using substitution, how do you solve the simulateous equations y=3x+2 and y=x+6 ?

Answer:

The riders experience free fall for about 3.12 seconds.

Step-by-step explanation:

Find t when  h = 105

105= [tex]-16t^{2} +256[/tex]

0= [tex]16t^{2}[/tex] +160

0 = -16([tex]t^{2}[/tex]-10)

[tex]t^{2}[/tex] - 10 = 0

[tex]t^{2}[/tex] = 10

[tex]t = \sqrt{10}[/tex]

The riders experience free fall for about 3.16 seconds.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find how long the riders experience free fall, we need to find the time when the height is 105 feet above the ground.

So, we need to solve the equation:

-16t² + 265 = 105

Adding 16t² to both sides, we get:

16t² = 160

Dividing both sides by 16, we get:

t² = 10

Taking the square root of both sides, we get:

t = ±3.16

Since we are only interested in the positive value of t, we can round 3.16 to the nearest hundredth to get:

t = 3.16 seconds

Therefore,

The riders experience free fall for about 3.16 seconds.

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Answer:

5.0 times 10 Superscript 6

Step-by-step explanation:

What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline?

This is represented mathematically as:

1.6 × 10¹⁴/ 3.2 × 10⁷

Solving for this

1.6 × 10¹⁴/ 3.2 × 10⁷

= [1.6/3.2] × 10¹⁴-⁷

= 5 × 10⁶

= 5.0 times 10 Superscript 6

Answer:

the answer is C) 5.0 x 10^6

Step-by-step explanation:

just took the test on edge 2021

Answer:

See below.

Step-by-step explanation:

Area (rectangle) = Area (square)

6 x 10 = s²

s² = 60

s = √60

s = 2√15 cm

Perimeter

= 4s

= 4 x 2√15

= 8√15 cm

Answer:

Step-by-step explanation:

$39 plus the amount of money Grace had spent, $36.

39 + 36 = 75.

That gets rid of the "39 less than" part. But in order to find out how much money Emily spent you need to triple 75.

75 x 3 = 225

Therefore, x = 225 or $225 was the amount that Emily spent.

Hope this helps! ^u^

Brainliest please.

Answer:

950

Step-by-step explanation:

Not gonna lie I kinda stole yo answer other person deserves all the credit

Answer:

x = 24

Step-by-step explanation:

First, substitute x = -6y into the top equation:

-6y + 3y = 12

-3y = 12

Divide both sides by -3, and you get:

y = -4

Now, you plug in the y value to the second equation:

x = -6(-4)

x =24

Given :

[tex]{ \longrightarrow\qquad \sf x + 3y = 12 \: –––– \sf \: (i)}[/tex]

⠀

[tex]{ \longrightarrow\qquad \sf x = - 6y \: –––– \sf \: (ii)}[/tex]

⠀

(i) – (ii) we get :

⠀

[tex]{ \longrightarrow \qquad \sf \: {x + 3y -x = 12 - ( - 6y)}}[/tex]

⠀

[tex]{ \longrightarrow \qquad \sf \: { \cancel{x} + 3y \: \cancel{ - \: x }= 12 + 6y}}[/tex]

⠀

[tex]{ \longrightarrow \qquad \sf \: { 3y - 6y = 12 }}[/tex]

⠀

[tex]{ \longrightarrow \qquad \sf \: { - \: 3y = 12 }}[/tex]

⠀

[tex]{ \longrightarrow \qquad \sf {- \: y = \dfrac{12}{3} }}[/tex]

⠀

[tex]{ \longrightarrow \qquad \bf \: { y = - \: 4 }}[/tex]

⠀

Now, Substituing the value of y in equation (i) :

⠀

[tex] \longrightarrow \qquad \sf{x + 3( - 4)= 12}[/tex]

⠀

[tex] \longrightarrow \qquad \sf{x - 12= 12}[/tex]

⠀

[tex] \longrightarrow \qquad \sf{x = 12 + 12}[/tex]

⠀

[tex]\longrightarrow \qquad \bf{x = 24}[/tex]

⠀

Therefore,

Answer:

x= f/b + 10/b

Step-by-step explanation:

f and b is one fraction + 10 and b is the other fraction

Answer:

5 5/8

Step-by-step explanation:

1. you need to make the whole number a fraction so turn it into 9/1

2. multiply straight across

3. currently it's 45/8, you need to divide

4. divide 45/8 once

5. your answer of 5 5/8

Hi!

