Answer:
[tex]x=-4,\:x=-\frac{1}{5}[/tex]
Step-by-step explanation:
The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:
[tex](-5x-1)(2x+8)=0[/tex]
When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:
[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]
Form the given function lesser x value is -4 and the greater x value is -1/5.
What are the zeros of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.
The given function is g(x)=(-5x -1)(2x +8)
Now, (-5x -1)(2x +8)=0
(-5x -1)=0 and (2x +8)=0
-5x=1 and 2x=-8
x=-1/5 and x=-4
Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.
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A. 4.5
B. 2.25
C. 6
D. 3
Answer:
XU is horizontal
Step-by-step explanation:
It's going across
Answer:
C. 6
Step-by-step explanation:
pls help
An electronics store keeps track of the number of computers sold. Last month, 30% of the computers were notebooks. If the store sold 390 notebooks last month, what was the total number of computers sold in the same month?
1,300 computers
1,560 computers
975 computers
1,114 computers
Answer:
1,300 computers
Step-by-step explanation:
As, they are saying they sold 30% of the computers last month
And that 30% was 390
So, x = the total number of computers
30% of x = 390
30% = 30/100 and "of" represents multiplication
So 30/100 X x = 390
We will transpose everything
30x = 39000
x = 39000 ÷ 30 = 1,300
So 1,300 computers were sold
If he starts at 1 and jumps 3 units to the right, then where is he on the number line? How far away from zero is he?
Answer:
He is on 4.
Step-by-step explanation:
f(x) =-2 |x + 1|
how do I do this?
Answer:1
Step-by-step explanation: f(x)=-2 |x+1|
plug in the f(x) which is -2 into x to solve.
|-2+1|= |-1|= 1, it turns into positive 1.
Brent spends $ 420 on his monthly bills. Of this amount, 15 % is for utilities, 1/5 is for Internet service, and 1/7 is for phone service. If the rest of the total amount is for food, how much money does Brent have for food?
Answer: $213
Step-by-step explanation:
First find out how much is spent on the other things:
Utilities
= 15% * 420
= $63
Internet services
= 1/5 * 420
= $84
Phone service
= 1/7 * 420
= $60
The amount left for food is therefore:
= 420 - money spent on other things
= 420 - 63 - 84 - 60
= $213
El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto pago por la televisión?
Answer:
$111,088
Step-by-step explanation:
Paso 1
Encuentra el descuento
Costo de la televisión de plasma = $ 138,860.00
Porcentaje de descuento = 20%
Descuento = 20% × $ 138,860
Descuento = $ 27,772
Paso 2
¿Cuánto pago por la televisión?
Esto se calcula como:
$ 138,860 - $ 27,772
= $ 111,088
Por lo tanto, la cantidad que paga por la televisión es de $ 111,088
Can someone help me?
Answer:
10.72
Step-by-step explanation:
use pithagriam therom
Write the equation of a line parallel to the line y = 2x that passes through -2,-1
Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
Choose the description that matches the inequality p > -3.
A line traveling to the right with a closed dot on p = -3.
A line traveling to the left with an open dot on p = -3.
A line traveling to the left with a closed dot on p = -3.
A line traveling to the right with an open dot on p = -3.
Answer:
The correct option is: A line traveling to the right with an open dot on p = -3.
Option D is correct option.
Step-by-step explanation:
Choose the description that matches the inequality [tex]p > -3[/tex].
The inequality states that, the value of p is greater than -3
For drawing the number line for the inequality, we know that if p > -3, there will be open circle on -3 because -3 is not included and the greater values are on the right side of number line, so line will be travelling to right side.
The number line is attached in figure.
So, The correct option is: A line traveling to the right with an open dot on p = -3.
Option D is correct option.
2x + 7 =30, x = 3 true or false
Answer:
False
Step-by-step explanation:
2x+7=30
2x=23
X= 23/2 or 11.5
X does not equal 3, therefore the statement is false
What is the solution to the system of equations?
Use the linear combination method.
{2x−3y=93x+5y=4
Answer:
fffffffffffffffffffffffffffffffffffffffffff
Step-by-step explanation:
Answer:
(3,-1)
I took the test, it said it was right.
Translate the sentence into an equation.
Twice the difference of a number and 2 is 6.
Use the variable y for the unknown number.
Answer:
2(x-2)=6.
hope this helps
105 people are going to a movie 6 people can ride in each car how many cars are needed to get all 105 people to the movie
Answer:
17.5
105 divided by 6 equals 17.5
18 cars are needed to get all 105 people to the movie.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, 105 people are going to a movie 6 people can ride in each car.
Let the number of cars required be x.
Now, x= Total number of people/Number of people in each car
= 105/6
= 17.5
≈ 18
Therefore, 18 cars are needed to get all 105 people to the movie.
