(3x*4+2x^3–5)=(x+4) using synthetic division.

Answer:

Step-by-step explanation:

The absolute value of any number is always positive. There are no exceptions when you are referring to a number inside |  | . So - 9 becomes 9. which is not equal to 5 and it is not less than 5.

9>5 is the answer.

Answer:

$64

Step-by-step explanation:

$40/5yards=$8

Thus, each yard must earn Jackson $8.

$8*5y=$40

8 yards would give him $64.

$8*8y=$64

Answer:

C. \(x=\frac{3}{2} , y=\frac{1}{2}\)

Step-by-step explanation:

Both of the equations would equal to one another since they're both solving for "y".

Steps:                                     Plug in x into one of the equation:

\(-x+2=3x-4\)                       \(y=3(\frac{3}{2} )-4\)                  

\(-3x+4\)  \(-3x+4\)                         \(=\frac{9}{2} -4\)

------------------------                        \(=4.5-4\)    

\(-4x+6=0\)                               \(y=0.5 or \frac{1}{2}\)

       \(-6\)   \(-6\)

------------------

\(\frac{-4x}{-4} =\frac{-6}{-4}\)

\(x=\frac{3}{2}\)

\(x=\frac{3}{2} , y=\frac{1}{2}\)

Answer:

thats not easy

Step-by-step explanation:

Answer:

-17 and -1

Step-by-step explanation:

The parent would have to earn at least $4.166

$2,475 * 12 months = $29,700

$4,000 savings goal to the family's yearly income

$29,700 + $4,000 = $33,700

yearly income for second parent

80 hours/month * 12 months = 960 hours/year

If offer of daycare is accepted

$33,700 (total income) - $29,700 (first parent's income)

= $4,000

$4,000 / 960 hours = $4.166

this is the minimum wage

The parent would have to earn at least $4.166

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The solution to the system of inequalities is the region where the shaded area below the line y = -6x and above the line y = 2x + 3 overlap.

First, let's solve the inequality y ≤ -6x. We draw a dashed line with a slope of -6 and y-intercept at the origin (0, 0). Since it's a less-than-or-equal-to inequality, we shade the region below the line.

Next, we solve the inequality -9y > 2x + 3. We rearrange it to y < (-2/9)x - 1/3. We draw a dashed line with a slope of -2/9 and y-intercept at (0, -1/3). Since it's a greater-than inequality, we shade the region above the line.

The overlapping shaded region represents the solution to the system of inequalities. The area below the line y = -6x and above the line y = 2x + 3 satisfies both inequalities. This region represents the values of x and y that make both inequalities true.

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Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Answer:

$150012.84 or $150013 rounded

The growth factor is 1.07

Step-by-step explanation:

First create the equation:

y=1.07x+150,000

Then substitute:

y=1.07(12)+150,000

Calculate:

y=150012.84

Lets do

\( \\ \sf \longmapsto \: 3(x + 5) - 7 = 2(x +2) \\ \\ \sf \longmapsto \: 3x + 15 - 7 = 2x + 4 \\ \\ \sf \longmapsto \: 3x + 8 = 2x + 4 \\ \\ \sf \longmapsto \: 3x - 2x = 4 - 8 \\ \\ \sf \longmapsto \: x = - 4\)

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Answer: D

D-infinitely many

Step-by-step explanation:

Took the Analyzing Solutions quiz on Edge 2020

Answer: D

D-infinitely many

Step-by-step explanation:

Edge 2020

The area of the triangle is proportional to the distance of point P from the line containing points A and B. The area of the triangle is independent of the coordinates of points A and B.

Triangle can be defined in which it consists of three sides, three angles and the sum of three angles is always 180 degrees.

To find the area of the triangle formed by the points A(3, 0), B(0, 3), and P(a, b), we can use the formula for the area of a triangle:

Area = 1/2 * base * height

where the base is the distance between points A and B, and the height is the perpendicular distance from point P to the line containing points A and B.

The distance between points A and B is:

AB = √((3-0)² + (0-3)²)

= √(18) = 3√(2)

To find the height, we can first find the equation of the line containing points A and B:

slope of AB = (3-0)/(0-3) = -1

midpoint of AB = ((3+0)/2, (0+3)/2) = (3/2, 3/2)

Using the point-slope form of a line, the equation of the line containing points A and B is:

y - (3/2) = -1(x - 3/2)

y = -x + 3

The height of the triangle is the perpendicular distance from point P to this line. Using the formula for the distance between a point and a line, the height is:

height = |b + a - 3| / √(2)

So the area of the triangle is:

Area = 1/2 * AB * height

= 1/2 * 3 √(2) * |b + a - 3| / √(2)

= 3/2 |b + a - 3|

Therefore, the correct statement(s) about the area of the triangle are:

The area of the triangle is 0 if point P is on the line containing points A and B. The area of the triangle is minimum when point P is the midpoint of the line segment AB.

