Answer:
x = -8 ± √77
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Property
Algebra I
Completing the SquareStep-by-step explanation:
Step 1: Define
x² + 16x - 2 = 11
Step 2: Solve for x
Add 2 on both sides: x² + 16x = 13Complete the Square: x² + 16x + 64 = 13 + 64Simplify: (x + 8)² = 77Square root both sides; x + 8 = ±√77Subtract 8 on both sides: x = -8 ± √77The cost of tea varies directly with the
mass. Liz bought 4.5 kg of tea for $10.35.
What is the constant of variation?
Answer: $27.6 is the constant of variation.
I hope this helped!
soy ell idredle a admana gua uag uga jjejeje
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?
Answer:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
Step-by-step explanation:
We have 3 friends
They are represented by:
Frazer = x
Sally = y
Frame = z
Total number of trees donated = 31
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends
Frazer gets 3 more trees than Sally
x = y + 3
Sally gets 7 fewer trees than Flame
y = z - 7
z = y + 7
How many trees do each of his friends get?
x + y + z = 31
y + 3 + y + y + 7 = 31
3y + 10 = 31
3y = 31 - 10
3y = 21
y = 21/3
y = 7 trees
x = y + 3
x = 7 + 3
x = 10 trees
z = y + 7
z = 7 + 7 trees
z = 14 trees
Therefore:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
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............................................................................................
Can anyone please help me with this. It’s late and I need help asap :)
Answer:
I think they're both always but I'm not sure
Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
a
1436.8m
b
1026.6m
С
1834.9m3
d
11494m
Answer:
a ) 1436.8 m³Step-by-step explanation:
R = 7 m
[tex]V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3[/tex]
ISSS THIS CORRECT??????please help
Answer:
I think that is correct, sorry if i get it wrong
Answer:
Step-by-step explanation:
(4,1) you are correct
thhe solution is the intersection of thhe 2 graphs because that point of intersection belongs to both lines in the same time
I REALLY NEED HELP FAST PLEASE !!
Answer:
C: √768
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Which statements are true? Select the two correct answers.
The square root of a positive number greater than 1 is less than the number,
The square root of a positive number is always less than half of the number itself.
The square root of a positive number less than 1 is less than the number.
The square root of a perfect square is not a whole number.
The square root of a positive number less than 1 is between 0 and 1.
the person ontop is wrong its a and e
Step-by-step explanation:
:)
1. A television set costs ₱35 000.00 and a yearly cost of electricity of ₱572.00
Answer:
whats the question for this?
Step-by-step explanation:
If 3/4 pound of sugar makes 10 cakes, how much sugar, in pounds, is needed to make 1 cake?
Answer:
3/40 or 0.075 pounds
Step-by-step explanation:
Tom finished 6/7 of his math homework on the school bus. What percent did he finish on the bus?(If needed round to the nearest hundredth)
Answer:
85.71
Step-by-step explanation:
precentage of 6÷7 ×100
Answer:
86%
Step-by-step explanation:
[tex]\frac{6}{7}[/tex] ≈ 0.86 = 86%
Find the coordinates of the reflection: B (8,-1) is reflected over the y-axis
Answer:
good for u
Step-by-step explanation:
16 - 3x = 4 + x
solve please
Answer:
x = 3
Step-by-step explanation:
Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3
Shady Rivers summer camp has 188 campers this week. If there are 22 campers to each cabin, what is the least number of cabins needed?
The least number of cabins needed for campers is 8.
Given that, Shady Rivers summer camp has 188 campers this week.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The least number of cabins needed = Total number of campers/Number of campers to each cabin
= 188/22
= 8.54
Therefore, the least number of cabins needed for campers is 8.
To learn more about the unitary method visit:
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Find the value of x. Show all work. Round your answer to the nearest tenth.
25
x
23
Please help
Answer:
8.9Step-by-step explanation:
[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]
A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
I need help! I don’t understand!
Answer:
33
Step-by-step explanation:
just coint how much is on each side then multiply it by 3
Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US
Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
Leo wants to buy some shoes. He found the shoes at three different stores for a spice of $35. The stores are each having a sale. Which statement about the sale price of the shoes is true
Answer: Store Z has the best sale price of $28.
Step-by-step explanation:
Here is the complete question:
Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale.
Store X is offering 15% off the price of the shoes.
Store Y is offering $5 off the price of the shoes.
Store Z is offering a discount 1/5 off the price of the shoes.
Which statement about the sale price of these shoes is true?
a. Store X has the best sale price of $20.
b. Store Z has the best sale price of $28.
c. Store Y has the best sale price of $30.
d. Store Z has the best sale price of $7.
