Answer:
Step-by-step explanation:
The solution to this problem is a graph.
Graph y ≥ 12x - 1: this is a straight solid line with slope 12 and y-intercept -1. Due to the presence of the ≥ operator, we must shade (darken) the entire area above this line.
Next, graph y < 43x – 2 using a dashed line (due to the < operator): The slope is 43 and the y-intercept is -2.
Determine where the two lines intersect, either from the graph or algebraically. If algebraically:
equate the two givens:
y = 12x - 1 = y = 43x – 2, which simplifies first to:
12x - 1 = 43x - 2, and second to
1 = 43x - 12x = 31x, which results in x = 1/31.
Substituting 1/31 for x in the first equation, we get:
y = 12(1/31) - 1, or y = 12/31 - 1, or y = 12/31 - 31/31, or y = 19/31
The two graphs intersect at (1/31, 19/31)
Shade (darken) the area beneath (under) the dashed line y < 43x – 2.
The solution is the area that you have darkened twice.
-2(3x - 1) = -6x -1 does it have one Solution, no Solution, or infinite Solutions
Answer:
None
Step-by-step explanation:
Please, can someone help me on math? Struggling a bit.
what is the value of the following expression: f^-1(f(x))
The required simplified value of the f⁻¹(f(x)) is given as x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Property of function states that function of function would be x, if the last function is an inverse function of its substituting function or vice versa. So,
f⁻¹(f(x)) = f(f⁻¹(x)) = x
Thus, the required simplified value of the f⁻¹(f(x)) is given as x.
Learn more about simplification here:
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To create a unique house paint color, Melton mixes together a sample that is 12 gallons of red, 2.5 gallons of yellow and 0.5 gallons of blue paint. He then mixes a main batch of paint using 30 gallons of yellow paint and enough red and blue paint to maintain the original ratio. How many total gallons of paint did he use to make the main batch of paint?
Answer:
180
Step-by-step explanation:
total ratio is 15
gallons of red =
[tex] \frac{12}{15} \times 6 \times \frac{15}{0.5 } \\ \\ = 144[/tex]
gallons of yellow
[tex]30[/tex]
gallons of blue
[tex] \frac{0.5}{15} \times 30 \times \frac{15}{2.5} \\ \\ = 6[/tex]
total =144+30+6
=180
Answer:
180
Step-by-step explanation:
Answer the following question
Answer:
f(-8) = 54
Step-by-step explanation:
To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.
Select the point on the graph that matches the value of
20/9
Answer:
The dot just past 2.
Step-by-step explanation:
It's the dot right next to 2,
2.2
Select all ratios equivalent to 3:2.
2:12 18:14 27:18
Answer:
27:18.
Step-by-step explanation:
27/9 = 3
18/9 = 2
Answer:
27:18
more equivalent ratios:
6 : 4
21 : 14
The total delivery charge for delivering 4 pizzas is $9.00. At this same rate, how much would the total delivery charge be for delivering 12 pizzas?
Answer:
27
Step-by-step explanation:
9.00 divided by 4 = 2.25
2.25 x 12 = 27
Answer:
$27
Step-by-step explanation:
First, you would take 12(amount of pizzas the question is asking) divided by 4(amount of pizzas) and get 3
Then you multiply $9.00(the delivery fee for 4 pizzas) by 3(how much pizzas the question is asking divided by 4) and get $27
12 divided by 4 = 3
3 times $9.00 = $27
Question #5
Consider the equation.
72 +48 = 8
1+6)
Enter the unknown number that makes the equation true.
Your answer
Σ
Find the slope and standard form of the line that passes through the points (3,6) and (4,5)
Answer:
Slope = -1
Step-by-step explanation:
6-5/3-4=-1
(can I get brainliest please)
37) True or False: A high school principal surveys the community about the high school's basketball program.
The school sends surveys to 5,000 households and receives 120 forms back. This is an example of nonresponse.
Answer:
true
Step-by-step explanation:
17 is what percentage of 50?
Answer:
8.5 if 17 percent of 50
Step-by-step explanation:
Answer:
34%
Step-by-step explanation:
Hope this helps.
what is the LCD of 8/9 and 7/8
Answer:
72 I think
Step-by-step explanation:
I'm not 100% sure but I think its 72
Answer:
The Least Common Multiple (LCM) of 8 and 9 is 72,
and the Least Common Multiple (LCM) of 7 and 8 is 56.
what is 16 - 2t = t + 9 +4t
Answer:
t=1
Step-by-step explanation:
16-2t = t + 9 +4t
combine like terms
16-2t = 5t + 9
add 2t to both sides
16-2t+2t = 5t+9+2t
combine like terms
16=7t+9
subtract 9 from both sides
16-9=7t+9-9
combine like terms
7=7t
divide both sides by 7
t=1
Answer:
16=t+9+4t+2t
16=9+7t
16-9=7t
7=7t
t=1
A = 2lw – 21h + 2 wh
Solve for h
Brainliest
Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain
Answer:
Yes
Step-by-step explanation:
If you look at it. X is basically -2, -1, 0, 1, or 2.
