Answers
Given:
The inequalities are:
[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]
Solve the above inequalities separately.
[tex]-5x<-3[/tex]
Divide both sides by -5.
[tex]x>\dfrac{-3}{-5}[/tex]
[tex]x>\dfrac{3}{5}[/tex] ...(i)
And,
[tex]2x<-8[/tex]
Divide both sides by 2.
[tex]x<\dfrac{-8}{2}[/tex]
[tex]x<-4[/tex] ...(ii)
From (i) and (ii). we get
[tex]x<-4[/tex] or [tex]x>\dfrac{3}{5}[/tex]
The interval notation of the solution is [tex](-\infty,-4)\cup \left(\dfrac{3}{5},\infty\right)[/tex].
The graph of the solution is shown below.
Related Questions
Matthew grows wheat on his farm. One of his fields produced 66.8 bushels of wheat this year. If wheat is currently selling for $5.40 per bushel, how much will Matthew earn from this field?
Answers
Answer:
Mathew will earn $360.72 from his food
Step-by-step explanation:
We know that:
1 bushel of wheat = $5.40
And Matthew produced 66.8 bushels of heat this year
To find how much Matthew will earn from his field, multiply:
5.40 x 66.8 = 360.72
Therefore he will earn $360.72 from his field.
Hope thjs helps!
(12 POINTS)If you can’t help out it would mean so much ty!!!
Answers
Which are possible dimensions of the cylinder?
Answers
Answer:
B
Step-by-step explanation:
pls give me brainliest
Answer:
A cylinder is a three-dimensional figure like a prism, but with bases that are circles. A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.
Option is B
Step-by-step explanation:
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answers
Answer:
Step-by-step explanation:
First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle
in ΔDEF we have 180 -68 -81 = 31°
in ΔABC we have 180 -68 -33 = 79°
the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.
Solve for x
-12 = 4(x – 5)
X =
Answers
Answer:
-12=4x-20
4x=12+20
4x=32
4 = 4
x=8
Answer:
[tex] - 12 = 4(x - 5) \\ - 12 = 4x - 4 \times 5(bracket \: multipiction) \\ - 12 = 4x - 20 \\ - 12 + 20 = 4x\\ 8 = 4x \\ x = \frac{8}{4} = 2 \\ x = 2 \\ thank \: you[/tex]
X 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified? x3 + 5x2 + 5x – 2 x3 + 2x2 + 8x – 2 x3 + 11x2 – 2 x3 + 10x2 – 2
Answers
Answer:
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]
Step-by-step explanation:
Given
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]
Required
The equivalent expression
We have:
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]
Open bracket
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 + 6x^2 - 2x + 2x^2 + 12x -4[/tex]
Collect like terms
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 + 3x^4- 2x^3 -x^3 + 18x^3 - 6x^2 + 6x^2 + 2x^2- 2x + 12x -4[/tex]
Evaluate like terms
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]
Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?
Answers
what is 5/8 as a mixed number
Answers
Answer:
What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.
What is the solution to the equation
[tex] \frac{1}{4} x + 2 = - \frac{5}{8}x - 5 [/tex]
Answers
Explanation: hope this helps
In order for the parallelogram to be a
rhombus, x = [?].
(5x - 8°
(2x + 16)°
Answers
Answer:
8
Step-by-step explanation:
5x-8 = 2x+16
Move 2x to the left side and you get 3x-8 = 16
Move -8 to the right side and you get 3x = 24
Divide 3 on both sides and you get x = 8
Express 120 as the product of its prime factors.
Write the prime factors in ascending order.
Answers
Answer:
2 x 2 x 2 x 3 x 5
Step-by-step explanation:
The first and smallest prime number that can be divisible by 120 is 2; 120/2 = 60, 60/2 = 30, 30/2 = 15; and the smallest prime number divisible by 15 is 3; 15/3 = 5; and the smallest prime number divisible by 5 is 5; 5/5 = 1.