Since Store X is offering 15% off the price of the shoes, the price of the shoe at store X will be:
= $35 - (15% × $35)
= $35 - (0.15 × $35)
= $35 - $5.25
= $29.75
Since Store Y is offering $5 off the price of the shoes, the price of the shoe at store Y will be:
= $35 - $5
= $30
Since Store Z is offering a discount off the price of the shoes, the price of the shoe at store Z will be:
= $35 - (1/5 × $35)
= $35 - $7
= $28
Base on the analysis above, Store Z has the best sale price of $28.
which property is used in the problem below
2(x+4)=2x+8
Answer:
Distributive property
The Distributive property. 2(x+4) got turned into 2x+8. The distributive property does this: 2 times x plus 2 times 4.
Step-by-step explanation:
Answer:God bless you and your family and friends and stay safe and good luck! :)
Step-by-step explanation:
The answer is C) The Distributive property.
2(x+4) got turned into 2x+8.
The distributive property does this:
2 times x plus 2 times 4.
2 times x = 2x
2 times 4 = 8.
So the answer is 2x+8.
C) Distributive property is right.
6v^2+13v-8= −3 solve the equation for all real solutions
Answer:
v = -5/2, 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0FactoringQuadratic Binomial RootsStep-by-step explanation:
Step 1: Define
6v² + 13v - 8 = -3
Step 2: Solve for v
Add 3 to both sides: 6v² + 13v - 5 = 0Factor: (2v + 5)(3x - 1) = 0Find roots: v = -5/2, 1/3The scatterplot illustrates the relationship between two quantitative variables: the number of seeds planted per square foot and the yield of the crop (in pounds per square foot).
A graph titled Number of Seeds and Crop Yield has seeds (per square foot) on the x-axis, and yard (pounds per square foot) on the y-axis. The points curve up to a point, and then curve back down.
Which of the following is an accurate description of the scatterplot?
Answer:
I cannot confirm answer (D), but it looks correct to me.
Here's the option:
The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.
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What is the solution to this inequality?
7x + 25<=11
Answer:
Step-by-step explanation:
smplifying
7x + 11 = 25
Reorder the terms:
11 + 7x = 25
Solving
11 + 7x = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 7x = 25 + -11
Combine like terms: 11 + -11 = 0
0 + 7x = 25 + -11
7x = 25 + -11
Combine like terms: 25 + -11 = 14
7x = 14
Divide each side by '7'.
x = 2
Simplifying
x = 2
Answer: Inequality form: x<=-2
Interval notation: (-infinity,-2]
Corrine bought 8.4 pounds of almonds. She divided them into 30 snack-size bags. How many pounds are in each bag?
helphelphelp ASAPPPPP!!!!!
Answer:
0.28 pounds in each bag.
Step-by-step explanation:
There are 0.28 pounds in each snack-size bag.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.
For example 4/2 = 2
We have been given that she bought 8.4 pounds of almonds. She divided them into 30 snack-size bags.
We have to determine the number of pounds in each bag.
The number of pounds in each bag = total quantity of almonds ÷ number of bags
The number of pounds in each bag = 8.4 pounds ÷ 30 bags
The number of pounds in each bag = 8.4/30
Apply the division operation, and we get
The number of pounds in each bag = 0.28 pounds
Thus, there are 0.28 pounds in each snack-size bag.
To learn more about the division operation click here :
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is y= -1/3x a direct variation?
Answer:
Yes
Step-by-step explanation:
It is a direct variation of the X,Y,Z family. This is due to the 3rd party uneven number.
Answer:
no
Step-by-step explanation:
A client takes 112 tablets of medication four times per day for 4 days. How many tablets will the client have taken at the end of day four?
Answer:
1792
Step-by-step explanation:
1 day = 112 × 4
= 448
4 days = 448 × 4
= 1792
The range of a function is called the dependent variable or the output of the function
True False
PLEASE HELP, I ONLY HAVE A FEW MINUTES TO TURN THIS IN BEFORE ITS NOT ACCEPTED!!
Jamila wants to play a game called "Guess my line". She gives you the following hints:
"Two points on my line are (1,1) and (2,4)
- What is the slope of her line?
- What is the y-intercept?
- What is the equation?
Answer:
The slope is 3, the y- intercept is -2, and the equation is y= 3x - 2
Answer:
[tex] \Large \pink{\tt \dfrac{i dunno}{..}}[/tex]
What is the slope of the line represented by the equation Y equals 4/5X -3?
-3
-4/5
4/5
3
Answer:
We conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5Step-by-step explanation:
We know that the slope-intercept of the line equation is
[tex]y=mx+b[/tex]
here
m is the slopeb is the y-interceptGiven the equation
[tex]y\:=\:\frac{4}{5}x-3[/tex]
comparing with the slope-intercept of the line equation
The slope = m = 4/5
Thus, we conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5Someone help please thx in advance