Answer:
a = -27
Step-by-step explanation:
-2⁄3 a − 6 = 12
add 6 to both sides:-
-2/3 a -6 + 6 = 12 + 6
-2/3 a = 18
Now multiply each side by -3/2:-
a = 18 * -3/2 = -54/2
= -27
To solve the equation -2⁄3 a - 6 = 12 for 'a', add 6 to both sides of the equation and then multiply both sides of the equation by -3/2 to isolate the variable 'a'. The value of 'a' that satisfies the equation is a = -27.
Explanation:To solve the equation -2⁄3 a - 6 = 12 for 'a', we can start by isolating the variable on one side of the equation. First, let's add 6 to both sides of the equation:
-2⁄3 a - 6 + 6 = 12 + 6
-2⁄3 a = 18
Next, we can multiply both sides of the equation by -3/2 to get:
(-3/2)(-2/3 a) = (-3/2)(18)
a = -27
The value of 'a' that satisfies the equation -2⁄3 a - 6 = 12 is a = -27.
find the unit rate: earn $33 for 4 hours of work
33/4 = 8.25 per hour.
What is the distance between (2,-6) and (-4,8)
Hi there! :)
Step-by-step explanation:
[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{8-(-6)}{(-4)-2}=\frac{14}{-6}=\frac{14}{-6}[/tex]
Slope is 14/-6
Final answer is 14/-6
Hope this helps!
-Charlie
Have a nice day! :)
:D
Thanks!
As a financial consultant, the CFO of a major television company has shared the profit function P(x) = −x4 - 2x3 + 21x2 + 22x − 40 with you which models the profit of the company based on the number of commercials , x, they air in a 24-hour period. DESCRIBE the appearance of the graph to the CFO. Use complete sentences, and focus on the end behaviors of the graph and how to use the function P(x) to find where the company will break even (where P(x) = 0).
Answer:
The company will break even at x=1 and x=4.
Step-by-step explanation:
The given profit function is
[tex]P(x)=-x^4-2x^3+21x^2+22x-40[/tex]
Where, x is number of commercials.
Use synthetic division or long division to find the factors of the function.
[tex]P(x)=(x-1)(x^3+3x^2-18x-40)[/tex]
[tex]P(x)=(x-1)(x+2)(x^2+x-20)[/tex]
[tex]P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)[/tex]
Equate P(x)=0, to find the break even points.
[tex]-(x - 4) (x - 1) (x + 2) (x + 5)=0[/tex]
Use zero product property and equate each factor equal to zero.
[tex]x=4,1,-2,-5[/tex]
Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.
The higher degree of the function is even and the leading coefficient is negative. So,
[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty[/tex]
[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty[/tex]
Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).
Therefore the company faces huge loss when the number of commercials increases unboundly.
The graph of the function is given below.
Find -3/7 ÷ -1 1/4 please
Answer:
Step-by-step explanation:
(-3/7)*(-4/11)
12/77
Answer:
=-12/7 or -1.71429....
Step-by-step explanation:
Find 49 divided by 7 please
Explicit formula for the sequence 7,2,-3,-8
Answer:
Step-by-step explanation:
The common difference of the sequence is -5
Since the difference is -5
a_n= 7+(n-1)(-5)
a_n = 7-5n+5
a_n = 12-5n
Plz help on these problems.
Answer:
see below
Step-by-step explanation:
1) 4
2) 1 or -1
y=-3x-5 and y=−10x-9 Round to the nearest hundredth.
please help will give brainlist
Answer:
It would be B, Both are linear because the slope is a normal number like 4&-5)
Step-by-step explanation:
They are both linear because they are straight lines.
Answer:
Equation A is nonlinear and Equation B is linear.
If its wrong please tell me and I'll see what i did wrong. Please and Thank you!
Hope this is helpful!
write this polynomial in descending form 5x3 + 2x + 7x5
The polynomial 5x3 + 2x + 7x5 written in descending form is 7x5 + 5x3 + 2x, organized from the highest to the lowest power of x.