hence, we have 2 x 2 x 2 x 3 x 5 = 2³ x 3 x 5
Anthony is building a rectangular shaped swimming pool with a perimeter of 80 feet. Determine a function A(w) that models the area of the top surface of the swimming pool in terms of width W. A(w)= For w>0
Answers
Answer:
[tex]A(w) = 40w - w^2[/tex]
Step-by-step explanation:
Given
[tex]P = 80[/tex] --- perimeter
Required
Define the area in terms of width
The perimeter of the pool is:
[tex]P =2(l + w)[/tex]
Where:
[tex]l\to length[/tex]
[tex]w\to width[/tex]
So:
[tex]80 =2(l + w)[/tex]
Divide by 2
[tex]40 =l + w[/tex]
Make l the subject
[tex]l = 40-w[/tex]
The area is then calculated as;
[tex]A(w) = l * w[/tex]
Substitute: [tex]l = 40-w[/tex]
[tex]A(w) = (40 - w) * w[/tex]
[tex]A(w) = 40w - w^2[/tex]
Mustafa is flying his kite, and Ana is watching from 20 m away, as shown. From Ana's perspective there is an
angle of 109 between Mustafa and his kite. The length of the string between Mustafa and the kite is 46 m.
Kite
46 m
109
?
Mustafa
Ana
20 m
From Mustafa's perspective, what is the angle between Ana and the kite?
Do not round during your calculations. Round your final answer to the nearest degree.
Answers
Answer: From Mustafa's perspective, there is a 47\degree47°47, degree angle between Ana and the kite.
Step-by-step explanation: Khan Academy
Arrange the following in ascending order. 1/2 1/4 3/4 1
Answers
Answer:
1/4
1/2
3/4
1
Step-by-step explanation:
1/2 = 0.5
1/4 = 0.25
3/4 = 0.75
1 = 1
Which ratio is not equivalent to 3:6?
a. 1:2
b. 4:10
c. 10:20
d. 15:30
Answers
Answer:
B. 4:10
Step-by-step explanation:
A. 3:6 is equal to 1:2, which is our given answer for A.
B. Has no equivalent to 3:6
C. 10:20 can be simplified to 1:2 which 3:6 can also be simplified to… giving our answer.
Finally, D. You can multiply equally by 5 to get 15:30 and divide to get back to 3:6… it’s equal ;)
Hope this helps, good luck!
Kevin buys the items listed below at a grocery store. 3 packages of chicken priced at $12.36 per package 12 pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $6.48 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.45 in change. What amount of money does Kevin use to pay for the items?
Answers
Answer:
67.77$ Kevin use to pays for the items.
Step-by-step explanation:
According To the Question, We have
Kevin buys the item listed below at a grocery store
3 Packages of chicken priced 12.36$ per package = 12.36×3=37.08$12 Pound of Broccoli Priced 1.98$ per pound = 1.98×12 = 23.76$1 gallon of milk priced 6.48$ per gallon = 6.48×1 = 6.48$Now, Kevin Pays for the items and receives 0.45$ in Change.
Amount of Money Kevin Pays
6.48$+23.76$+37.08$+0.45$ = 67.77$
Please help me solve my problem!!!
Answers
can you plz answer plz!?
Answers
Answer:
1. mode
2. median, mode, mode interval
3. stem and leaf graph
4. not sure (try using a median calculator)
5. 80 or 90 (not exactly sure)
Step-by-step explanation:
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.
Answers
Answer:
[tex] F(4) = \frac {1}{256} [/tex]
Step-by-step explanation:
Given the following mathematical function;
[tex] F(x) = \frac {1}{4^{x}} [/tex]
When x = 1
[tex] F(1) = \frac {1}{4^{1}} [/tex]
[tex] F(1) = \frac {1}{4} [/tex]
When x = 2
[tex] F(2) = \frac {1}{4^{2}} [/tex]
[tex] F(2) = \frac {1}{4*4} [/tex]
[tex] F(2) = \frac {1}{16} [/tex]
When x = 3
[tex] F(3) = \frac {1}{4^{3}} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
When x = 4
[tex] F(4) = \frac {1}{4^{4}} [/tex]
[tex] F(4) = \frac {1}{4*4*4*4} [/tex]
[tex] F(4) = \frac {1}{256} [/tex]
When x = 5
[tex] F(5) = \frac {1}{4^{5}} [/tex]
[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]
[tex] F(5) = \frac {1}{1024} [/tex]
Fill in the blank.
