Solve using substitution.
y = 3x – 6.
y = 2x – 1

Answer:

y=-4x+10

Step-by-step explanation:

you subtract 4x on both sides

Answer:

The correct answer is option 2: 32 cm

Step-by-step explanation:

Let l be the length of the picture frame and w be the width

Then according to given statements, the system of equations will be

[tex]2l+2w = 100\ \ \ Eqn\ 1\\w = 2l-4\ \ \ Eqn\ 2[/tex]

Putting w = 2l-4 in equation 1

[tex]2l+2(2l-4) = 100\\2l+4l-8=100\\6l-8 = 100\\6l = 100+8\\6l=108\\\frac{6l}{6}=\frac{108}{6}\\l = 18[/tex]

Putting the value of l in equation 2

[tex]w = 2(18)-4\\w = 36-4\\w = 32[/tex]

The width is 32 cm

Hence,

The correct answer is option 2: 32 cm

Answer:

Step-by-step explanation:

Answer:

If you were to get a different piece of paper and trace the same shape and flip it over to the same position that one of them is in it will be the exact same measurements!

We are not given the radius of the circle or any other relevant data, so I assumed the radius of the circle r=5

Answer:

The y-coordinate of Q is 3

Step-by-step explanation:

Circles and Lines

The figure below shows a circle of radius r=5 and a segment that goes from the center of the circle to a point of the circumference, where x=4.

We can find the y-coordinate of that point by using Pithagora's theorem:

[tex]r^2=x^2+y^2[/tex]

Solving for y:

[tex]y^2=r^2-x^2[/tex]

[tex]y^2=5^2-4^2[/tex]

[tex]y^2=25-16=9[/tex]

[tex]y=\sqrt{9}=3[/tex]

The y-coordinate of Q is 3

Answer:

you mean 2.5?????? in two quart????

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

[tex]c(x) = 600x {}^{2} + 300x[/tex]

monthly revenue:

[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]

profit function:

[tex]p(x) = r(x) - c(x)[/tex]

[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]

i) remove the first bracket

[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]

iii) collect like terms

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]

iv) simply the like terms

[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]

Answer:237 . 12

Step-by-step explanation:

pleas give me a BRAINLY pleas

Answer:

y = 4[tex](3)^{x}[/tex]

Step-by-step explanation:

For an exponential function in the form

y = a [tex]b^{x}[/tex]

Use the given points to find the values of a and b

Using (1, 12), then

12 = ab → (1)

Using (2, 36), then

36 = ab² → (2)

Divide (2) by (1)

[tex]\frac{36}{12}[/tex] = [tex]\frac{ab^2}{ab}[/tex] , then

3 = b

Substitute b = 3 into (1) for value of a

12 = 3a ( divide both sides by 3 )

4 = a

Thus

y = 4[tex](3)^{x}[/tex] ← is the exponential function

The value of constant of variation is, 5.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

⇒ p varies jointly as q and the cube of r.

Since, p varies jointly as q and the cube of r.

Hence, We can formulate;

⇒ p = k × q × r²

Where, k is constant of variation.

Here, p = 270 when q = 6 and r = 3.

Substitute all the values, we get;

⇒ p = k × q × r²

⇒ 270 = k × 6 × 3²

⇒ 270 = 54k

⇒ k = 270 / 54

⇒ k = 5

Learn more about the proportion visit:

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Answer:

Good for Lily.

Step-by-step explanation:

Answer:

d. a combination of operations on letters and numbers

Step-by-step explanation:

b is a variable and c can be all sort of things

Answer:

D. a combination of operations on letters and numbers.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

228/12=19

Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Step 5: Solve for y

Answer:

Step-by-step explanation:

x^2 - 11x + 30 = (x - 6)(x - 5)

x^2 - 4 = (x + 2)(x - 2)

x^2 + 3x - 40 = (x + 8)(x - 5)

x - 2 = x - 2

Invert and multiply the right fraction.

(x - 6)(x - 5)           (x - 2)

===========   x   =======

(x - 2)(x + 2)          (x + 8)(x - 5)

x - 5 on the top cancels with x - 5 on the bottom

x - 2 on the top  cancels with x - 2 on the bottom left

So what's left?

(x - 6)

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

(x + 2)(x + 8)

This is likely the answer.