To write the polynomial 5x3 + 2x + 7x5 in descending form, arrange the terms in order from the highest power of x to the lowest. The given polynomial has the terms with powers of 5, 3, and 1. Organizing the polynomial in descending order of the exponents gives us:
7x5 + 5x3 + 2x.
As we can see, the term with the highest exponent, 7x5 (degree 5), comes first, followed by 5x3 (degree 3), and lastly the term with the lowest degree, 2x (degree 1).
What is the sum of ¾ + ⅔ in simplist form
Answer:
The answer is 17/12
Step-by-step explanation:
3/4 + 2/3
= 9/12 + 8/12
= 9 + 8/12
= 17/12
We must find the common denominator.
The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...
The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...
The common denominator is 12.
[tex]\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}[/tex]
Therefore:
[tex]\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}[/tex]
Answer: 17/12 = 1 5/12Can some solve this
[tex]200 > 4.50 + 35[/tex]
[tex]\bf 200 > 4.50x+35\implies 165 > 4.50x\implies \cfrac{165}{4.50}>x\implies \cfrac{110}{3}>x[/tex]
which is about 36.67 > x.
perpendicular and angle bisector
I believe you are asking for the answer choices to the lesson Perpendicular and Angle Bisectors U6 L2. Here are the answers for it:
1. B
2. C
3. A
4. C
5. C
to rent office space for your business, you must pay a one time fee of $1000 and pay rent of $800 per month.
A. Write a linear model that represents the total cost of renting office space as a function of number of monthd you will rent.
B. Find the total cost of renting office space for 6 months.
Answer:
Step-by-step explanation:
a) y=800x+1000=800(12)+1000
b)y=1000x (15 months)
Answer:
Linear model is given as
Total cost of renting = 1000 + n(800)
Total cost of renting for 6 months = $5800
Step-by-step explanation:
The linear model can be represented as follows ;
The one time fee = $1000
monthly fee = $ 800
Total cost of renting = 1000 + n(800)
n = number of month you will rent
Total cost of renting office space for 6 months can be computed using the model.
Total cost of renting = 1000 + n(800)
where n = 6 months
Total cost of renting for 6 months = 1000 + 6(800)
Total cost of renting for 6 months = 1000 + 4800
Total cost of renting for 6 months = $5800
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the area of a regular hexagon with the given measurement. apothem A =
Answer: we need the measurements
Step-by-step explanation:
Point( -2 -1) and is perpendicular to the graph of y equals negative 2/3 x + 6. line n is parallel to line M and passes through point (4,-3). which is the equation of line and in slope intercept form
Answer:
I don't know I don't know I don't know I don't know
As a clinical trials monitor, you recruit subjects for a new study. You want 175 subjects per group for 3 groups. How many subjects should you recruit for the whole study?
Please helppp ASAP!!
Answer:
Part A
(5x+4)+(6x-9)=11x-5
part (B)
(5x+4)(6x-9)
30x²-45x+24x-36
30x²-21x-36
part (c)
m[n(x)]=m(6x-9)+4=30x-45+4=30x-41
Step-by-step explanation:
What’s the question mark
Answer:
? = 30
Step-by-step explanation:
If the triangles are similar, then the only way I see this working is the sides measuring 63 and 54 are corresponding. The sides measuring 56 and 48 are corresponding. That leaves the sides measuring 35 and ? corresponding.
Set up a proportion.
63/54 = 35/?
63? = 54 * 35
63? = 1890
? = 30
rearranging familiar formulas the area A of rectangle is 25 in in formula for area is A=lw if the width w is 10 inches what is the lengh l
Answer:
2.5 in
Step-by-step explanation:
A = lw Divide each side by w
l = A/w
A = 25 in²; w = 10 in
l = 25/10
l= 2.5 in
evaluate j/k -0.2k when j =25 and k = 5
Answer:
4
Step-by-step explanation:
To evaluate a function with certain defined values, we must substitute the values in the equation, perform the indicated operations and in this way we obtain the final value.