Therefore, The area of the triangle is proportional to the distance of point P from the line containing points A and B. The area of the triangle is independent of the coordinates of points A and B.

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Answer:

(c)

Step-by-step explanation:

d + 90° = 125° ⇒ d = 35°

The answer is in the attachment below. For every relation with an "aquatic blue" color letter "F", that is a function. And for every "red" color letters "NF", the relations is not a function.

Answer:

x = 6.9168 or x = 7

Step-by-step explanation:

Hope that helps :)

The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance

The parameters that will help us to determine the graph are

Decorations for the dance cost $80,

The club is charging $10 per student that attends

This forms a linear equation:

y = mx + b

y = 10x - 80

Plotting the graph:

That is the full solution of the equation

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Answer:

The answer to a.) is 3/5

The answer to b.) is 4/5

Step-by-step explanation:

First you add all the number of marbles together, then you take any of the number of marbles, make a fraction, then simplify.

Hopes this helps.

Answer:

y=x+5

Step-by-step explanation:

it is not a proportional relationship and it starts at 5 and the slope is 1 so just x

Answer:

your answer is C

Step-by-step explanation:

I solved this quick enough bc the y Intercept is 5 and the only answer that has that is C. you can also solve this by graphing every equation shown until you find which equation has a similar graph. also don't feel sorry. this is a place for us all to learn :)

In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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After answering the provided question, we can conclude that This is a contradiction because 49 does not equal 61. As a result, the triangle isn't a right triangle.

A triangle is a confined, double-symmetrical instrument that consists of three line segments called sides that meet at three points called vertices. Triangles can be identified by their lengths and angles. Based on their sides, triangles can be quadrilateral (equal factions), isosceles, or scalene. Triangles can be acute (all angles less than 90 °), okay (one angle equal to 90 degrees), or ovate (all angles greater than 90 °) (all angles greater than 90 degrees). A triangle's region can be determined by applying the equation A = (1/2)bh, where a represents the neighborhood, b represents the triangle's base, and h represents the triangle's height.

To determine whether the triangle is a right triangle, we must first see if the Pythagorean theorem is satisfied, which states that the sum of the squares of the two shorter sides equals the square of the longest side in a right triangle (the hypotenuse).

Let us label the triangle's sides as follows:

The longest side is the one opposite the right angle.

A and B are the other two sides.

Using Pythagorean theorem, we get:

\(c^2 = a^2 + b^2\\7^2 = 5^2 + 6^2\\49 = 25 + 36\\49 = 61\)

This is a contradiction because 49 does not equal 61. As a result, the triangle isn't a right triangle.

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I can't add a photo but, put the dot near the -7 point. ( Don't get mad if it's wrong I'm not totally sure to be honest. )

Explain: I doubled the x axis that goes up to 8 so I doubled it by two to get 16 and multiplied 4x4 which equals 16 I subtracted 16 - 16 and  got zero after I subtracted 7 and got -7

Answer:

n=3 then open bracket

Step-by-step explanation:

3n-(2+n)

=3x4-(2+4)

=12-6

=6

Answer:

2 cups

Step-by-step explanation:

Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

The probability that a randomly selected Manhattan resident spends New Year's Eve at Times Square, given that the resident is out of town on New Year's Eve, is 0.

If the resident is out of town on New Year's Eve, it implies that they are not present in Manhattan during that time. Therefore, it is not possible for them to spend New Year's Eve at Times Square if they are not in town.

Since the resident is out of town, the probability of them being at Times Square on New Year's Eve is zero. Probability is a measure of the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain). In this case, the event of a resident being at Times Square on New Year's Eve is impossible because they are out of town.

Hence, the probability of a randomly selected Manhattan resident spending New Year's Eve at Times Square, given that they are out of town on New Year's Eve, is 0.

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{3k = 126}}\)

\(\huge\boxed{\textsf{\bf DIVIDE 3 to BOTH SIDES}}\)

\(\huge\boxed{\mathsf{\dfrac{3k}{3}= \dfrac{126}{3}}}}\)

\(\huge\boxed{\mathsf{\bf CANCEL\ out: \dfrac{3}{3}\ because\ it\ gives \ you\ 1}}}\)\(\huge\boxed{\bf KEEP: \dfrac{}{}\ because\ it\ answers\ for\ the\ }\\\huge\boxed{\bf k-value}\)

\(\huge\boxed{\mathsf{k = \dfrac{126}{3}}}\\\huge\boxed{\mathsf{\dfrac{126}{3} = k}}\)

\(\huge\boxed{\textsf{\bf SIMPLIFY ABOVE}}\)

\(\huge\boxed{\mathsf{Therefore, your \ answer \ is: k = 42}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)