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Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
Answer:
y = 2x + 5
Step-by-step explanation:
thats your graph: tell me of somethings wrong with the picture or you need anything else
ASAP like now I need help!!!!
Answer:
(5x + 40), (7x + 8), (10x)
Step-by-step explanation:
Ok, I'm not completely sure, I'm taking a bullet here. But lemme know what you get
A school store ordered 12 boxes of notebooks. For each box they paid for, their bank account said -$16.50. What did their bank account show after they paid for all 12 boxes? (Write your answer in dollars $)
Answer:
-198 dollars
Step-by-step explanation:
A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?
Enter a unit that best describes the number.
Answer:
102
Step-by-step explanation:
12 x 9 x 51 = 5508
5508 / 54 = 102
Hope this helps!
Answer:
102.00
Step-by-step explanation:
12 feet high * 9 feet wide * 51 feet long / 54 = the answer
Graph the solutions of the linear inequality 3x + 3y > 6 .
Answer:
y > 2 − x
Step-by-step explanation:
Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 6 yd, 10 yd, and 8 yd
False, these measures do not form a right triangle.
True, these measures do form a right triangle.
Answer:
True, these measures do form a right triangle.
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
(6)^2 + (8)^2 = (10)^2
36 + 64 = 100
100 = 100
So, its true these measurements do form a right triangle.
PLEASE HELP!!!!! 25 POINTS!!!!!!
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
In the parallelogram, every two opposite sides are equal in lengthsIn the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the apple tree
Answer:
6.4%
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years = 28 ft
Po = Initial Population = 20 1/2 feet or 20.5 feet
r = Growth rate = ?
t = Time in years = 5
Hence:
28 = 20.5 (1 + r)⁵
Divide both side by 20.5
28/20.5 = 20.5 (1 + r)⁵/20.5
1.3658536585 = (1 + r)⁵
5th root both sides.
5√(1.3658536585) = 5√(1 + r)⁵
1.0643411027 = 1 + r
r = 1.0643411027 - 1
r = 0.0643411027
Converting to percentage
r = 0.0643411027 × 100
r = 6.43411027%
Approximately = 6.4%
The yearly growth rate of the apple tree = 6.4%
What is the value of X
Answer:
b. 12
Step-by-step explanation:
[tex] {h}^{2} = {x}^{2} + {y}^{2} \\ {x}^{2} = {h}^{2} - {y}^{2} \\ x = \sqrt{ {h}^{2} - {y}^{2} } \\ x = \sqrt{ {(15)}^{2} - {(9)}^{2} } \\ x = \sqrt{225 - 81} \\ x = \sqrt{144} \\ x = 12[/tex]
Simplify the expression,
3x + 2x + x =
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?
Answer:
4x + 7y = 3365
x + y = 578
x = matinees
y = regular
Step-by-step explanation:
Given
$4 = matinees
$7 = regular
Total tickets = 578
Money collected = $3365
If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;
4x + 7y = 3365
x + y = 578
Solving the system;
Multiply the second equation by (-4)
4x + 7y = 3365
-4x - 4y = -2312
Add the equations
4x + 7y = 3365
-4x -4y = -2312
3y = 1053
Inverse operations
3y = 1053
/3 /3
y = 351
x = 227
Some bakers make apple pie they have 15 boxes of apples each box has 18 apples they use 7 apple for each pie what is the total number of apple pies that the bakers can make
Look at these two equations.
Is there an ordered pair that is a solution to BOTH of
these linear equations?
y=x+1
y=-x+ 5
Answer:
Yes,
Step-by-step explanation:
the solution to these equations can be the point of intersection, which in this case the point of intersection is (2,3)
The turtle pond measures 40 square feet. 1 turtle requires approximately 2 square feet of space. Using this information, determine the maximum population size of the turtles in the pond.
Answer:
20 turtles
Step-by-step explanation:
40 divide 2 = 20
PLEASE HELP ASAP I AM WILLING 20 POINTS
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for SOCIAL SECURITY TAX for this pay period was $
Answer:
18.135
Step-by-step explanation:
30*9.75=292.5
6.2%*292.5=18.135
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field.
Answer:
x=15
Step-by-step explanation:
6(x−2)=78 (or 6x−12=78), x=15
Mr. Bennett purchased a condo several years ago at a selling price of $329,550. Recently he had the condo appraised and it is now worth $184,548. By what percent did the value of the condo go down?
Answer:
44%
Step-by-step explanation:
Given that,
Initial price = $329,550.
Final price = $184,548
We need to find by what percent the value of the condo go down. The percent decrease or increase is givnen by the formula as follows :
[tex]\%=\dfrac{\text{change in value}}{\text{initial value}}\times 100\\\\=\dfrac{329,550-184,548}{329,550}\times 100\\\\=44\%[/tex]
So, the value go down by 44%.