Step-by-step explanation:
3×|x + 4| + 2 >= 5
you handle this basically like an equation :
3×|x + 4| >= 3
|x + 4| >= 1
because of the absolute value we have 2 solutions for that :
x + 4 = 1
and
x + 4 = -1
as in both cases the absolute value turns the result into 1.
so,
x + 4 = 1
x = -3
x + 4 = -1
x = -5
so, to satisfy the inequality
x >= -3 or x <= -5
please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.
If x^2 - 6x +8=0, then x-4=0 or x-2=0.
Step-by-step explanation:
X - 4 = 0
X = 4
X - 2 = 0
X = 2
So the values of x are 2 and 4
What are the slopes (m1 & m2) to
1.)
3x+6=30
&
4y+2x=9
2.)
-x-y=-1
&
y+x=7
Esma has a box that is 20 cm wide 10 cm high, and 10 cm deep she wants to fill the box with packages that are 5 cm wide 2 cm high and 2 cm deep what is the greatest number of packages that she can put in the box with out it overfilling
Answer:
Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.
Step-by-step explanation:
Decrease £390 by 10%
Answer:
the other guy is correct, i think
Step-by-step explanation:
Which shows the correct first step to solving the system of equations in the most efficient manner?
3 x + 2 y = 17. x + 4 y = 19.
x = negative 4 y + 19
x = StartFraction negative 2 y + 17 Over 3 EndFraction
4 y = negative x + 19
Answer:
x = -4y + 19
Step-by-step explanation:
We have the two equations 3x + 2y = 17 and x + 4y = 19.
The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.
x + 4y = 19
We can rearrange this by getting the 4y to the other side.
We can get 4y on the other side by subtracting 4y from both sides
x + 4y - 4y = 19 - 4y
x = -4y + 19
And we have just completed the first step!
Part A: Find the LCM of 5 and 12. Show your work. (3 points)
Part B: Find the GCF of 72 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answer:
Part A: 60
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
12, 24, 36, 48, 60.
---------------------------------
Part B: 9
81 / 72 = 9
----------------------------------
Part C: 9 (8 + 9)
---------------------------------
GCF of 72 and 81 is 9...
Divide 72 by 9 and get 8.
Divide 81 by 9 and get 9.
To check multiply 9 with 8, and multiply 9 by 9.
1/5 divided by 2/15 as a mixed number
Answer: 1 1/2
Step-by-step explanation:
Step One: 3 / 2 = 1.5000 = 1
Step Two: 3 - (2 x 1) = 1
Step Three: 1 1/2
Please mark me branliest
the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon. a write and solve an algebraic equation to find out how many miles they will travel. Explain your steps. b. Write and solve an algebraic equation to find out how many gallons of gas they will use. Explain your steps. c. Write and solve an algebraic equation to find out how much ortiz's will spend on gas round trip. Explain your steps. d. suppose you know the total cost of the gas, do not know the price pe gallon. Explain how you would work backward to solved the problem
Answer:
a. 2116 miles
b. 105.8 gallons
c. $305.76
d. cost per gallon = total cost / number of gallons = total cost/105.8
Step-by-step explanation:
a.The round-trip distance is the sum of the distances there and back. It is double the one-way distance.
round-trip distance = 2 × one-way distance
round-trip distance = 2 × 1058 miles = 2116 miles
__
b.The gas used will be the distance divided by miles per gallon.
gas used = round-trip distance / miles-per-gallon
gas used = (2116 mi)/(20 mi/gal) = 105.8 gal
__
c.The cost of gas will be the product of cost per gallon and number of gallons.
cost of gas = cost-per-gallon × gallons
cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76
__
d.The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...
(cost of gas)/gallons = cost-per-gallon
For the same trip, the number of gallons is 105.8, so the equation becomes ...
cost-per-gallon = (cost of gas)/105.8
PLEASE FILL IN BLANK I WILL MARK AS BRAINLIEST
Let f(2)=32 and g(x) = ID.
