Which choice describes an equation
that has a solution set of
"All real numbers"?
3(x + 1) = 3x + 3

#1

#2

Convert to Vertex form of parabola y=a(x-h)²+k

We need calculator now

On comparing

As a is negative so parabola is opening downwards hence vertex is maximum

#3

When h(t) is 0 ball hits the ground

On solving we get t=-1/16 or 4

Take it positive

At 4s it reach the ground

#4

Domain is set of all t values (Time axis)

Here

ball starts from 0s and hits 0 again at 4s

So domain=[0,4]

Answer:

(a)  66 ft

(b)  66.015625 feet

(c)  4 s

(d)  0 ≤ t ≤ 4

Step-by-step explanation:

[tex]h(t)=-16t^2+63t+4[/tex]

Part (a)

[tex]t=2 \implies h(2)=-16(2)^2+63(2)+4=66[/tex]

Therefore, the height of the ball after 2 seconds is 66 feet

Part (b)

The maximum height will be the turning point of the parabola.

To find the turning point, differentiate the function:

[tex]\implies h'(t)=-32t+63[/tex]

Set it to zero:

[tex]\implies h'(t)=0[/tex]

[tex]\implies-32t+63=0[/tex]

Solve for t:

[tex]\implies 32t=63[/tex]

[tex]\implies t=\dfrac{63}{32}=1.96875[/tex]

Input found value of t into the function and solve for h:

[tex]\implies h(1.96875)=-16(1.96875)^2+63(1.96875)+4=66.015625[/tex]

Therefore, the maximum height of the ball is 66.015625 feet

Part (c)

The ball will hit the ground when h(t) = 0

[tex]\implies -16t^2+63t+4=0[/tex]

[tex]\implies 16t^2-63t-4=0[/tex]

[tex]\implies 16t^2+t-64t-4=0[/tex]

[tex]\implies t(16t+1)-4(16t+1)=0[/tex]

[tex]\implies (t-4)(16t+1)=0[/tex]

[tex]\implies t=4, t=-0.0625[/tex]

As time is positive, t = 4s only

Part (d)

As time is positive, and the ball hits the ground when t = 4 s, the domain should be restricted to:  0 ≤ t ≤ 4

The amount of the tip was computed first, and it was then used to find then percentage of the tip that was given at the restaurant

Given Data

Let us find the amount of the tip

= 17.78 -14

= $3.78

Let us find the percentage tip

= 3.78/14 * 100

= 0.27 * 100

= %27

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Answer:(x+5)(x-2) I Dont know what a special product is sry

Step-by-step explanation:

Answer: Rs. 3120

Step-by-step explanation:

So...

rs. 2400 is the cost as of when it was overpriced by 20%

10%=240

20%= (240+240)= 480

Rs. 2400-480= Rs. 1920 which is the original price before the 20% was added making the price 2400 INR

Now we need to find what 30% is to find out the price if 30% was added to the original cost

so...

If 10%=240

30%=(240+240+240)= Rs. 720

Rs. 2400+720= Rs. 3120

Rs. 3120 is the price the watch was sold at when 30% was added onto the original price and the owner gained 30%.

(.25x)+5 ≤10 or .25x ≤5 i believe both should work.

20 is how many toppings....

you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4

sorry for missing the inequality part at first.........

Answer:

Step-by-step explanation:

(2x2squared-7)2squared=9 2squared

4x4squared-28x2squared+49=81

4x4squared-28x2squared=81-49

4x4squared-28x2squared=32

Answer:

15 percent of 20 is 3. so there are 3 boys and 17 girls in the class.

Step-by-step explanation:

Answer:

254.3 mm^2

Step-by-step explanation:

Area of a circle: A = π*r^2

π (pi) = 3.14

r (radius) = 9 mm

Substitute 3.14 for pi and 9 for radius:

A = π*r^2

A = 3.14*9^2

A = 3.14*81

A = 254.34 mm^2

Round to the nearest tenth:

254.34 ==> 254.3

Therefore, our final answer is 254.3 mm^2

Hope this helps!

Answer:B.a= -2

2.2(44a+5)=1.8a-3

8.8a+11=1.8a-3

8.8a-1.8a=-3-11

7a=-14

:a=-2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The square root of 100 is 10, and 10 is a rational number.

Answer:

ik my head be harding so much

Step-by-step explanation:

like take it out

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]

Answer:

Domain [0,50] and Range [0,100]

Step-by-step explanation:

The domain of a graph is the values that x takes on in the graph.

We see the x values for the graph go from 0 to 50.

Since both ends of the graph are closed circles we will use brackets:

D [0,50]

The range of a graph is the values that y takes on in the graph.

We see the y values for the graph go from 100 to 0.

