Which model completes this equation?
= ?

Answer:

y - 3 = -2(x + 2)

Step-by-step explanation:

You have a point and a slope so you put it in point slope form. The formula for  point slope form is y - y1 = m(x - x1).

m is slope

Combining like terms yields 7x⁵ - x³ - x² + 4x.

The inequality that represents the temperatures at which the gas in the truck will remain in liquid form is;  -40°F < x < 140°F

A)  x is the temperature, and the temperature can't go down to -40°F and so x is greater than -40°F so that the gas doesn't freeze. Finally, x can't go higher than 140°F because the gas will evaporate. Thus, the inequality that represents the temperatures at which the gas in the truck will remain in liquid form is;

-40°F < x < 140°F

B) Open interval of the graph would mean that the interval is from -40°F to < 140°F. However, not equal to means that the gas in the truck can't stay liquid and as such means the coordinate is (-40°F, 140°F)

C) The gas will freeze because it has been said in the question the gas freezes at -40°F and as such if it goes -49°F, then it will freeze because the gas is supposed to stay higher than -40°F.

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Answer:

2/9

Step-by-step explanation:

set: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (18 numbers)

factors of 6: 1,2,3,6 (4 numbers)

probabilty that the number is a factor of 6: 4/18 = 2/9

∠LMN is an obtuse angle.

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

Explanation

Let's go through the answer choices to see which are true, and which are false.

Solution

For this case we can verify the answer using the point x= 0 if we replace we got:

y=8 cos (pi/40* 0) = 8 cos (0) = 8

y= -8 sin (pi/40 *0)= -8 sin(0) = 0

y= -8cos(pi/40*0)= -8 cos (0)= -8

y= 8 sin (pi/40 *0)= 8 sin(0) = 0

Then the correct option would be:

y= -8cos(pi/40*0)

Answer:

  0.12 g/cm³

Step-by-step explanation:

Density is the ratio of mass to volume. The volume of the brownie is the cube of its side dimension:

  V = s³ = (5 cm)³ = 125 cm³

Then the density is ...

  ρ = M/V = (15 g)/(125 cm³) = 0.12 g/cm³

The density of the brownie is 0.12 g/cm³.

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

5(2x - 8) + 15 = -15

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -15 does indeed equal -15.

∴ x = 1 is the solution to the equation.

Answer: x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2x−8)+15=−15

Step 1: Simplify both sides of the equation.

5(2x−8)+15=−15

(5)(2x)+(5)(−8)+15=−15(Distribute)

10x+−40+15=−15

(10x)+(−40+15)=−15(Combine Like Terms)

10x+−25=−15

10x−25=−15

Step 2: Add 25 to both sides.

10x−25+25=−15+25

10x=10

Step 3: Divide both sides by 10.

10x/10=10/10

Answer:

Yes it is correct

Step-by-step explanation:

Answer:

looks like it :) - so YES

Step-by-step explanation:

pls mark brainliest, nice work btw

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

Answer:

Step-by-step explanation:

Scale  factor

Size of each garden bed on the drawing

Actual size

Area of one garden bed

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

The Equation of the tangent line is y = 4x - 1.

According to the statement

We have to find that the equation of the tangent of the line.

So, For this purpose, we know that the

Equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

From the given information:

f(x) = 3 X at (1, 3)

Then

The tangent line of a curve y = f(x) is a line that touches the curve at a point (x0, y0). Its slope (m) is found by substituting the point where it is drawn in the derivative f'(x) and its equation is found by using y - y0 = m (x - x0).

From the given it is clear that the slope of the equation is a 3.

Then m = 3

then

y – y1 = m (x – x1)

Substitute the points here

y - 3 = 4(x - 1)

Then

y = 4x - 4 +3

y = 4x - 1.

So, The Equation of the tangent line is y = 4x - 1.

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Answer:

730.055m

Step-by-step explanation:

(sorry if wrong)

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

Answer:

\(\dfrac{-8}{x+3}\)

Step-by-step explanation:

We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".

Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.

So, we can write it as follows :

\(\dfrac{-8}{x+3}\)

Hence, this is the required solution.

Answer:

9000

Step-by-step explanation:

Answer:

$191.25

Step-by-step explanation:

multiply 255 dollars by 25 percent, and then divide the answer by one hundred, then deduct that result from the original price.

(255 x 25)/100 = $63.75

255 - 63.75 = $191.25

Answer:

17.32

Step-by-step explanation:

since there is a 5 in the thousandths, we round the 1 in the hundredths up and get 17.32

The probability of the sample mean being less than 25.3 is given as follows:

0.9713 = 97.13%.

The sample mean would not be considered unusual, as it has a probability that is greater than 5%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)

The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:

Z = (25.3 - 25)/0.1576

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

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The length of rectangle is 20cm and width is 12cm.

Let the length is x cm and width is y cm.

then perimeter 2(x+y) =64 cm

=> x+y = 64/2 = 32

=> x + y = 32 .............(1)

and according to question twice the width is 4cm more than length so,

2y = x + 4

=> 2y -x = 4 .............(2)

now we add these two equation to find the value of x and y.

3y = 36

=> y = 12

now put the value of y on any equation to find value of x ,

x +12 = 32

=> x = 32 -12 = 20

so, the length of rectangle is 20cm and width is 12cm.

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The solution of "quadratic-equation" , 3x² - 6x + 2 = 0 is (b) x = (3 ± √3)/3.

A "Quadratic-Equation" is defined as a second-degree polynomial equation of the form : ax² + bx + c = 0,

where x = variable, and "a", "b", and "c" are constants, with a ≠ 0.

We use the "quadratic-formula" to solve : which is ⇒ x = (-b ± √(b²-4ac))/(2a),

In the quadratic equation "3x² - 6x + 2 = 0", We get , a = 3, b = -6, and c = 2.

Substituting the values,

we get,

⇒ x = (-(-6) ± √((-6)²-4(3)(2)))/(2×3),

⇒ x = (6 ± √(36-24))/6,

⇒ x = (6 ± √12)/6,

⇒ x = (6 ± 2√3)/6,

⇒ x = (3 ± √3)/3,

So the two roots of the quadratic equation 3x² - 6x + 2 = 0 are : x = (3 + √3)/3 and x = (3 - √3)/3.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Find the solution of the given quadratic equation , 3x² - 6x + 2 = 0.

(a) x = 3 ± 23√3

(b) x = (3 ± √3)/3

(c) x = 6 ± 43√3

(d) x = 6 ± 23

Using the binomial distribution, it is found that:

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

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Answer:

sqrt(172) = hypotenuse

Step-by-step explanation:

IF those are the leg lengths (sides) and not the hypotenuse, then use Pythagorean theorem

c^2 = 7^2 + sqrt (123) ^2

c = sqrt (172)

If sqrt 172 is the hypotenuse :

(sqrt123)^2 = 7^2 + x^2

then  x = sqrt (74 )

Answer:

x + 3.5

Step-by-step explanation:

You are adding

hopefully this helps you:)

Answer:

b

Step-by-step explanation:

The reciprocal of 2 1/2 is C. 2/5.

It should be noted that the given fraction based on the information is 2 1/2.

We will change it to an improper fraction.

This will be:

2 1/2 = 5/2

Therefore, the reciprocal will be:

1 ÷ 5/2

= 2/5

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What is the reciprocal of 2 1/2?

a. 3/2. b. 2/1. c. 2/5