−3(4x−2)=21−4(1+4x)
solve for x

Answer:

[tex]N = { \tan }^{ - 1} \frac{6}{7} [/tex]

The correct answer is D.

Answer:D

Step-by-step explanation: The vertex is (-1, -3), and since it's in terms of y, the y-coordinate is in the parentheses. D is the only choice with -3 as the y-coordinate.

The equation of the parabola with vertex (-1, -3) is y = a(x + 1)^2 - 3.

The equation of a parabola in vertex form is y = a(x - h)^2 + k, where the vertex is (h, k). In this case, the vertex is (-1, -3), so the equation could be y = a(x + 1)^2 - 3. The coefficient a determines the shape of the parabola.The vertex of a parabola is the point where the parabola crosses its axis of symmetry.   If the coefficient of the x2  term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape.  If the coefficient of the x2 term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.

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To solve the system of equations, start by isolating one variable in one equation. Substitute the value of the variable into the other equation, and solve for the remaining variable. The solution to the system of equations is x = 118/17 and y = -42/17.

To solve the given system of equations:

4x - 5y = 10

-x - 8 = 3y

Therefore, the solution to the system of equations is x = 118/17 and y = -42/17.

Final answer:

The solution to the system is x = -10/7 and y = -22/7.

Explanation:

To solve the given system of equations, 4x-5y=10 and -x-8=3y, we can use the method of substitution or elimination. Let's use the substitution method:

Step 1: Solve one equation for one variable in terms of the other. From the second equation, we can rearrange it to get x in terms of y: x = 3y + 8.

Step 2: Substitute the expression for x in terms of y into the other equation.

Substituting 3y + 8 for x in the first equation gives us 4(3y + 8) - 5y = 10.

Step 3: Simplify and solve for y.

Expanding the equation and solving for y gives us 12y + 32 - 5y = 10.

Combining like terms yields 7y + 32 = 10.

Subtracting 32 from both sides gives us 7y = -22.

Dividing both sides by 7 gives us y = -22/7.

Step 4: Substitute the found value of y back into the equation x = 3y + 8 to solve for x.

Substituting -22/7 for y gives us x = 3(-22/7) + 8.

Simplifying the expression gives us x = -66/7 + 56/7, which equals -10/7.

Therefore, the solution to the system of equations is x = -10/7 and y = -22/7.

Answer:

$188.50

Step-by-step explanation:

i got this answer by dividing $1,508 by 8 and you would get 188.5 which would turn into $188.50 and that is how much each person would get.

I hope this helps.

Answer:

height  = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Step-by-step explanation:

We know that the volume of a rectangular prism is the product of its base area and height

Volume_prism = area_base *  height

height =  Volume_prism /  area_base

Volume_prism  = (x^3 – 3x^2 + 5x – 3)

area_base = (x^2 – 2)

height =  Volume_prism /  area_base

height  = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Please see attached image

Answer:

The answer is A

Step-by-step explanation:

The way that you get this answer is by divided x2 to x3 and you get x and then you multiply x to x2-2 and you get x3-2x and the you subtract that from x3-3x2+5x-3 and then you repeat that process and the final answer is x-3 + 7x-9/x2-2

Answer

Domain of the function:

In interval notation: [6, ∞)

In set notation: {x: x∈R, x≥6}

Explanation

Remember that the the domain of the square root function are all the  values such is is bigger than zero. We can express the later in set notation: {x: x∈R, x≥0}, or in interval notation: [0, ∞)

This is because the square root is not defined, in the real numbers, for negative values.

So, to find the domain of our function, we just need to set the thing inside the radical grater or equal than zero and solve for x:

The domain of the function is all the numbers bigger than 6, including 6.

Answer:

[6, infinity (use the symbol)

Step-by-step explanation:

i got this answer by graphing

Answer:

y = -2/3x + 2

Step-by-step explanation:

2x + 3y = 6 to y = mx + b form.

1. Subtract 2x from both sides.

3y = -2x + 6

2. Divide each side by 3.

y = -2/3x + 2

Answer:

y = -2/3x + 2

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

y------> the total cost

x------> the number of shirts

we know that

The linear equation is

[tex]y=1.50x+4.50[/tex] ------> equation of the line

To graph the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Find the y-intercept

For x=0

[tex]y=1.50(0)+4.50=4.50[/tex]

The y-intercept is the point (0,4.50)

Find the x-intercept

For y=0

[tex]0=1.50x+4.50[/tex]

[tex]1.50x=-4.50[/tex]

[tex]x=-4.50/1.50=-3[/tex]

The x-intercept is the point (-3,0)

