Answers
Given : A inequality is given to us . The inequality is 19 ≥ t + 18 ≥ 11 .
To Find : The correct option between the given ones . To write the compound inequality with integers .
Solution : The given inequality to us is 19 ≥ t + 18 ≥ 11 . Let's simplify them seperately .
[tex]\red{\tt Case\:1}[/tex]
⇒ 19 ≥ t + 18 .
⇒ t + 18 ≤ 19 .
⇒ t ≤ 19 - 18 .
⇒ t ≤ 1 = 1 ≥ t . ..................(i)
[tex]\red{\tt Case\:2}[/tex]
⇒ t + 18 ≥ 11 .
⇒ t ≥ 11 - 18.
⇒ t ≥ -7 . ....................(ii)
On combing (i) & (ii) .
[tex]\Large\boxed{\green{\bf \red{\longmapsto} 1 \geqslant t \geqslant -7 }}[/tex]
This means that t is less than or equal to 1 but greater than or equal to (-7) .
Related Questions
3y – 28 > -9 solve the inequality
Answers
Answer:
[tex]y>\frac{19}{3}[/tex]
Step-by-step explanation:
[tex]3y-28>-9\\\\3y-28+28>-9+28\\\\3y>19\\\\\frac{3y>19}{3}\\\\ \boxed{y>\frac{19}{3}}[/tex]
Hope this helps.
If you apply the changes below to the absolute value parent function, fx) = x
what is the equation of the new function?
• Shift 5 units to the left.
• Shift 4 units down.
A. g(x) = 5x + 41 - 5
B. g(x) = 1x - 51 - 4
C. g(x) = 5x + 51 - 4
D. g(x) = 1x - 41 - 5
Answers
The required function after shifting its origin will be g(x) = |x + 5| - 4.
What is Shifting of Origin?
To shift the coordinates of origin to (h,k): Replace x by (x-h) and y by (y-k) in the given equation and get the new equation.
Here, given function f(x) = |x|
or y = |x|
Now, Shift 5 units to the left. x replaces with x - (-5) = x + 5
Shift 4 units down, y replaces with y -(-4) = y + 4
Now equation after shifting ,
y - k = | x - h|
y = |x -h| + k
y = |x - (-5)| +(-4)
g(x) = |x+5|-4
Thus, The required function after shifting its origin will be g(x) = |x + 5| - 4.
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Answer:
Step-by-step explanation:
A trampoline salesman makes $25,000 annually plus 6% commission on his total sales. If he sold $40,000 worth of trampolines this year, what are his total earnings? *
Answers
Multiply sales by 6%
40,000 x 0.06 = 2,400
Add that to his base pay:
2400 + 25000 = $27,400 total pay.
3x +
9y = -27
x + y = -1
Answers
Answer:
(x, y) = (3, -4)
Step-by-step explanation:
A graphical solution is often quick and easy.
(x, y) = (3, -4)
_____
These equations can be solved algebraically by dividing the first by 3, then subtracting the second.
(3x +9y)/3 -(x +y) = (-27)/3 -(-1)
x +3y -x -y = -9 +1
2y = -8
y = -4
x = -1 -y = -1 -(-4) = 3 . . . from the second equation
The solution is (x, y) = (3, -4).
If 4 out of 5 People at the picnic are children and there are 24 children at the picnic,many adults are there?
Answers
Answer:
6
Step-by-step explanation:
4/5 of the people at the picnic are children. There are 24 children. So 24 is 4/5 of the whole. You ÷4 to find 1/4. This is 6. So you add on the 6 as 1/4 add 4/5 equals the whole number of people there are at the picnic, 5/5. 24 add 6 is 30 so there are 30 le e at the picnic, and 6 adults.
find the distance between (-2,6) ,(4,8)
Answers
Answer:
[tex]\sqrt{40}[/tex] OR 6.324555
Remember to round accordingly if not intended to be answered in square root form!
Step-by-step explanation:
Use the distance formula
On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
Answers
Answer: Number of 5-point question = 4
Number of 2-point questions =8
Number of 4-point question = 16
Step-by-step explanation:
Let x = Number of 5-points question.
then, Number of 2- point question = 2x
Also, Let y = Number of 4-point question.