First, let's write 9 as a fraction:

[tex]\bold{\displaystyle\frac{9}{1}}[/tex]

Now multiply:

[tex]\bold{\displaystyle\frac{9}{1} *\frac{5}8} }[/tex]

multiply 9 times 5 and 1 times 8:

[tex]\bold{\displaystyle\frac{45}{8} }}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{5\frac{5}{8} }}}[/tex] (as a mixed number)

Hope everything is clear.

Let me know if you have any other questions; if so, please use the comment section.

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The mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.

The mean credit score is the ratio of sum of all the credit score to the number of different credit scores.

Ned is looking over his credit scores. The different score is in his credit score are,

The sum of all the score is,

[tex]\sum \rm score=690+691+651\\\sum \rm score=2032[/tex]

There are total 3 scores. Thus the mean credit score is,

[tex]m=\dfrac{2032}{3}\\m\approx677[/tex]

Hence, the mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.

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Answer:

A. 677

Step-by-step explanation:

That is his mean credit score, i got it right on edge

Answer:

less than

Step-by-step explanation:

a pint is 2 cups so 8 cups is 4 pints

yw

Answer:

88

Step-by-step explanation:

[tex]\sqrt{(64)(121)}\\\sqrt{64} \sqrt{121} \\(8)(11)\\88[/tex]

The square root of 64×121 is 88.

Square root is a factor of a number that, when multiplied by itself, gives the original number.

According to the given question

We have to find the square root of 64 × 121

The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2

And the prime factorization of 121 is 11 × 11.

Therefore the square root of 64 × 121 is given by

[tex]\sqrt{(64)(121)} =\sqrt{(2)(2)(2)(2)(2)(2)(11)(11)} = (11)(2)(2)(2)=88[/tex]

Hence, the square root of 64×121 is 88.

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Answer:

29 weeks or 4 months (not exactly)

Step-by-step explanation:

300/10.5 is 28.57

which 29 weeks, you earn 4 dollars and 50 cents left over

Answer:

[tex]Time = 17.143\ mins[/tex] -- When going

[tex]Time = 40\ mins[/tex] -- When coming back

Step-by-step explanation:

Given

[tex]Speed\ to = 7mi/hr[/tex]

[tex]Speed\ from = 3mi/hr[/tex]

[tex]Distance = 2\ mi[/tex]

Required

Determine time taken to your friend's house

Determine time taken from your friend's house

Distance is calculated as:

[tex]Time = \frac{Distance}{Speed}[/tex]

From the question, we understand that:

[tex]Distance = 2\ mi[/tex]

When going:

[tex]Speed\ to = 7mi/hr[/tex]

So, we have:

[tex]Time = \frac{2mi}{7mi/hr}[/tex]

[tex]Time = \frac{2}{7}hr[/tex]

Express in Minutes

[tex]Time = \frac{2}{7} * 60[/tex]

[tex]Time = \frac{120}{7}[/tex]

[tex]Time = 17.143\ mins[/tex]

When coming back:

[tex]Speed\ from = 3mi/hr[/tex]

[tex]Time = \frac{2mi}{3mi/hr}[/tex]

[tex]Time = \frac{2}{3}hr[/tex]

Express in Minutes

[tex]Time = \frac{2}{3} * 60[/tex]

[tex]Time = \frac{120}{3}[/tex]

[tex]Time = 40\ mins[/tex]

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 10&15\\ 40&x \end{array}\implies \cfrac{10}{40}=\cfrac{15}{x}\implies \cfrac{1}{4}=\cfrac{15}{x}\implies x=60[/tex]

Answer:

$21

Step-by-step explanation:

if 10% is $15 then 40%*$15 is $21

Answer:

The midpoint is 7/2 -9/2

Step-by-step explanation:

The formula for finding the midpoint of a line is

This means the formula for the x-coordinate of the midpoint is , and the formula for the y-coordinate of the midpoint is .

