Answer:
See below
Step-by-step explanation:
This means
x < 3 or
-x < 3 <==== multiply both sides by -1 <=== this reverses the <
x > -3
so combining the two underlined
-3 < x < 3
Answer:
Step-by-step explanation:
we can expand the inequality to x>-3 or x<3 meaning x should be between -3 and 3 mathematically we can say -3<x<3
hope this helps
Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?
A.
Line JK and line LM will be parallel.
B.
Line JK and line LM will be perpendicular.
C.
The slope of line JK will be the same as the slope of line EF.
D.
The slope of line LM will be the negative reciprocal of the slope of line GH.
Answer:
A.
Step-by-step explanation:
I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.
EF: (-9,1) (-4,9)
[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
GH: (-5,-2) (0,6)
[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
Same slope and different y-intercept means the lines a parallel
Without graphing, classify each system
independent, dependent, or inconsistent.
3y + 2x= 12
36 - 9y = -6x
Answer:
The solution to the system of equations be:
[tex]y=4,\:x=0[/tex]
As the consistent system of equations has only one solution, it is independent.
Step-by-step explanation:
Given the system of equations
[tex]3y + 2x= 12[/tex]
[tex]36 - 9y = -6x[/tex]
solving the system of equations
[tex]\begin{bmatrix}3y+2x=12\\ 36-9y=-6x\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}3y+2x=12\\ -9y+6x=-36\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}3y+2x=12\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:9y+6x=36[/tex]
[tex]\begin{bmatrix}9y+6x=36\\ -9y+6x=-36\end{bmatrix}[/tex]
so
[tex]-9y+6x=-36[/tex]
[tex]+[/tex]
[tex]\underline{9y+6x=36}[/tex]
[tex]12x=0[/tex]
[tex]\begin{bmatrix}9y+6x=36\\ 12x=0\end{bmatrix}[/tex]
solve 12x=0 for x
[tex]12x=0[/tex]
Divide both sides by 12
[tex]\frac{12x}{12}=\frac{0}{12}[/tex]
[tex]x=0[/tex]
[tex]\mathrm{For\:}9y+6x=36\mathrm{\:plug\:in\:}x=0[/tex]
[tex]9y+6\cdot \:0=36[/tex]
[tex]9y=36[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{36}{9}[/tex]
[tex]y=4[/tex]
Thus, the solution to the system of equations be:
[tex]y=4,\:x=0[/tex]
As the consistent system of equations has only one solution, it is independent.
The table shows the ratio between the number of packets and the number of seeds of a certain plant contained in them:
Number
of packets Number
of seeds
5 10
6 12
7 14
Which graph shows equivalent ratios?
Answer:
C would be your answer
Step-by-step explanation:
||x+4|-7|<5
PLS SOLVE
Answer:
this is step by step
Step-by-step explanation:
||x+4| -7<5
|x+4|<12
{(x+4)+(-4)>–12 + (–4)
{(x+4)+(–4)<–12 + (–4)
{x+4–4>–12–4
{x+4–4<12–4
{x> – 16
{x<8
–16<x<8
x€(–16,8 )
I hope naka tulong
The container that holds the water for the foorball team is 1/10 full. After pouring in 13 gallons of water, it is 3/5 full. How many gallons can the container hold?
Answer:
b
Step-by-step explanation:
it b yeah ddddddddddddddddddd
HELP NOW PLEASE -2n-3 > 33
Answer:
n< -18
Step-by-step explanation:
The sum of two numbers is 10 and the difference is 6. What is the
product of the two numbers? Provide evidence of your work in your
answer
Your answer
This is a required question
Answer:
4
Step-by-step explanation:
If the sum is 10 and 6 is one of the numbers that makes up 10, all you have to do is subtract 6 from 10 and you get 4.
hope this helps
sorry if it wrong
Joe collects Pokemon cards. He already has 100 and buys a dozen more each week when he goes to the store. Jessica also collects Pokemon cards. She has 130 cards, and buys 6 more each week at the store.After how many weeks would the two kids have the same amount of cards?
Answer:
5 weeks
Step-by-step explanation:
To find the answer to this question we have to write an equation for both situation and put them equal to each other.
Let's write an equation for Joe:
12x + 100
Now, for Jessica
6x + 130
Next, put them equal to each other:
12x + 100 = 6x + 130
Solve:
12x + 100 = 6x + 130
6x + 100 = 130
6x = 30
x = 5
Therefore, it will take 5 weeks for Joe and Jessica to have the same amount of cards.
Check:
12(5) + 100 = 6(5) + 130
60 + 100 = 30 + 130
160 = 160
I hope this helps!!
