Solve the system by substitution

Answer:

Answer:

Step-by-step explanation:

The height of the rock as it  reaches the ground is zero i.e f(t) = 0

Substitute into the function to get t first as shown;

f(t) = -2t^2 + 15.7t

0 = -2t^2 + 15.7t

2t^2 = 15.7t

2t = 15.7

t = 15.7/2

t = 7.85secs

Get the total distance travelled by substituting t = 7.85 into the modeled equation;

Recall that:

f(t) = -2t^2 + 15.7t

f(7.85) = -2(7.85)^2 + 15.7(7.85)

f(7.85) = -123.245+123.245

Hence the total distance travelled by the rock when it reaches the ground is 0m

Answer:

a=0

Step-by-step explanation:

Answer:

44=-1a

Step-by-step explanation:

32+5a=-8-4+4a

32+12=-5a+4a

44=-1a

Answer:

3.5 or 3 1/2

Step-by-step explanation:

Answer:$15.66

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

Calculation for What percentage is her salary

Using this formula

Dianes salary percentage=Car payments per year/Salary per year

Let plug in the formula

Dianes salary percentage=$2,880 per year/$32,000 per year

Dianes salary percentage=0.09*100

Dianes salary percentage=9%

Therefore the percentage of her salary is 9%

Answer:

3x^2-2x-1

Step-by-step explanation:

Here, we want to find (f + g)(x)

Mathematically, that will be f(x) + g(x)

= -4x + 3 + 3x^2 + 2x -4

= -2x-1 + 3x^2

= 3x^2-2x-1

Answer:

B

Step-by-step explanation:

It's B my guy

Answer:

B.)

Step-by-step explanation:

r= 130/2.5

130=r2.5

it would be 52 because you have to divide.... so you would divide 130 by 2.5 and then you would get 52. hope this helps.

Answer:

[tex]Perimeter = \frac{39t-4}{4}[/tex]

Step-by-step explanation:

Given

[tex]Lengths: (2\frac{1}{4}t - 5), (4t + 3), (1/2t - 1), (3t + 2)[/tex]

Required

Determine the perimeter

The perimeter is calculated as the sum of the lengths of the irregular shape.

i.e.

[tex]Perimeter = (2\frac{1}{4}t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)[/tex]

Remove brackets

[tex]Perimeter = 2\frac{1}{4}t - 5 + 4t + 3 + 1/2t - 1 + 3t + 2[/tex]

Collect Like Terms

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t - 5 + 3 - 1 + 2[/tex]

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t -1[/tex]

Convert mixed number to improper fraction.

[tex]Perimeter = \frac{9}{4}t +4t + 1/2t + 3t -1[/tex]

Take LCM

[tex]Perimeter = \frac{9t + 16t + 2t + 12t}{4} -1[/tex]

[tex]Perimeter = \frac{39t}{4} -1[/tex]

Take LCM

[tex]Perimeter = \frac{39t-4}{4}[/tex]  --- The perimeter of the shape

We want to find the perimeter of the irregular quadrilateral given that we know its lengths. By direct computation, we will get:

P(t) = (39/4)*t - 1

Remember that for any figure, the perimeter is defined as the sum of the lengths of each side.

Here we have that the lengths of the four sides of the quadrilateral are:

(2 1/4t - 5)

(4t + 3)

(1/2t - 1)

(3t + 2)

So we must sum that, we will get:

P = (2 1/4t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Notice that in the first part we have a mixed number, we can rewrite it as:

2 + 1/4 = 8/4 + 1/4 = 9/4

Then the sum is:

P = ((9/4)t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Now we simplify this sum:

P = (9/4 + 4 + 1/2 + 3)*t + (-5 + 3 - 1 + 2)

P = (39/4)*t - 1

So the perimeter, as a function of t, is:

P(t) = (39/4)*t - 1

If you want to learn more, you can read:

https://brainly.com/question/11971721

Step-by-step explanation:

Area of Square ABCD = 10m * 10m = 100m².

Answer:

Area of Square ABCD = 10m * 10m = 100m².

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Blank 1: 2

Blank 2: 7

Step-by-step explanation:

We can see that the starting value is 2, and the ratio is 7

Answer:

We conclude that the value of the constant of proportionality.

Step-by-step explanation:

We know that if 'y' varies directly with 'x', we use the equation

y ∝ x

y = kx

where 'k' is called the constant of proportionality.

Given the equation

y = 14x

comparing with the equation

y = kx

Thus,

k = 14

Therefore, we conclude that the value of the constant of proportionality.