Now, Total question : x+y+2x =28
⇒ 3x+ y =28 (i)
Total marks = 5x + 2 (2x)+4=100
⇒ 5x+4x+4y=100
⇒ 9x+4y=100 (ii)
Multiply 3 on both sides of (i), we get
9x+3y = 84 (iii)
Subtract (iii) from (ii), we get
y= 16
Put this in (i0, we get
3x+(16)=28
⇒ 3x = 12
⇒ x=4
Now, Number of 5-point question = 4
Number of 2-point questions = 2(4)=8
Number of 4-point question = 16
Answer
Answer: Number of 5-point question = 4
Number of 2-point questions =8
Number of 4-point question = 16
Step-by-step explanation:
Let x = Number of 5-points question.
then, Number of 2- point question = 2x
Also, Let y = Number of 4-point question.
Now, Total question : x+y+2x =28
⇒ 3x+ y =28 (i)
Total marks = 5x + 2 (2x)+4=100
⇒ 5x+4x+4y=100
⇒ 9x+4y=100 (ii)
Multiply 3 on both sides of (i), we get
9x+3y = 84 (iii)
Subtract (iii) from (ii), we get
y= 16
Put this in (i0, we get
3x+(16)=28
⇒ 3x = 12
⇒ x=4
Now, Number of 5-point question = 4
Number of 2-point questions = 2(4)=8
Number of 4-point question = 16
Step-by-step explanation: got the answer from the last person who answered and they are correct
Find the missing values in the ratio table. Then write the equivalent ratios.
Burgers: 3, () , 9
Hot Dogs: 5, 10, ()
Equivalent ratios are: ()
Note, the ‘()’ is indicating the missing values needing to be filled.
Answers
Answer:
60 3 948 3
Step-by-step explanation:
im just diffrent
The required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the missing ratio in Burger be x and the ratio in the Hot dogs be y,
Now,
According to the question,
3 / 5 = x / 10
x = 6
Now,
x / 10 = 9 / y
Substitute the value of x,
6 / 10 = 9 / y
y = 90 / 6
y = 15
Thus, the required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.
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which of rhe following equations of the line is the most convient to use when there are two points identified on the line? A.)y=mx+b. C.) x/a+y/b=1 B.) y-y1=m(x-x1) D.)y-y1=y2-y1/x2-x1(X-X1)
Answers
Answer:
A
Step-by-step explanation: I am not for sure but I would think that cuz if your dealing with lines and point you gonna end up doing slope and slope is Y=MX+B
Use the bar model to add these fractions
Answers
Answer:
Not Sure how to solve this...
Step-by-step explanation:
BUT
5 minutes is equal to [tex]\frac{1}{12}[/tex]
10 minutes is equal to [tex]\frac{1}{6}[/tex]
15 minutes is equal to [tex]\frac{1}{4}[/tex]
30 minutes is equal to [tex]\frac{1}{2}[/tex]
14/25, 13%, 0.28, 7%, 21/100, 0.15 from least to greatest
Answers
Answer:
7%, 0.28, 0.15, 13%, 21/100, 14/25
Step-by-step explanation:
Hope this is right :)
An internet company charges a $100 set up fee, and then they charge $35 a month after that. What is the rate of change?
Answers
That’s the right answer
Can someone help me with the answer please
Answers
Answer:
D - x^2 + 9x +14
Step-by-step explanation:
I typed it into a problem solving website
What is the solution to this inequality?
4x + 2 ≤ -14 or 3x − 5 > 16
Answers
Answer:
x≤−4 or x>7
Step-by-step explanation:
When Sam woke up at 6am the temperature was 72°f. When he got home from school at 3pm,the temperature was 90°f. What was the percent increase?
Answers
Answer:
80%
Step-by-step explanation:
Which line has a slope of 12 and a y-intercept of 2?
Answers
Answer: The bottom left picture.
Step-by-step explanation:
The graph shows the linear line crossing through 2 on the y-axis, therefore the y-intercept is 2. The graph also shows the line increasing by going up 1 and over 2, resulting in the slope of the line being 1/2.
Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph of f(x) = x2 Write a rule for g.
g(x) =
Answers
Answer:
g(x)= x2
Step-by-step explanation:
g(x)=x2 = f(x)=x2
The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of [tex]\rm f(x) = (x-1)^2[/tex] then the function [tex]\rm g(x) = 2(x+4)^2[/tex].
Given :
[tex]f(x) = x^2-2x+1[/tex]The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of [tex]f(x) = x^2-2x+1[/tex].The following steps can be used to determine the rule for g:
Step 1 - Rewrite the given function f(x).
[tex]\rm f(x) = (x-1)^2[/tex]
Step 2 - Now, the graph is stretched vertically by a factor of 2.