R [0,100]

We can also write them in interval notation:

Domain: [tex]0\leq x\leq 50[/tex]

Range: [tex]0\leq y\leq 100[/tex]

Answer:

Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height

Step-by-step explanation:

Answer:

50% or 0.5

Step-by-step explanation:

Based on the given conditions, formulate: (5+11-2)÷28

Calculate the sum or difference: 16-2/28

Calculate the sum or difference: 14/28

Cross out the common factor: 1/2

get the result: 50% or 0.5

Answer: 50% or 0.5

Hey there!

10(5 - n) - 1 = 29

10(5) + 10(-n) - 1 = 29

50 - 10n - 1 = 29

49 - 10n = 29

-10n + 49 = 29

ADD 49 to BOTH SIDES

-10n + 49 - 49 = 29 - 49

WORK IT OUT or SIMPLIFY IT!

NEW EQUATION: -10n = -20

DIVIDE -10 to BOTH SIDES

-10n/-10 = -20/-10

WORK IT OUT or SIMPLIFY IT AS WELL!

n = 2

Therefore, your answer is: n = 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

n=2

Step-by-step explanation:

Step #1. Distribute the 10 to (5-n) which is 50-10n

Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29

Step #3. Subtract. -10n+49-49=29-49

Step #4. Simplify again. -10n = -20

Step #5. Divide. -10n/-10= -20/-10

Step #6. Simplify again. n=2

There you have it! N is equal to 2! please mark be as brainliest if you can.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

Answer:

-4 AND 3

Step-by-step explanation:

Step-by-step explanation:

it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.

and then I see

7 × 2 = 14

14 × 2 = 28

28 × 2 = 56

ok, so the sequence is created by always multiplying by 2.

a1 = 7

a2 = a1 × 2 = 7 × 2 = 14

a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28

an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)

a14 = 7 × 2¹³ = 7 × 8192 = 57,344

The answer is 410

Hope this helps!!

Answer:

30% also means 30/100 in fraction form.

(Think of the root 'per' in percent to be per a 100.)

The keyword 'of' means multiplication.

'X' will be the unknown number aka the part that says ('-what number').

And 123 will represent the result.

Set up equation;

Then solve for x;

So your answer is 410.

5 1/3 - 2/3

= (5 – 0) + (1/3-2/3)

= 5 + 1-2/3

= 5 +-1/3

 = 4 2/3

in fraction:

= 4 2/3

in decimal:

= 4.6666666666667

Answer:

i dont know I have the same questions aswell

Answer:

a= 30
b= 60 (pretty sure)
c=105

Step-by-step explanation:

a is a vertical angle to 30, so that means it is also equal to 30.

To find b, since it's on a straight line, you can add up the angles in the triangle and solve for b.

30+90=120

120+b=180

b=60

To find c, you subtract 75 from 180 since it's also a straight line equal to 180 degrees.

Step-by-step explanation:

radius = 14cm

area of circle = [tex]\pi[/tex]r^2

                      = 22/7 *(14)^2

                      = 616 cm^2

Answer:

196π cm² or 615.44 cm²

Step-by-step explanation:

Substitute:

A = πr²

A = 3.14*14²

A = 3.14*196

A = 615.44 cm²

Therefore, the area of the cake is 196π cm² or 615.44 cm²

Hope this helps!

[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]

[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]

[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]

[tex]\\ \rm\Rrightarrow 3z=-1[/tex]

[tex]\\ \rm\Rrightarrow z=-1/3[/tex]

Answer:

[tex] - \frac{844}{29} z[/tex]

Step-by-step explanation:

I hope to help

The growth of the town is an illustration of exponential growth function

The population of the town in 15 years is 125651

The given parameters are:

An exponential growth function is represented as:

y = a * (1 + r)^t

So, we have:

y =75000 * (1 + 3.5%)^15

Evaluate

y =125651

Hence, the population in 15 years is 125651

Read more about exponential functions at:

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Answer:

All are complementary angles

Step-by-step explanation:

See attachment

Answer:

x = 1/2

Step-by-step explanation:

28x + 1 = 32x - 1 <== subtract 28x from both sides

-28x      -28x

1 = 4x - 1 <== add 1 to both sides

+ 1      + 1

2 = 4x <== divide both sides by 4 to isolate the variable

/4   /4

1/2 = x

Hope this helps!

[tex] \Large{\boxed{\sf x = \dfrac{1}{2} }} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 28x + 1 = 32x - 1 [/tex]

[tex] \\ [/tex]

Subtract 28x from each side :

[tex] \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 [/tex]

[tex] \\ [/tex]

Add 1 to both sides:

[tex] \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x [/tex]

[tex] \\ [/tex]

Divide both sides by 4:

[tex] \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} [/tex]

[tex] \\ \\ [/tex]

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