Answer:

"Dubble" bought 10 rews for $2.00 each and 1 corazs for $8.00 each

-I put quotation marks on Dubble bc i didnt know if it was a boy or girl name sorryyy its.. um.. unique :)          -

Step-by-step explanation:

The price for the rews is 10x 2 because the price of each is $2 and he got 10 so he spent $20 on rews.

Then you subtract the total amount of money "Dubble" used buying these things and the amount of money "Dubble" used on the rews which is 32-20=8

The last step is that you divide 8 by the pice of each corazs which is 8 divided by 8 so the answer is 1.

Hope this helped you sorry im a little late bubs.<3

Answer:

D

Step-by-step explanation:

In order for the rug to be similar to the first rug, the measurements must have the same ratio as the original measurements.

Longer over shorter: 240/216 = 10/9

Let's look at A: 96/84 = 8/7 (NOT 10/9)

Let's look at B: 110/108 = 55/54 (NOT 10/9)

Let's look at C: 118/96 = 59/48 (NOT 10/9)

Let's look at D: 80/72 = 10/9 (= 10/9)

D is similar

Hope this helps!

Step-by-step explanation:

No we can't travel faster than speed of light as it is the fastest

Chlorophyll is a pigment that absorbs light of particular wavelengths (mainly blue and red) .Chlorophyll in green plants spread out on stacks of membranes in chloroplasts.

Dark matter ia a material that we cannot see but we know that it exists because of it's effect on the objects and it is composed of particles that do not absorb,reflect or emit light.

Answer:

1. Dark matter is material that don't seen directly, it neither absorb anything, neither reflect and emit light.

2. No there is nothing which can travel faster than light.

3. In simple language, chlorophyll is those pigment which is present in all green plants and mainly responsible for the process of photosynthesis

Step-by-step explanation:

1.We can say there is dark matter but the only problem is we don't have any access to see it.

2.there is nothing faster than light because speed of light and time doesn't exist beyond any point.

Answer:

10

Step-by-step explanation:

The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.

Answer:

65%

Step-by-step explanation:

it is 65%

Answer:

10.4 Inches

Step-by-step explanation:

26% * 40 = 10.4

Answer:

x = (c + 6b)/3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

-b + 3x = c + 5b

Step 2: Solve for x

Answer:

The solution lies at approximately (4.25,6.5).

Step-by-step explanation:

The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant. For the second equation, the estimate results in a value that is only 0.25 units away from the constant.

Answer:

Yes it is

Step-by-step explanation:

Answer:

y = [tex]\frac{-1}{4}[/tex]x - 3

Step-by-step explanation:

(4, -4) (-8, -1)

y = mx + b

equation for slop: [tex]\frac{y1 - y2}{x1 - x2}[/tex]

[tex]\frac{-4 + 1}{4 + 8}[/tex] = [tex]\frac{-3}{12}[/tex] = [tex]\frac{-1}{4}[/tex]

y = [tex]\frac{-1}{4}[/tex]x - 3

8 = 2³ and 32 = 2⁵, so

√(8) = √(2²•2) = 2√(2)

√(32) = √(2⁴•2) = 2²√(2) = 4√(2)

Then

1/√(2) + 3/√(8) + 6/√(32)

= 1/√(2) + 3/(2√(2)) + 6/(4√(2))

= 4/(4√(2)) + 6/(4√(2)) + 6/(4√(2))

= 16/(4√(2))

= 4/√(2)

Optional step: Rationalize the denominator by multiply this by √(2)/√(2) to get

4/√(2) • √(2)/√(2) = (4√(2))/2 = 2√(2)

which you can also write as √(8).

Answer: (x,y) —> (x-6, y+4)

Step-by-step explanation:

Answer:

(x,y) —> (x-6, y+4)

Step-by-step explanation:

:)

Answer:

x^2-3x-10

Step-by-step explanation:

Answer:

The answer is x²-3x-10

Step-by-step explanation:

(x + 2)(x − 5)

x²-5x+2x-10

x²-3x-10

Answer: -8

Step-by-step explanation:

If we add 5 to -8, that will be -3. Then if we multiply -3 with -2, it equals 6 because when two negatives multiply with one another the answer will be positive.

So in conclusion, the number is -8.

Hope this helps!

Answer:  This is not a right triangle.

the squares of the two shorter sides must add to the equal the square of the longest side.

a² + b² = c²

Step-by-step explanation:

5² + 5² ?=? 12²

25 + 25 ≠ 144

50 ≠ 144   So this is not a right triangle.

Answer:

the answer is 48m^2!

Step-by-step explanation:

Answer:

The answer is 35299.88. Hope this helps