First, let's find the x-coordinate of the midpoint:

Add the two x values of the coordinates given, then divide that by two.

Next, let's find the y-coordinate of the midpoint:

Add the two y values of the coordinates given, then divide that by two.

Therefore, the midpoint of the line segment is . Hope this helps!

Answer:

48

Step-by-step explanation:

there is 4 stacks of 12 coins

4x12=48

Answer:

x = 45°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 8 ( number of sides of an octagon ) , then

sum = 180° × 6 = 1080°

the interior angles of a regular octagon are congruent , so

∠ ABC = 1080° ÷ 8 = 135°

x and 135° are adjacent angles on a straight line and sum to 180° , then

x = 180° - 135° = 45°

Answer:

A ratio is defined as the comparison of one size of a number to the size of another number. A most convenient number to use when comparing numbers is 100. Ratios in which one number is compared to 100 are called percents. The word percent comes from the Latin word per centum.

Convert to fraction (mixed number): 2.75 = 2 + 0.75

Convert to decimal: 275% = 2.75

Problem: Convert 275% to a decimal and to a simplified fraction

The triangle above can be solved using cosine rule, the value of a using cosine rule is approximately 18.5

The side can be found using cosine formula for triangles.

a² = b² + c² - 2bc cos A

where

a = ?

b = 8 units

c = 14 units

Therefore,

a² = 64 + 196 - 2 × 8 × 14 cos 112

a² = 260 - 224 cos 112

a² = 260 + 83.9118769252

a = √343.9118769

a = 18.5448611993

a = 18.5

Therefore, the value of a is approximately 18.5

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Answer:42 x27

Step-by-step explanation:Calculate how much paint and primer you need by entering the dimensions of your room below. Estimate how many gallons are needed based on average paint/primer coverage. Optionally, include ceiling paint in your estimate.

The number of gallons that are needed will be 6 gallons.

The number of gallons of paint that will be needed in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet will be:

= (27 × 42) / 200

= 1134 / 200

= 5.67

= 6 gallons.

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Answer:

[tex]2x-3y[/tex]

Step-by-step explanation:

Apply the distributive property by multiplying the outside to both terms on the inside:

[tex]-\frac{1}{4}[/tex] of -8x is equal to 2x

[tex]-\frac{1}{4}[/tex] of 12y is equal to 3y.

El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.

Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.

Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.

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Answer:

it takes 3 days for the crew to make one house

Answer:

19.6

Step-by-step explanation:

35% of 56

=35/100×56      

19.6

hope this helps

pls brainliest!!!!!

Answer:

19.6 is the answer

Step-by-step explanation:

35%of 56

35/100×56

19.6 answer

Answer:

x=−8

Step-by-step explanation:

(5)(x)+(5)(−2)+74=−3x

5x+64=−3x

8x+64=0

8x=−64

x=−8

Answer:

da answer iz equals to -8

Answer:

Your answer is: A) x^3-9x^2+14x+24

Multiply each term in the first expression by each term in the second expression and combine like terms.

Step-by-step explanation:

Hope this helped : )

Answer:

f(7) = 16

Step-by-step explanation:

substitute x = 7 into f(x) , that is

f(7) = 3(7) - 5 = 21 - 5 = 16

Answer:

Dilate circle A by a scale factor of 4. (c)

Step-by-step explanation:

HOPE THIS HELPS!!!

The steps will help show that circle A is similar to circle B is Dilate circle A by a scale factor of 4.

The correct option is (C).

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Circle A has center of (0, 4) and a radius of 6

circle B has a center of (−3, 5) and a radius of 24.

The radius of circle A is 6 cm and radius of circle B is 24 cm, which 4 times the radius of circle A.

We know, Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

This transformation produces an image that is the same as the original shape.

Thus, Dilate circle A by a scale factor of 4.

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