- Kay :)
74.37 rounded to the nearest ten
Answer:
Step-by-step explanation:
70
Answer:
70
Step-by-step explanation:
A wagon is being pulled by a force of 15 pounds. How
much work is done in moving the wagon 50 feet if the
handle makes an angle of 40° with the ground?
11.49 foot-pounds
38.30 foot-pounds
574.53 foot-pounds
750.00 foot-pounds
Answer:
C. 574.53
Step-by-step explanation:
Option C) is correct work done = 574.53.
Force = 15 pounds
distance = 50 feet
Ф = 40°
work done is product of force and cosine of displacement.
work done = force x displacement x cosФ
= 15 x 50 x cos40
= 15 x 50 x 0.76
= 574.53
Thus the required work done is 574.53 to pull the wagon.
Learn more about work bhere:
https://brainly.com/question/9821607
#SPJ2
Which graph represents y=x-5?
Mary picked 15 flowers from her garden that were pink and yellow. If 3 out of 5 of these flowers were yellow, how many flowers did Mary pick that were pink
Answer:
id say 10 but im dumn if get wrong do not star me 5 only one star
Step-by-step explanation:
Answer: 6 of the flowers are pink
Step-by-step explanation:
If 3/5 of the flowers are yellow you would convert the 3/5 into a 9 because 1/5 of 15 is 3 so you would multiply 3 by 3 to get nine. By doing this you will find out the 2/5 or the remaining flowers are pink which makes 6 pink flowers.
Blake earns $3,200 each month. He pays
$600 per month for housing, $300 per
month for a car loan, and $150 per month in
other debt payments. Find Blake's debt-to-
income ratio to the nearest tenth of a
percent.
A. 32.8%
B. 32.1%
C. 33.9%
D. 33.4%
Answer:
A. 32.8%
Step-by-step explanation:
Blake's incomes are $3,200 each month.
His debts are:
$600 per month for housing
$300 per month for a car loan
$150 per month in other debt payments
Total payments: $600+$300+$150=$1,050
The debt-to-income ratio is calculated by:
[tex]\displaystyle r=\frac{1,050}{3,200}\cdot 100\%[/tex]
r = 32.8%
Emma volunteered at an animal shelter for a total of 119 hours over 6 weeks. Estimate the number of hours she volunteered each week
Answer:
20 hours
Step-by-step explanation:
1
Question 2 of 5 (1 point) Que
3
Calculate the distance between the point (-8,0) and (-5, 3) in the coordinate plane.
Round your answer to the nearest hundredth
Distance:
The distance between (-8,0) and (-5,3) in the coordinate plane is 9 units.
Given that the coordinates of points in the coordinate plane are (-8,0) and (-5,3).
We are required to find the distance between the given points.
Distance is basically a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to physical length or an estimation based on other criteria.
Distance between (-8,0) and (-5,3)=[tex]\sqrt{(-5+8)^{2} +(3-0)^{2} }[/tex]
=[tex]\sqrt{3^{2} +3^{2} }[/tex]
=[tex]\sqrt{9+9}[/tex]
=[tex]\sqrt{81}[/tex]
=9 units
Hence the distance between (-8,0) and (-5,3) in the coordinate plane is 9 units.
Learn more about distance at https://brainly.com/question/17273444
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4.5lb times $15 per pound
Answer:
$67.50
Step-by-step explanation:
You would just multiply 4.5x15
Hope this helps!
-AxekickNebulite
HELP ASAP ILL GIVE BRAINLIST
Answer: I think the answer would be (2, -1)
what would be the slope for (-4,-7) (-6,4)
Answer:[tex]\frac{11}{-2}[/tex]
Step-by-step explanation:
ok so I'm going to try to show it the best c an
m = slope
the equation you use is
[tex]\frac{y2-y1}{x2-x1} =[/tex] m
so when using that formula with the cords, you get
[tex]\frac{4-(-7)}{-6-(-4)}[/tex]
and then subtract everything and you'll get
[tex]\frac{11}{-2}[/tex]
I need help, I got 80 and 90 but it said I was wrong...