Plot the intercepts to graph the line

see the attached figure

x2 + 5x + 6 = 0

(x + 2)(x + 3) = 0

x = -2 or -3

Answer:

x = - 3, x = - 2

Step-by-step explanation:

Given

x² + 5x = - 6 ( add 6 to both sides )

x² + 5x + 6 = 0 ← in standard form

(x + 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

Answer:

Option D. [tex]40[/tex]

Step-by-step explanation:

Let

x------>the greatest possible value  

we know that

If four people write the number zero, then the average will be

[tex]8=(0+0+0+0+x)/5\\ \\40=0+x\\ \\x=40[/tex]

Answer: 36

Step-by-step explanation:

Answer:

See attachment

Step-by-step explanation:

The given parametric equations are;

[tex]x=2t[/tex] and [tex]y=t+5[/tex], [tex]-2\le t\le 3[/tex].

We can graph this by plotting some few points within the given range or eliminate the parameter to identify the type of curve.

Plotting points;

When [tex]t=-2[/tex],

[tex]x=2(-2)=4[/tex] and [tex]y=-2+5=3[/tex]

This gives the point (-4,3).

When [tex]t=0[/tex]

[tex]x=2(0)=0[/tex] and [tex]y=0+5=5[/tex]

This gives the point (0,5).

When [tex]t=3[/tex]

[tex]x=2(3)=6[/tex] and [tex]y=3+5=8[/tex]

This gives the point (6,8).

We plot these points and draw a straight line through them.

Eliminating the parameter.

[tex]x=2t[/tex]

[tex]y=t+5[/tex]

Make t the subject in the second equation;

[tex]t=y-5[/tex]

Substitute into the first equation;

[tex]x=2(y-5)[/tex]

This implies that;

[tex]x=2y-10[/tex]

[tex]y=\frac{1}{2}x+5[/tex]

This is an equation of a straight line with slope [tex]\frac{1}{2}[/tex] and y-intercept 5 on the interval

[tex]-4\le x \le 6[/tex]

Answer:

The answer is in attachment

Step-by-step explanation:

First step finde a function t(x) ⇒ t=x/2;

Now we need to finde the limits of that function:

if t=-2 ⇒ x=-4 and t=3 ⇒ x=6. That means -4≤x≤6

Now replace on y(t) ⇒ y(x)= x/2+5, 4≤x≤6

yes, 0.64 is a rational number. it can be expressed as the fractions 64/100, 32/50, 16/25.

Answer:

yes 0.64 is a rational number

Step-by-step explanation:

1) 0.64 = 64/100

2) Divide by 4

64 divided by 4 is 16 (Numerator)

100 divided by 4 is 25 (Denominator)

3) 16/25

It is a rational number because it can be written as a fraction.

Hopes this helps!

Answer:

B) translation 2 units to the right

B) reflection across the y-axis

Step-by-step explanation:

If you move ABCD over to the right by 2, then reflect it over the y axis. Then you get the A'BCD.

ABC goes through a sequence of transformations to form A'B'C'. The sequence of transformations involved are

B) translation 2 units to the right  and followed by a

B) reflection across the y-axis

This can be explained by using the graph and the definition of transformation

Thus, from the graph it is clear that the sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.

Learn more about transformations here:

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The answer is 7.3 mi I think

Answer:

$5

Step-by-step explanation:

25/5=5

$5

Wouldn’t it be 5$ a person to pay for a car wash? Because if you think of it this way they made 25$ and it cost 5$ so you would take 25 divided by five . Please correct me if I’m wrong

[tex] - 4 - (( - 4 + 6) \div ( - 2))( - 5) = \\ = - 4 - (2 \div ( - 2))( - 5) = \\ = - 4 - ( - 1)( - 5) = - 4 - 5 = \\ = - 9[/tex]

The answer is M-5

See the image

Answer:

D

Step-by-step explanation:

The answer is D, since there is no correlation in the data (meaning that it is scattered all over the plot with no pattern or anything).

ANSWER

The correct choice is C.

EXPLANATION

The given graph has vertical asymptote at x=1.

Therefore , the denominator of the function represented by the graph should be 1-x

The graph also has a horizontal asymptote at y=-6. The numerator should be of the form

b+6x,

where b is a constant.

So that the horizontal asymptote will be

[tex]y = \frac{6}{ - 1} = - 6[/tex]

Our rational function now becomes

[tex]y = \frac{b + 6x}{1 - x} [/tex]

The function also has a y-intercept of 3,

[tex]3 = \frac{b + 6(0)}{1 - 0} = b[/tex]

Therefore the required function is

[tex]y = \frac{3 + 6x}{1 - x} [/tex]

Answer:

K is the best estimate.

Step-by-step explanation:

This is just common sense, not much math.

J: No, that is smaller than an essential oils bottle, which is as tall as a finger.

