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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+198x+148

Answer:

4, -4

Step-by-step explanation:

I think the first equation is ax + 3y = 2, not az + 3y = 2.

ax + 3y = 2

4x + 5y = 6

To use elimination, you need the coefficients of a to either add to zero, or to have a difference of zero if you subtract them.

a + 4 = 0

a = -4

a - 4 = 0

a = 4

Answer: a must be 4 or -4.

Answer:

-4 and 4

Step-by-step explanation:

Given linear system:

[tex]ax+3y=2[/tex]

[tex]4x+5y=6[/tex]

In order to solve the given linear system by elimination without multiplying first, [tex]a[/tex] must be either -4 or 4.  That way, when you add or subtract the equations, the variable [tex]x[/tex] will be eliminated.

when [tex]a = -4[/tex]:

[tex]\large\begin{array}{ l r c c l r}& -4x & + & 3y & = & 2\\+ & 4x & + & 5y & = & 6\\\cline{1-6}& & & 8y & = & 8\\\cline{1-6}\end{array}[/tex]

when [tex]a = 4[/tex]:

[tex]\large\begin{array}{ l r c c l r}& 4x & + & 3y & = & 2\\- & 4x & + & 5y & = & 6\\\cline{1-6}& & & -2y & = & -4\\\cline{1-6}\end{array}[/tex]

Answer:

if 10 minutes was added each day 30 minutes is how long it would extend in 3 days

Answer:

294 inches squred

Step-by-step explanation:

3 x 10 = 30

3 x 9 = 27

10 x 9 = 90

2(30) + 2(27) + 2(90) = 294

Answer:

x = 40

Step-by-step explanation:

Preform the opposite opposite operation to get x by itself.

  -80 = -120 + x

+ 120   +120

    40  =  x

Answer:

answer

Step-by-step explanation:

Answer is, 40

A function assigns the values. The function is f(x) = (8x - 8)/(x² + 2x).

A function assigns the value of each element of one set to the other specific element of another set.

A rational function has a denominator and a numerator.

Vertical asymptotes are x-values that the function approaches but never touches. By setting the denominator to zero, we may discover the vertical asymptotes.

Since the vertical asymptote is x=-2 and x=0,  our denominator of the function will be

x(x+2) = x²+2x

Horizontal asymptotes are y values that the function approaches but never touches. Because the horizontal asymptote is y=0, the numerator's degree must be less than the denominator's degree. And because the x-intercept is equal to one, our numerator will be

x - 1

At the moment, The function can be assumed to be,

f(x) = (x - 1)/(x²+2x)

Next, we need to use the condition f(2)=1.   If we plug in x=2, f(x) should equal 1. But we need to multiply the right side of the function by some constant C.

The condition f(2)=1 must then be applied. If we substitute x=2, f(x) should equal 1. However, we must multiply the right side of the function by a constant C.

1 = C(2 - 1)/(2²+2(2))

Solve for C.

1 = C / 8

8 = C

So the function will be

f(x) = [8(x - 1)] / [(x² + 2x)]

f(x) = (8x - 8) / (x² + 2x)

Hence, the function is f(x) = (8x - 8)/(x² + 2x).

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Tan65°=h/75m

2.1445 × 75 = h

h = 160.83

Step-by-step explanation:

This is very very simple

Answer:

x = 2

Step-by-step explanation:

3x + 5y = -9 ___(1)

y = 2x - 7

Substituting y's value in (1) ..

3x + 5( 2x - 7) = -9

3x + 10x -35 = -9

13x = -9 + 35

13x = 26

x = 26/13

x = 2

Its 0.92

Sure hope this helsp you :D

Answer:

d

Step-by-step explanation:

(8x)^2 = (2x)^2 + y^2

64x^2 - 4x^2 = y^2

60x^2 = y^2

y = 2x√15

Answer:

215,00.

Step-by-step explanation:

Average price = 22500

18000*2 + 28000 + 27000 + x = 22500*5

91000 + x = 112500

X = 21500

Answer:

R215,00

Step-by-step explanation:

Let x = amount the 5th music shop charges for the strings

[tex]\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]

[tex]\implies \sf 225=\dfrac{180+180+280+270+x}{5}[/tex]

[tex]\implies \sf 225\cdot 5=910+x[/tex]

[tex]\implies \sf 1125=910+x[/tex]

[tex]\implies \sf x=1125-910[/tex]

[tex]\implies \sf x=215[/tex]

Therefore, the fifth music shop charged R215,00 for the strings.

Answer:4/10 =2/5

Step-by-step explanation:

you subtract the numerator but the denominator stays the same. I then found a number that could be divided into both numbers and got 2/5.

Answer:

[tex] \sqrt{3} [/tex]

Goodluck

Answer:

[tex]\sqrt 3[/tex]

Step-by-step explanation:

[tex]\tan 60^{\circ} = \dfrac{\sin 60^{\circ}}{\cos 60^{\circ}} = \dfrac{\tfrac{\sqrt 3}2}{\tfrac 12} = \dfrac{\sqrt 3}2 \cdot 2 = \sqrt 3[/tex]

Answer:

7 goldfish

Step-by-step explanation:

10-3=7

Answer:

10-3=8

i think

Answer:

b) 25x² - 1

Step-by-step explanation:

→ (5x + 1)(5x - 1)

→ 25x² + 5x - 5x - 1

→ 25x² - 1

Thus, option (b) is the answer.