Use the composition of functions to determine if f(x) and g(2) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
f(g(x)) =
()
9(f(x))
) =
The function f(x)
the inverse of g(x)
Answer:
[tex]\sqrt[3]{x}[/tex]
[tex]x^3[/tex]
is
Step-by-step explanation:
No links or files. I will have to report answers that contain files. Please provide a short explanation if you can.
Answer:
BCA is half of that of BCD. BCD is ~90 degrees, and BCA is ~45 degrees.
(~ meaning about)
Hope that helps
HELP! I need answers to every question!
Answer:
We can treat i as if it was a variable/symbol, with the caveat that
i * i = -1
[6]
(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i
[7]
-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i
[8]
2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i
[9]
(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i
Answer:
6.) 1 - 19i
7 ) -8 - 10i
8.) -6 + 8i
9.) 57 + 9i
not sure if its the right answer
Use the quadratic formula to write a quadratic equation that has the solutions x=-4 ± 2/6.
Step-by-step explanation:
general formula
x²-(a+b)x+(ab)
where a is alpha
and b is beta
x=-4+2/6 or x=-4-2/6
x=-1/3 or x=-1
a+b=-1/3 + -1 =-4/3
ab= -1/3 x -1 =1/3
quadratic equation
x²-(-4/3)x + 1/3=0
x² + 4/3x + 1/3=0
multiply through by 3
3x² +4x +1=0
Answer:
general formula
x²-(a+b)x+(ab)
where a is alpha
and b is beta
x=-4+2/6 or x=-4-2/6
x=-1/3 or x=-1
a+b=-1/3 + -1 =-4/3
ab= -1/3 x -1 =1/3
quadratic equation
x²-(-4/3)x + 1/3=0
x² + 4/3x + 1/3=0
multiply through by 3
3x² +4x +1=0
What is the slope?
x: -3, -5, -9
y: 1, 5, 13
Can you please help me with this question
Answer:
C
Step-by-step explanation:
The first step in solving a problem is to understand what you are given. Here, all of the tables have the same set of equally-spaced x-values. That means a linear relationship can be identified by looking for constant differences in the f(x) values.
Only the f(x) values in Table C have constant differences (all are 2).
Table C represents a linear function. f(x) = 2x -1
A 2-pack of light bulbs costs $0.73. What is the unit price, rounded to the nearest cent?
Answer:
37 cents.
Step-by-step explanation:
Two lightbulbs sell for 73¢, meaning one lightbulb sells for 36.5¢ (73/2), or "unit price" (the price for one of something). Rounded to nearest cent at 37¢.
Help I need help please help help
Answer: We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.
Step-by-step explanation:
Let us solve for our 1st inequality.
2x + 9 - 9 < 0 - 9
2x< -9
2x/2 < -9/2
X< -4.5
Upon combining our both inequalities, we will get:
-12 < x < -4.5
This means that solution of our inequalities is x values greater than -12 and less than -4.5
We know that integers between and are: -11, -10, -9, -8, 7, -6,-5.
Therefore, our solution would be X= {-11,-10,-9,-8,7,-6,-5}
Just help me on 6 and 7 please
6) [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{5}{8} \\[/tex] = [tex]\frac{9}{4} . \frac{8}{5} = \frac{9.4.2}{4.5} =\frac{18}{5}[/tex]
7) [tex]2\frac{1}{2}[/tex] ÷ [tex]4\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{9}{2}[/tex] = [tex]\frac{5}{2} .\frac{2}{9}=\frac{5.2}{2.9} =\frac{5}{9}[/tex]
ok done. Thank to me :>
You went to the farmer's market and bought berries for $4.50, corn for $2.50, and flower's for $ 7.50. Sales tax is 5%. What was your total bill?