K: Probably, the range is from the size of a medicine bottle to a small/medium water bottle.

L: No, that much is the size of a bottle of detergent.

M: No, that much water is 6 kg.

answer is: a number to the third power divided by ten. pls mark brainliest!!

Answer: The correct answer is 9.

Step-by-step explanation: In order to solve this problem you need to divide the 45 books by the 5 book shelves. 45 / 5 = 9. Divided equally, there will be 9 books on each shelf.

[tex]45 \div 5 = 9[/tex]

Aisha can place 9 books on each shelf.

Answer:

it is b

Step-by-step explanation:

B.) The area is 3 times greater I think

The triangle was only rotated. The size did not change, so the corresponding angles would remain identical.

Because C is 28 degrees C' would also be 28 degrees.

Words you can make with the word SONG:

Snog

Nogs

Answer:

35x6=210

Step-by-step explanation:

The 5 in 35 and times that by 6 is 30. So the ones place is 0.

Set aside the 3 and do 3x6 which is 18. but add 3 is 21. So the answer is 210.

Answer:

The answer is 420 people.

Step-by-step explanation:

Over the course of two days, the play was performed 6 times. So multiply 6 times 2 to get 12. The play was performed a total of 12 times in two days. Now multiply 12 times the number of maximum people who watched on both days to get 420.

We first would divide the Pentagon into two shapes, one a square and the other a triangle. To find the height of the triangle we must minus the 15cm to the 10cm, which gives us 5cm.

5cm= height of triangle

7cm= base of triangle

Then, apply the area of triangle formula

which is: A=(b×h)÷2

so the area would be 17.5cm squared.

For the square, 10= height and the 7=base

The formula for rectangles is:

A=b×h

so, the area is 70cm squared.

if you want the total area add the two area together, which equals 87.5cm squared.

I hope this helps.

To find the area of each figure, we can use different formulas depending on the shape. If the figure is a square or rectangle, we can use the formula A = length x width. If the figure is a circle, we can use the formula A = πr², where r is the radius.

To find the area of each figure, we can use different formulas depending on the shape. If the figure is a square or rectangle, we can use the formula A = length × width. If the figure is a circle, we can use the formula A = πr², where r is the radius. For triangles, we can use the formula A = ½base × height. For irregular shapes, we can approximate the area by breaking it down into simpler shapes and summing up their areas.

Let's say we have a square with side length 5 cm. Using the formula A = length × width, the area would be A = 5 cm × 5 cm = 25 cm². If we have a circle with a radius of 2 cm, using the formula A = πr², the area would be A = 3.14 × 2 cm × 2 cm = 12.56 cm² (rounded to the nearest tenth).

Answer:

Option b. [tex]h=21.6\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle FGH

The function cosine of angle F is equal to divide the adjacent side angle F by the hypotenuse

[tex]cos(F)=\frac{FG}{FH}[/tex]

substitute the values and solve for h

[tex]cos(35\°)=\frac{h}{26.4}[/tex]

[tex]h=(26.4)cos(35\°)=21.6\ units[/tex]

Answer:

Step-by-step explanation:

(x-1)(x+2)/x^2(x-1)+2(x-1)

(x-1)(x+2)/(x-1)(x^2+2)

(x+2)/(x^2+2)

Answer:

[tex]\frac{(x+2)}{(x^2+2)}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}[/tex]

To simplify the given expression , factor both numerator and denominator

Numerator : [tex]x^2+x-2[/tex]

Product is -2 and sum is +1. factors are 2 and -1

[tex]x^2+x-2=(x+2)(x-1)[/tex]

Denominator : [tex]x^3-x^2+2x-2[/tex]

Group first two terms and last two terms

Factor out GCF from each term

[tex](x^3-x^2)+(2x-2)[/tex]

[tex]x^2(x-1)+2(x-1)[/tex]

[tex](x^2+2)(x-1)[/tex]

Replace the factors in the given expression

[tex]\frac{(x+2)(x-1)}{(x^2+2)(x-1)}[/tex]

Cancel out x-1 at the top and bottom

[tex]\frac{(x+2)}{(x^2+2)}[/tex]

Answer:

[tex]p=6b[/tex]

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of rectangle is equal to

[tex]P=2(x+y)[/tex]

[tex]P=p\ cm[/tex]

so

[tex]p=2(x+y)[/tex] -----> equation A

[tex]y=b\ cm[/tex] ----> given problem

[tex]x=2y[/tex] -------> [tex]x=2b\ cm[/tex]

substitute the value of x and the value of y in the equation A

[tex]p=2(2b+b)[/tex]

[tex]p=2(3b)[/tex]

[tex]p=6b[/tex]