Answer:

123-456-789

Step-by-step explanation:

es la suprimeral

Answer:

the value of x must be -2 . ie option b

Answer:

x-1=-x²+2x+5

-x²+(2x-x)+(5+1)=0

-x²+x+6=0

(x-3)(x+2)

x=3 or x=-2

Answer: 23

Step-by-step explanation:

By the alternate exterior angles theorem, [tex]4x-11=x+58 \longrightarrow x=\boxed{23}[/tex]

Answer:

115.86

Step-by-step explanation:

[tex]\sf Simplified[/tex] ⇒ -2h

_______________________

_______________________

Answer:

Step-by-step explanation:

The explanation of the problem is  shown in the attached figure.

AS shown in the  graph:

At t = 0 the speed = 4 miles/h then decrease to the speed = 2 miles/h during the first 3 seconds then increased to 5 miles/h during the next 2 seconds, then it became constant at 5 miles/h for the last 5 seconds.

So, the correct option is:

A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.

Answer:

Has infinite solutions

Explanation:

-x + 5y = -3..... eq1

2x - 10y = 6 .... eq2

===============

make x the subject in equation 1

-x + 5y = -3

-x = -3 - 5y

x = 5y + 3

========= insert this in equation 2

2(5y + 3) - 10y = 6

10y + 6 -10y = 6

6 = 6

So, Has infinite solutions as L.H.S = R.H.S

Answer:

11x^2+4x-6

Step-by-step explanation:

Can't tell if its asking for the values of x, but thats the final expression^

Answer:

11[tex]x^{2}[/tex]+4x-6

Step-by-step explanation:

Answer:

D. 5(x + 3)(x - 3)

Step-by-step explanation:

a² - b² = (a + b) (a - b)

5(x + 3)(x - 3)

5(x² - 9)

(5x² - 45)

5x² - 45

Option D is correct, the factored form of the expression  5x² - 45 is 5(x+3)(x - 3)

An expression is combination of variables, numbers and operators.

The given expression is 5x² - 45

Five times of x square minus forty five

x is the variable and minus is the operator

Let us take 5 common from the expression to find the factor form

5(x² - 9)

5(x² - 3²)

Now we know that a² - b²  = (a+b)(a-b)

5(x+3)(x-3)

Hence, the factored form of the expression  5x² - 45 is 5(x+3)(x - 3)

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Answer: 6 red and 7 blue

Step-by-step explanation:

Cut in half the amount of each balloon

Answer:

47/4 but you can simplify it to 11 3/4

Step-by-step explanation:

11 is the whole number and 75 is 3/4ths of 1 or another whole number.

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Explanation:

Count the number of leaves marked in green.

There are 2+3+5+3 = 13 leaves total. This represents tickets were sold on 13 days.

Each stem and leaf combines to form a different ticket count. For instance, the stem of 1 and leaf of 8 combine to get the value 18. So 18 tickets were sold on that particular day.

Answer:

Question 1

Cost per 10,000 Popsicle sticks = $725.20

⇒ Single Popsicle stick = 725.20 ÷ 10000 = $0.07 (nearest cent)

Question 2

Cost per 1,000 motherboards = $8,730

⇒ Cost of Single motherboard = 8730 ÷ 1000 = $8.73

Cost per 10 motherboards = $100

⇒ Cost of Single motherboard = 100 ÷ 10 = $10

Difference = 10 - 8.73 = $1.27

Question 3

Create a table with the cost per 1 unit:

[tex]\begin{array}{| c | c | c | c |}\cline{1-4} \sf PART & \sf COST\:PER\:1\:of\:10 & \sf COST\:PER\:1\:of\:1000 & \sf COST\:PER\:1\:of\:10000\\\cline{1-4} \sf Motherboard & \$10.00 & \$8.73 & \$7.04 \\\cline{1-4} \sf Processor & \$5.00 & \$1.25 & \$0.63 \\\cline{1-4} \sf Popsicle & \$0.10 & \$0.09 & \$0.07 \\\cline{1-4} \sf Motor & \$4.50 & \$0.18 & \$0.04 \\\cline{1-4} \sf Sensor & \$6.30 & \$4.54 & \$3.18 \\\cline{1-4} \sf Small\:gear & \$1.00 & \$0.80 & \$0.70 \\\cline{1-4} \end{array}[/tex]

From inspection of the table, the Motor saves the most money per unit when 10,000 is bought, since the difference between the cost of 1 unit is the greatest for this part.

Question 4

Cost of 1100 motherboards

= cost of 1000 +  cost of 10 x 10

= 8730 + 100 x 10

= 8730 + 1000

= $9,730

Question 5

Cost of 12050 sensors

= cost of 10000 + cost of 1000 x 2 + cost of 10 x 5

= 31752 + 4536 x 2 + 63 x 5

= 31752 + 9072 + 315

= $41,139

Answer:

yes, it form a proportion...