In each equation below, the letter x stands for an unkn
number x stands for. Write down exactly how you do it
1.
X/5=7

Answer:

30°

Step-by-step explanation:

the total angels of the triangle is 180

180-75-75=30

and since the Angle of 30 and x^0 are Head opposite angles , then x^0 = 30°

She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The rational expression is given in the question as:

\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)

Divide the leading term of the dividend by the leading term of the divisor:

\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)

Write down the calculated result in the upper part of the table.

Multiply it by the divisor

\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

Thus, Jason made a mistake in multiplying 2x²+1 by -2x².

Hence, the correct answer would be option (B).

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The triangle is rotated 270° counterclockwise using below steps.

Step 1 :

Triangle is inverted in this case by 270 degrees. The rule that must be used in this situation is

(x, y) -----> (y, -x)

Step 2 :

We must locate the vertices of the rotated figure based on the rule presented in step 1.

Step 3 :

(x, y) ----> (y, -x)

K(-4, -4) ----> K'(-4, 4)

L(0, -4) ----> L'(-4, 0)

M(0, -2) ----> M'(-2, 0)

N(-4, -2) ----> N'(-2, 4)

Step 4 :

Vertices of the rotated figure are

K' (-4, 4), L' (-4, 0), M '(-2, 0) and N' (-2, 4)

Therefore, the triangle is rotated 270° counterclockwise.

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this is what you need?if yes than look and write

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

x^2 + x = 12

Step-by-step explanation:

(x - 3)(x + 4) = 0

x^2 + 4x - 3x - 12 = 0

x^2 + x - 12 = 0

x^2 + x = 12

The quadratic equation that has the roots x = 3 and x = −4 will be x²+x-12=0.

Any equation using the formula ax² + bx + c = 0 When x is a variable and a, b, and c are any real values; a quadratic equation is one where a≠0.

It is given that the quadratic equation that has the roots x = 3 and x = −4.

We know that one such equation is provided by x²-(a+b)x+ab=0 if a and b are the roots of a quadratic equation.

x²-(a+b)x+ab=0

Substitute the value of an as 3 and b as -4.

x²-(3-4)x+(3)(-4)=0

x²-(-1)x-12=0

x²+x-12=0

Thus, the obtained quadratic equation will be x²+x-12=0.

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On a parallelogram, the diagonals intersect at their midpoints. Then, each segment of a diagonal must have the same length. Then:

Solve for each variable from the corresponding equation:

Answer:

3

Step-by-step explanation:

Who cares? just copy down the answer.

Answer:

The question is invalid. Please provide a diagram.

y = 7x + 15 is the equivalent equation of the line in slope intercept form.

The equation of a line in slope intercept form is expressed according to the equation below:

y = mx + b

where:

m is the slope

b is the intercept

Given that slope is a 7 with the point (-1, 8), the equation is;

y - 8 = 7(x+1)

In slope intercept form:

y - 8 = 7x + 7

y = 7x + 7 + 8

y = 7x + 15

Hence the equation in slope- intercept form is y = 7x + 15

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Answer:

like 29%

Step-by-step explanation:

there are 4 male freshmen out of 4+6+2+2=14 total males and 4/14 is like 28.5714... and so you round

Answer:

(0, -7) i think

hope this helps :3

sorry if im wrong

Answer:

s^2u^2−5stu+6t^2

Step-by-step explanation:

Answer:

6t^2-5tsu+s^2u^2

Step-by-step explanation:

Answer:

Hello,

Just using the theorem of Thalès,

Step-by-step explanation:

Let say h the hight of the building

\(\dfrac{h}{3} =\dfrac{42.75}{1.23}\\\\h=104.268296...\approx{104(m)}\)

Answer:

the correct answer is -1/16 i believe

Answer:

z^138 and z^×2183 is the answer

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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The answer to this question: B

The given transformation is 8 units left.

The pre-image vertices are A(1,-4), B(1,-6), C(5,-6), and D(5,-4).

Using the transformation, we have:

The image below shows the graph of the image

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Answer:

Step-by-step explanation:

This should help I hope

the definite integral of f(x) over the interval [5, 7] is (-5 / 600).

How to find?

The given function is:

f(x) = 1 / (x² + 10x + 25)

To find the definite integral of this function over the interval [5, 7], we can use the following steps:

Rewrite the function using partial fraction decomposition:

f(x) = 1 / (x² + 10x + 25)

= 1 / [(x + 5)²]

Using partial fraction decomposition, we can write this as:

f(x) = A / (x + 5) + B / (x + 5)²

where A and B are constants to be determined. Multiplying both sides by the common denominator (x + 5)², we get:

1 = A(x + 5) + B

Setting x = -5, we get:

1 = B

Setting x = 0, we get:

1 = 5A + B

= 5A + 1

Solving for A, we get:

A = 0

Therefore, the partial fraction decomposition is:

f(x) = 1 / [(x + 5)²]

= 0 / (x + 5) + 1 / (x + 5)²

Use the formula for the definite integral of a power function:

∫ xⁿ dx = (1 / (n + 1))× x²(n + 1) + C

where C is the constant of integration.

Using this formula, we can find the antiderivative of the function 1 / (x + 5)²:

∫ 1 / (x + 5)² dx = -1 / (x + 5) + C

Evaluate the definite integral over the interval [5, 7]:

∫[5,7] 1 / (x + 5)² dx

= [-1 / (x + 5)] [from 5 to 7]

= (-1 / 12) - (-1 / 10)

= (-5 / 600)

Therefore, the definite integral of f(x) over the interval [5, 7] is (-5 / 600).

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The length of side x of the pyramid is equal to 47 inches.

Given the following data:

To determine the length of side x of the pyramid, we would apply Pythagorean's Theorem:

Pythagorean theorem is a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right triangle.

Mathematically, Pythagorean's Theorem is given by this formula:

\(c^2 = a^2 + b^2\)

Where:

Substituting the given parameters into the formula, we have:

\(x^2=2^2 +46.5^2\\\\x^2=4+2162.25\\\\x^2=2166.25\\\\x=\sqrt{2166.25}\)

x = 46.54 ≈ 47 inches.

b. To find the length of the support:

Since the support is altitude (y) to the hypotenuse of the right-angled triangle, we have:

Length = \(\frac{12 \times \sqrt{47}} {47}\)

Length = 1.75 ≈ 2 inches.

c. The support would attach to base of the hypotenuse of the plywood, which is the triangle formed by altitude (y) to the hypotenuse of the right-angled triangle.

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Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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