Answer:

[tex]\frac{x-6}{x^{2} +10x+16}[/tex]

Step-by-step explanation:

to much to explain

Answer:

is it g(x) = 350(1.04)x − 1

or is it this- > g(x) = 350[(1.04)x − 1]

Step-by-step explanation:

well 350 is the initial quantity and we can write the expression like this- g(x)=350(1+0.4)x−1 so here g(x) is the amount received after x years 350 is the original amount 0.4 corresponds to rate of increment

Answer:

0.85

Step-by-step explanation:

Answer:

75.23=10.27x

Step-by-step explanation:

Around 7 months

Answer:

45

Step-by-step explanation:

6² + 3²

36 + 9

45

Follow me please

Answer:

865

Step-by-step explanation:

the trip is 865 miles so that is how many miles he will drive

Answer:

the correct graph is B

Step-by-step explanation:

to check, you can see that my graph and graph in answer B both intersects at (-1,2)

Answer:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

-----

4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0

-----

Factor:

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

-----

[2cos(x)-1][2sin(x)+sqrt(3)] = 0

Solve:

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi

hope this helps!

Answer:

x = +/-pi/3 or x = -pi/3 or (4/3)pi

Step-by-step explanation:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

4sinxcosx - 2sinx + 2sqrt(3)cosx - sqrt(3) = 0

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

[2cos(x)-1][2sin(x)+sqrt(3)] = 0

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi

Answer:

Step-by-step explanation:

Divide the numbers

12+153⋅6−412+153⋅x6−412+315​⋅x6−412+56−412+5x6−4 12+5x6−4

Answer:

[tex]-2a^3+a^2-14a +8[/tex]

Step-by-step explanation:

Given

[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]

Required

Simplify

[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]

Collect Like Terms

[tex]-8a^3+6a^3-a^2+2a^2-8a-6a-9+1[/tex]

[tex]-2a^3+a^2-14a +8[/tex]

Answer:

1) 0.99348

2) 0.55668

Step-by-step explanation:

Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises

When given a random number of samples, we use the z score formula:

z-score is z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.

For x > 160 lb

z = 160 - 172/29/√36

z = 160 - 172/29/6

z = -2.48276

Probability value from Z-Table:

P(x<160) = 0.0065185

P(x>160) = 1 - P(x<160) = 0.99348

(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

For x = 170 lb

z = 170 - 172/29/√81

z = 170 - 172/29/9

z = -0.62069

Probability value from Z-Table:

P(x = 170) = 0.2674

For x = 175 lb

z = 175 - 172/29/√36

z = 175- 172/29/6

z = 0.93103

Probability value from Z-Table:

P(x = 175) = 0.82408

The probability that they have a mean weight between 170lb and 175lb is calculated as:

P(x = 175) - P(x = 170)

0.82408 - 0.2674

= 0.55668

Answer:

sorry

Step-by-step explanation:

What is probability? Put simply, it is the chance of an event occurring. Probability is often expressed in quantifiable terms as either a percentage or a decimal: for example, the chance of a coin landing as heads is 50% . It is impossible to be certain you can correctly predict whether the coin will land heads or tails, which makes the act of flipping the coin a random event. We can however, calculate the probability of the coin landing heads or tails.

The probability that a random selected microprocessor from Intel will not malfunction 98.8% or 0.988

Given that Intel's microprocessors have a 1.2 % chance of malfunctioning

The chance or probability of happening ant event  A is given by equation (1)

[tex]\rm Probability\; of \; happening \; of \; event \; A = P(A).........(1) \\The \; Probability \; of \; same \; event \; not \; happening = P(\bar A) = 100 - P(A) ........(2) \\Where \; P(A) \; is\; expressed \; in \%[/tex]

Let one Intel microprocessor be selected at random then from equations (1) and (2) we can write that

P( Malfunctioning of Intel's microprocessor) + P( Non malfunctioning of Intel's microprocessor) = 100 %

According to the given situation  From equations (1) and (2) we can write that

[tex]\rm 1.2\% + P( Non\; malfunctioning\; of \; Intel's\; microprocessor) = 100\% \\ \\ P( Non \; malfunctioning\; of \; Intel's\; microprocessor) = 100\% - 1.2 \% \\P( Non \; malfunctioning\; of \; Intel's\; microprocessor) = 98.8\% = 0..988[/tex]

So we can conclude that the probability that a random selected microprocessor from Intel will not malfunction 98.8% or 0.988

For more information please refer to the link given below

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