7.95x10^7 = [ ? ]x 10^6
Answers
Answer:
79.5
Step-by-step explanation:
10^7 = 10^6 * 10
then 10*7.95 = 79.5
The pyramid ABCDE has a square base. the pyramid is 20cm high and each sloping edge measures 30cm. calculate the length of the sides the base
Answers
Answer:
44.8 cm
Step-by-step explanation:
Vertical height (h) = EM = 20 cm
Slant height (l) = 30 cm
This two heights form a right angle at the interception at the base. Thus, we have a right angle triangle.
The length of the sides of the base = 2 × the base of the right triangle
✔️Use Pythagorean theorem to find the base of the right triangle formed. Thus: c² = a² + b²
a = base of the triangle
b = h = 20 cm
c = l = 30 cm
Plug in the values
30² = a² + 20²
a² = 30² - 20²
a² = 500
a = √500
a = 22.4 cm
✔️length of the sides of the base = 2 × the base of the right triangle
= 2 × a
= 2 × 22.4
= 44.8 cm
A rectangle I'd formed by placing two identical squares side by side. The area of the rectangle is two centimeters squared. What is the perimeter of one square.
Answers
Answer:
4cm
Step-by-step explanation:
first find the length of one side of the square
let x represent that
making 2x length of the rectangle
area of a rectangle=length x width
2cm²=2x×x
2cm²=2x²
2cm²/2=2x²/2
1cm²=x²
1√cm²=√x²
1cm=x
perimeter of a square=4xside
4x1cm
4cm
PLS HELP ASAAPPPP!! will mark brainliest if i can !!
Answers
Answer:
2nd option
Step-by-step explanation:
The discriminant b² - 4ac tells us about the nature of the roots
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then the roots are not real
Here b² - 4ac = 15 > 0
Then there are 2 real and distinct roots
x = 2 and x = - 3 are possible solutions to the equation
Answer:
option b) x = 2 and x = -3
Step-by-step explanation:
If discriminant is greater than zero, then the quadratic equation will have two solutions.
If discriminant is equal to zero, then the quadratic equation will have only one solution.
If discriminant is less than zero no solution
Here the discriminant is 15 , which is greater than zero.
Therefore we will have to solutions.
There is only one option with two solutions for x.
So option b is the answer.
Broody is makeing trailmix for a hike he is takeing some friends. He used 6 cups of peanuts,4 cups of cashoe, 3 cups of choclate chips and 2 cups of raisins.Be mixed it all up and put a equal amount of trail mix into 5 bags.How many cups of trail mix did he put in each bag?
Answers
Answer:
The answer is 3.
Step-by-step explanation:
To answer this, you have to find the total amount of cups he had to begin with. You add the cups of peanuts, cashews, chocolate chips, and raisins together, which equals 15 cups. Then, he divided it evenly into 5 bags, which means he put 3 cups of trail mix into each bag.
-3x+20+7x=80 what is x? and how do I get it?
Answers
Answer:
x = 15
Step-by-step explanation:
-3x+20+7x=80
Combine like terms
4x+20 = 80
Subtract 20 from each side
4x+20 -20 = 80-20
4x = 60
Divide by 4
4x/4 = 60/4
x = 15
does anyone know how to do this
Answers
9514 1404 393
Answer:
y = -1/2x +4
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis, at y=4.
The slope is found by following the line to the right until it meets another grid line crossing point. That is 2 units to the right and down 1 unit.
The slope is ...
m = "rise"/"run" = -1/2
Then the slope-intercept equation is ...
y = mx + b . . . . . slope m, y-intercept b
y = -1/2x +4
Please help me answer 23, 24, 25 and 26!!!
Answers
Answer:
23. c
24.b
25. box 2
26. 48, 26
Step-by-step explanation:
Mhanifa or Anyone answer this
Answers
Answer:
$8.99
Step-by-step explanation:
14.38 ÷ 2 = 7.19
7.19 + 1.8 = 8.99
Hope this helps
If xy= 180 and HCF (x,y) = 3, then find the LCM (x,y)
tell the answer of LCM (x,y)
Answers
Answer:
Step-by-step explanation:
LCM×HCF= Product
LCM×3=180
LCM=180/3=60
how many eggs are 5 dozen
Answers
Answer:
A dozen is 12.
12*5 = 60 eggs
5 dozen eggs are equal to 60 eggs.
A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.
When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.
To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):
5 dozen x 12 eggs/dozen = 60 eggs
Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.
To learn more about multiplication;
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