Hope I helped and Pls Mark Brainliest
Which equation could be used to solve the question below?
Kitty made b cups of dough. She divided the dough into 3 equal clumps. Each of the dough clumps doubled in size. Now, each clump is made of 6 cups of dough. How many cups of dough did Kitty originally make?
A.
b × 6 ÷ 2 = 6
B.
b × 3 × 2 = 6
C.
b ÷ 3 ÷ 2 = 6
D.
b ÷ 3 × 2 =6
please help whoever is right i will mark brainliest
The park is 5 miles east of your home. The library is 4 miles north of the park. How far is your home from the library? Round your answer to the nearest tenth. Must show work to receive full credit.
Please help
Answer:
6.4
Step-by-step explanation:
4 squared plus 5 squared is 41 and then you square 41 which gives you 6.4
Are these ratios equivalent?
$4 per 7 items
$8 per 14 items
Answer:
yes
Step-by-step explanation:
4 by 7 is equivalent because 4 times 2 is 8 and 7 times 2 is 14
Answer:
Yes, the ratios are equivalent
Step-by-step explanation:
parallelogram =
2x, 3x - 15, 2x + 24, 2x
Work out the value of x.
X=2x +£2x -15) +2x +(2x +24) 180= 9x+7x = 9 +9x = 18
Answer:
Step-by-step explanation:
The above figure is a parallelogram and so - "the opposite sides of a parallelogram are equal"
so -
need help please help me if u can hlp me
Answer:
your b in y=mx+b is +3
Step-by-step explanation:
The color reference provided by the automotive manufacture is 44.21%. Does this known value match the measured value at the 95% confidence level
Answer:
This known value does not match the measured value at the 95% confidence level.
The 95% confidence interval for value is calculated as 42.92 to 43.78%,
Step-by-step explanation:
The complete question is:
Police have a hit-and-run case and need to identify the brand of red auto paint. The percentage of iron oxide, which gives paint its red color, was determined to be 43.35 ± 0.33% by one method of analysis using five measurements. The color reference provide by the automotive manufacture is 44.21%. What can you conclude about whether the sample matches the reference at a 95% confidence level?
Student's t test is used to compare the two values .
Here n=5
Degrees of freedom =ν= n-1= 5-1=4
The value from t- table for 4 d.f at 95 % confidence interval is 2.776
The test statistic is
x`± t ∝/2(v). S/√n
43.35 ± (2.776)(0.33)/√5
= 43.35 ± 0.43
= 43.78, 42.92
Here the 95% confidence interval for μ calculated is 42.92 to 43.78%, where as color reference provided by the automotive manufacture is 44.21%.
This known value does not match the measured value at the 95% confidence level.
The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basketball game and 6050$ was collected.How many children attended the basketball game?
Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.
Answer:
1300 children attended the basketball game
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
When Angelo cashed a check for $170, the bank teller gave him 12 bills, some $20 bills and the rest $10 bills. How many bills of each denomination did Angelo receive?
Answer:
7 ten dollar bills and 5 twenty dollar bills
Step-by-step explanation
He recieved 5 bills of $20 and 7 bills of $10.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following statement Angelo cashed a check for $170, the bank teller gave him 12 bills, some $20 bills and the rest $10 bills
We can write -
20x + 10y = 170
x + y = 12
So, we can write -
y = 12 - x
We can write -
20x + 10(12 - x) = 170
20x + 120 - 10x = 170
10x = 50
x = 5
then -
y = 7
Therefore, he recieved 5 bills of $20 and 7 bills of $10.
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HELPPPPPPPPPPPP]PPPPPP
Answer:
If Cora runs 1/2 mile per week and x is the number of weeks, then she will run 5+1/2x. Then determine how many weeks are in two and a half months (depends on which month it is as there are less weeks in February than in January!) but we could estimate 6.
For Hana, you will have 3+ 3/4 x First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.
Step-by-step explanation:
First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.
In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).
Answer:
the points are starting at 5y and the slope line goes up to (6, 1) and goes down to (-1, 4 ), (-2, 3), (-3, 2) and (-4, 1) The graph has 1x +5
going to desmos to graph it out you can see the slpe line going through (-4, 1) (-3, 2)
How do I solve this ?
Answer:
See attachment :D
Step-by-step explanation:
y = 2/3x + 2
This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.
The line intersects with points (-3,0) and (0,2).
Hope this is helpful ^^ Good luck with your test :D
Please help!!! I need help
Answer:
Step-by-step explanation:
What the hell is that oh no I am not doing that
A horse gallops 16 miles in 2 hours. How many hours would it take the horse to gallop 40 miles?
Answer: 5 Hours
Step-by-step explanation: Divide 2 by 16 to get how many hours it takes to run 1 mile. Then multiply that number by 40 to get how many hours it would take run 40 miles.
Answer: 6 hours
Step-by-step explanation: if 16×3=48 and 2×3=6 it would take approximately 6 hours
Six oranges cost $.90. How much will 9 oranges cost?
Answer: 1.35
Step-by-step explanation:
if:
6 oranges cost............................0.90 dollars
9 oranges will cost....................................?
(9*0.90)/6=1.35 dollars