step-by-step explanation:

The question seems unclear, but the sense that could be made from this question is that

Ben leaves with a speed of 51 miles per hour and Melanie also left at the same time in the opposite direction at a speed of 42 miles per hour. My husband wants to find how many hours they both must have been moving to be 360 miles apart.

Let the required time be t.

Let the distance covered by Ben in t hours be x miles.

Let the distance covered by Melanie in t hours be y miles.

Total distance covered = x + y = 360 (eqn 1)

speed = (distance/time)

For Ben

51 = (x/t)

x = (51t) miles

For Melanie

42 = (y/t)

y = (42t) miles

Substituting for x and y in eqn 1

x + y = 360

51t + 42t = 360

93t = 360

t = (360/93) = 3.871 hours.

Ben would have travelled x = 51t = 51 × 3.871 = 197.42 miles

Melanie would have travelled y = 42t = 42 × 3.871 = 162.58 miles

Hope this Helps!!!!

Answer:

x < .6

Step-by-step explanation:

1+5x<4

Subtract 1 from each side

1-1+5x<4-1

5x<3

Divide each side by 5

5x/5 <3/5

x < .6

Answer:

Step-by-step explanation:

The equation of a linear function is in form:

[tex]y=mx+b[/tex]

We have:

[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]

[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]

[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]

[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]

Answer:

x=-1, -1/2, 3

Step-by-step explanation:

Answer:Answer is 4

15x-5+125=180°

15x=60

x=4

Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..

Answer: 16

Step-by-step explanation:

8+6+2

Answer:

2

Step-by-step explanation:

Under 13 min - that means at least at 07:13 am, and this is the first column, which shows Two People.

Answer:

the answer is b. tangent

Step-by-step explanation:

The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.

The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The tangent of the angle is

[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

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Answer:

Diameter = 212 cm

Step-by-step explanation:

D= 2r

Answer:

1. C 2. B

Step-by-step explanation:

1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section

2. The actual value of x is 33.2

So I plugged in that value for all of them

Answer:

28u-14v+7w

Step-by-step explanation:

Answer: 28u−14v+7w

Step-by-step explanation:

Hope that helps

Answer:

1 = 0

12x12 = 4

100=1

I think the last one is also 1

Step-by-step explanation:

Answer:

They will sound together at 2pm

Step-by-step explanation:

Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.

To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40

The lowest common multiple between both is 120

This means that the two gongs will sound together at exactly 120 minutes

Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours

Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm

Answer:

c

Step-by-step explanation:

the number of bacteria is introduced

The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced. Therefore, option D is the correct answer.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function.  Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.

Exponential functions such as this are of the form

y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods.  In this situation, the initial population, a, is 70000.  Since the number of bacteria decreases by half, r = -0.50.  This gives us

y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.

In 24 hours, there are 6 4-hour periods.  This means x = 6; this gives us

y = 70000(0.50)⁶ = 1093.75.

Therefore, option D is the correct answer.

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Answer:

y = 1.3

Step-by-step explanation:

18y - 17 = 7

18y = 7 + 17

18y = 24

y = 24/18

y = 1.3

hope it helps!

Answer:

y=4/3

Step-by-step explanation:

To solve for y, we need to isolate it.

18y-17=7

Let's start by adding 17 to both sides.

18y=24

Next, we can divide both sides by 18.

y=24/18

Simplify.

y=4/3

Answer:

40

Step-by-step explanation:

24 divided by = 8

8 times 5 = 40

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Answer:

40

Step-by-step explanation:

there is a 5 to 3 ratio for ice cream cones to brownies

ice cream: brownies

5:3

x:24

three times eight is 24

five times eight is 40

Answer:

Step-by-step explanation:

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

[tex]TQ$ X TP=TR^2[/tex]

[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

Answer:

B and C

Step-by-step explanation:

25% of 64 is 16. So find the two answers that are equivalent to 16.

A: 25*64 = 1600 [tex]\neq[/tex] 16

B: [tex]\frac{25}{100}[/tex]*64 = 16

C: 0.25 * 64 = 16

D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16

E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16

Answer:

its b and c. had the same problem.

Answer:

Angle IAJ

Step-by-step explanation:

X idea again. They are opposite to each other in the immediate area around them.