If j = 25 and k=5
replacing in the equation
[tex]\frac{j}{k} -0.2k = \frac{25}{5} -0.2(5) = 5 -1 = 4[/tex]
If C is the hypotenuse of the right triangle ABC with sides A, B, C, and A=12, B=5, then C= ?
Answer:
13
Step-by-step explanation:
To solve for any missing side of a triangle, simply use the Pythagorean Theorem.
[tex]a^2 + b^2 = c^2[/tex]
[tex]c^2=12^2+5^2\\c^2 = 144 +25\\\sqrt{c^2} = \sqrt{169} \\\text{The square root of 169 is 13}[/tex]
The length of the hypotenuse (C) in a right triangle given sides A=12 and B=5 can be calculated using the Pythagorean theorem. Substituting these values leads to a calculation of √169, resulting in C being 13.
Explanation:The subject at hand pertains to the Pythagorean Theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (side C) is equal to the sum of the squares of the lengths of the other two sides (A and B). Hence, the formula is a² + b² = c².
Given that A=12 and B=5, we substitute these values into the Pythagorean theorem. Therefore, the calculation is C = √(12² + 5²). This simplifies to C = √(144 + 25), which further simplifies to C = √169. Thus, the length of the hypotenuse C is 13.
Learn more about Pythagorean Theorem here:https://brainly.com/question/19649203
#SPJ3
Helppppp please!!!!!
Answer: A. (4,0)
Step-by-step explanation: It is the only ordered pairs that are on the line.
Hope this helps! :)
Factors and Multiples,
56
66
Determine wherther the secound number is a factor of the first number,
72, 3 46, 4 132. 7 216, 9
Answer:
No
Step-by-step explanation:
So, you have 56 and 66. The others are 72, 346, 4132.7216, and 9. 66 can not go into 72 more than once, so therefore the answer is no.
The famous math water fountain is just 5 miles away from the high school. How far is the fountain away from the school on the map?
Answer:
Step-by-step explanation:
What is the scale of the map? Just multiply the ratio (distance on map x actual distance) by 5.
Find the length of the arc intercepted by a central angle of 240 degrees in a circle of radius r equals 9 feet
Answer:
37.7 feet ( to 1 dec. place )
Step-by-step explanation:
arc length = circumference × fraction of circle
= 2π r × [tex]\frac{240}{360}[/tex]
= [tex]\frac{2\pi (9)(240)}{360}[/tex] ≈ 37.7 feet
amara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month.) a. $176 b. $624 c. $778 d. $800
Answer:
Answer is B. $624
Step-by-step explanation:
So first off, you multiply. Amara earns $8 every hour and she works 25 hours every week. There are 4 weeks in a month so we first multiply 25 × 4 and we get 100
Now we multiply 100 × $8 and you get $800
But then it says that 22% of her money goes to taxes. So what we have to do is reduce from that total gross pay ($800). So the first thing we do is change the 22% to a decimal by moving the invisible decimal point twice to the left and it leaves us with .22
Now, we multiply $800 × .22 and we get $176. Now, do not get confused! This $176 is not the final answer! That is just the amount of money we have to take away not the money it leaves us with.
So we take away now from our total: $800 - $176 = $624
And there's your answer! I hope this helps :)
Answer:
b
Step-by-step explanation:
Simplify: -2/3 (-3 – 9x)
Answer:
find below
Step-by-step explanation:
-2/3 (-3 – 9x) = 2+6x
2+6x
find the value of x and y in the triangles below
Answer:
x=9 y=24
Step-by-step explanation:
take the triangle with 43 Degrees and 90 degrees to get the answer for that missing angle.
which equals 133
subtract 133 from 180 and get 47
then set 5x+2 = 47 because opposite angles are equal to each other
-2 on both sides
5x=45
divide by 5
x=9
then take 3y+1=?
add 47 + 60 =107
180-107=73
3y+1=73
-1 both sides
72
divide by 3
y=24
Write an equation in the form y = mx + b for the line that has a slope of 2 and passes through the point shown in the graph.