Answer:
total bill = $15.23
Step-by-step explanation:
4.5 + 2.5 + 7.5 = 14.5
14.5 x 0.05 = 0.725
14.5 + 0.725 = 15.225 ≈ 15.23
A?
B?
C?
D?
Who ever is right gets brainlest <3
Answer:
4 n 4 √ 3 n
Step-by-step explanation:
The pair of points (5, 6) and (10, y) lie on a line with slope 4/5 . What is the value of y?
If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10
The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through points (5, 6) and (10, y)
[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]
The slope, m = 4/5
Substitute these value into the slope formula and solve for y
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]
Cross multiply:
4(5) = 5(y-6)
4 = y - 6
Collect like terms
y = 4 + 6
y = 10
Learn more here: https://brainly.com/question/13763238
What number could replace n?
6/12 = 2/n
n = ___
n = 4
Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.
Answer: 4
Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.
Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.
Check:
6/12 = 1/2
2/4 = 1/2
Hope this explanation helps.
Moussa is preheating his oven before using it to bake. The initial temperature of the
oven is 65° and the temperature will increase at a rate of 20° per minute after being
turned on. What is the temperature of the oven 15 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Temp after 15 minutes:
Temp after t minutes:
Answer:
365°, (65 +20t)°
Step-by-step explanation:
Temperature of oven
= initial temperature + 20°(number of minutes passed after it was turned on)
Temperature of oven after 15 minutes
= 65 +20(15)
= 65 +300
= 365°
Temperature after t minutes
= (65 +20t)°
Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?
Scale drawings are used to show an actual image using lesser dimensions.
The width of the actual gym is 72 feet
The scale is given as:
[tex]Scale = 5\ inches : 8\ feet[/tex]
Represent the width of the actual gym with w, so, we have the following equivalent ratio
[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]
Cancel out the common units
[tex]45: w = 5: 8\ feet[/tex]
Express as fraction
[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]
Cross multiply
[tex]5w = 45 \times 8\ feet[/tex]
Divide both sides by 5
[tex]w = 9\times 8\ feet[/tex]
[tex]w = 72\ feet[/tex]
Hence, the width of the actual gym is 72 feet
Read more about scale drawing at:
https://brainly.com/question/14934768
what number is the square root of 13 between
A 2 and 3
B 5 and 6
C 4 and 5
D 3 and 4
Answer:
D
Step-by-step explanation:
3:
12
4:
16
Therefore 13 is in between 12 and 16
what is -27/40 as a decimal number. AND NO LINKS pls and thank you :)
Answer:
-0.675
Step-by-step explanation:
A fraction is another way of writing a division problem. So to figure this out, simply divide -27 by 40
repost pls ASAP
It is recommended that you work this out on graph paper to help answer the questions. Maria plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):
Her house is at (−4, 9).
Her school is at (−4, 3).
The community center is at (1, 3).
The grocery store is at (−4, −8).
Is the total distance from Maria's house to the school to the grocery store greater than the total distance from Maria's house to the school to the community center? Justify your answer.
Answer:I think it would be the grocery store is at (-4, -8) but I not sure
Step-by-step explanation:
Answer:
Step-by-step explanation:
9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)
Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.
Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.
Which is greater? -4.84 or -8.48
Answer:
-4.84
Step-by-step explanation:
the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater
Answer:
-4.84
Step-by-step explanation:
Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers
omg please help for brainlist !!!!!!!!!!!!!!
D is correct :)
The bunnies are multiplying by 5 each time. The exponent will have the growth be 5 times the product before.
Hope this helps :)
Answer:
the 4th answer is correct
Step-by-step explanation:
although technically, we don't have enough information, it's the only one that it could be.
What time is shown on the clock
Answer:
6: 56
Step-by-step explanation:
find the interval in which the function is negative.
f(x) = x^2 - 3x - 4
I. (- infinite, -1)
II. (-1, 4)
III. (4, infinite)
A. III only
B. II only
C. I, II
D. I, III
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)