Answer:
I think it is 90 and 100
Step-by-step explanation:
I used this equation: x is the speed of the slower train
910 = (5x + 10) + 5x
Answer:
The answer is 86 and 96 mph
Step-by-step explanation:
Givens
Train A
Distance traveled = d
time taken = 5 hours
rate traveled = r
Train B
Distance traveled = 910 - d
time taken = 5 hours
rate = r + 10
Formula
basically d = r * t
Solution
Train A: d/r = 5 or d = 5*r
Train B = (910 - d)/(r + 10) = 5 or
Substitute d = 5*r into Train B
(910 - 5*r)/(r + 10) = 5 Multiply both sides by r + 10
(910 - 5r) = 5 * (r + 10) Remove the brackets on both sides
910 - 5r = 5r + 50 Add 5r to both sides
910 = 5r + 5r + 50
910 = 10r + 50 Subtract 50 from both sides
910 - 50 = 10r Combine the left
860 = 10r
10r = 860 Divide by 10
r = 860/10
r = 86
r + 10 = 96
Check
Train A distance: 5*r = 5 * 86 = 430
Train B distance: 5*r = 5 * 96 = 480
Total = 910
Use benchmark fractions and estimation to solve this problem: 1/5 + 4/5
Answer:
The answer is 1
Step-by-step explanation:
1/5 + 4/5 = 5/5
5/5 = 1
the derivative (4x+1)^2
Answer:
[tex]\displaystyle \frac{d}{dx}[(4x + 1)^2] = 8(4x + 1)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = (4x + 1)^2[/tex]
Step 2: Differentiate
Basic Power Rule [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = 2(4x + 1) \cdot \frac{d}{dx}[4x + 1][/tex]Basic Power Rule [Addition/Subtraction, Multiplied Constant]: [tex]\displaystyle y' = 2(4x + 1) \cdot 4[/tex]Simplify: [tex]\displaystyle y' = 8(4x + 1)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
)A grocery store sells steak for $6.10 per pound. What would be the cost of 2 35lb of steak?
Answer:
$427
Step-by-step explanation:
6.10 x 70 (the weight of both steaks combined) = 427
a² +6² = c²
Find the length of c:
Answer:
c = 10
Step-by-step explanation:
Hypotnuse² = base²+height²
c²= 8²+6²
c²=64+36
= 100
100 = 10²
c = 10
PLEASE ANSWER QUICK 90 POINTS AND BRAINLIEST
Answer:
okay show me itStep-by-step explanation:
I am up for it whatever you needYESS
Because these are f r e e points
Solve the formula for the specified variable.
V=YMK for Y
Dividing both sides by MK yields
[tex]\boxed{Y=\frac{V}{MK}}[/tex]
Juan’s father is paying for a $45 meal. He has a 10%-off coupon for the meal. After the discount, an 8% sales tax is applied. What does Juan’s father pay for the meal? Explain or show your reasoning.
Answer:
$43.74
Step-by-step explanation:
will pay= $45
10% of =$45×10/100=$4.5
so, $45-$4.5= $40.5
8% tax= $40.5×8/100 =$3.24
total= $43.74
g(x)=-x-1 find g(-4)
Answer:
g(-4) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = -x - 1
g(-4) is x = -4
Step 2: Evaluate
Substitute in x: g(-4) = -(-4) - 1Multiply: g(-4) = 4 - 1Subtract: g(-4) = 3What is the slope of a line that is perpendicular to the line y = 1/6 x + 4? The slope of the line is .
Answer:
-6
Step-by-step explanation:
The slope of a perpendicular line has the slope of the opposite and reciprocal of the current line. We would get -1/6 and then -6.
what is the slope of a line parallel to the function y=1/2x + 4
Answer:
1/2
Step-by-step explanation:
parallel slopes are exactly the same
Answer:
slope is 1/2
Step-by-step explanation:
the function y = 1/2 x+4 has the slope 1/2 because y=mx+b where m is slope
Tne slope of a parallel line to this function is the same m=1/2 because parallel lines have same slope
3. Metal is made using Copper, zine and lead in the ratio 13:6:1, the mass of the zinc is 90kg, calculate
1) the total mass of metal
2) the mass of the copper
3) the mass of the lead as a % of the total mass of the metal
Answer:
1) 150 kg
2) 97.5 kg
3) 5%
Step-by-step explanation:
Ratios of each metal to total mass of metal can be computed by dividing its corresponding value by the sum of all the values in the ratio
The ratio of zinc to metal = 6/(13 + 6 + 1) = 6/20 = 3/10
Let the total mass of the metal be X
Then mass of zinc = (3/5)X = 90 kg (given)
1) Multiplying both sides by 5/3 gives X = 5/3 x 90 = 150 kg which is the total mass of metal
2) Ratio of copper to metal mass = 13/20
Mass of copper = 13/20 x 150 = 97.5 kg
3) Mass of lead as a ratio of metal = 1/20 = 0.05
As percentage, multiply by 100 to get 0.05 x 100 = 5%