[tex]= 2(x-1)^2[/tex]
Step 3 - Now, reflect the graph about the y-axis.
[tex]=2(-x-1)^2[/tex]
[tex]=2(x+1)^2[/tex]
Step 4 - Now, move to the left by 3 units.
[tex]=2(x+3+1)^2[/tex]
[tex]=2(x+4)^2[/tex]
Therefore, the function [tex]\rm g(x) = 2(x+4)^2[/tex].
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Write the equation in standard form using integers.
Y=2x+5
Answers
Answer: x = - 5/2 five is on top and 2 is bottom
In a recent year, about 20,700,000 passengers traveled by train in the United States. What is this number
written in scientific notation?
A
2.07 x 108 passengers
B
2.07 x 104 passengers
C
2.07 x 107 passengers
D
2.07 x 10
passengers
Answers
USE ESTIMATION Mr. Lycan is considering buying clay from two art supply companies. Company A sells 50-pound containers of clay for $24, plus $42 to ship the total order. Company B sells the same clay for $28, plus $25 to ship the total order. a. Write equations for the total cost of ordering clay from each company. b. Graph the equations on the same coordinate plane. Examine the graph to estimate how much Mr. Lycan would have to order for the cost of ordering clay from each company to be the same. c. Check your estimate by substituting into each original equation. How reasonable is your estimation? Justify your reasoning.
Answers
Answer:
y=$24x+$42 A
y=$28x×$25 B
Step-by-step explanation:
The required system of the equation is y = 42 + 24x and y = 25 + 28x, and a graph of the solution has shown.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
let x be the number of the 50 pounds containers of clay ordered.
According to the question,
For company A,
y = 42 + 24x - - - - (1)
For company B,
y = 25 + 28x - - - - (2)
Equating both the equation,
42 + 24x = 25 + 28x
17 = 4x
x = 17 / 4
x = 4.25
Put this value in equation 1
y = 42 + 24(4.25)
y = $144
Thus, the required system of the equation is y = 42 + 24x and y = 25 + 28x, and a graph of the solution has shown.
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2) Jimmy was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought five more. How many did
he start with if he now has 29?
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what is the y intercept of the table shown?
-1
1.5
-3
1
Answers
Answer:
-3
Step-by-step explanation:
the function increases by 2, so when you go backwards, the values will decrease by two hence, -3
How many cups of flour are needed to make three dozen dinner rolls
Answers
Answer:
85 rolls hdjsjs
Step-by-step explanation:
There's a lot
Answer:
85 rolls
Step-by-step explanation:
Plz brainlyest
5. Two blueberry farms are similar in shape. The ratio of the side lengths of
the farms is 5:6, and the smaller farm has a perimeter of 360 yards. The
cost to dig a trench is $0.75 per yard. What is the cost to dig a trench
around the larger blueberry farm?
Answers
Answer:It would cost $270 to dig
Step-by-step explanation:<!>Brainliest Apprecatied<!> :D
Answer: $324
Step-by-step explanation:
For this question, many people think the answer is 270, but that's wrong.
Since the ratio is 5:6 and the smaller farm perimeter we can put that into an ratio equation.
x will be the perimeter of the bigger farm
5/6=360/x
5x=2160
5x/5=2160/5
x=432 yards
That's the perimeter, now to find the cost it would be 432*0.75 which is $324.
how many feet is 14 meters
Answers
Answer:
45 ft. 11.18 in.
Step-by-step explanation:
Answer:
45.93176 feet
Step-by-step explanation:
1 meter = 3.28084 feet
3.28084(14) = 45.93176 feet
What is Multiplying polynomials?
Answers
Answer:
Polynomial multiplication is a process for multiplying together two or more polynomials.
(accidentally selected math)
Which of the following is not a function of the skin?
water proofing
contraction
vitamin D production
eliminating urea and ammonia
All of the following are functions of the subcutaneous fat except ____. *
padding
insulation
blood storage
energy storage
Answers
Answer:
The Vitamin D is good for the girls
Step-by-step explanation:
Blood storage
A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market research predicts that a positive test market results is 80% of successfully launched products and a positive market result for 30% of failed product launches. A) If a market test result comes back negative, what is the probability that the product will be successfully launched?
Answers
Answer:
The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Step-by-step explanation:
Denote the events provided as follows:
S = a product is successfully launched
P = positive test market result
The information provided is:
P (S) = 0.60
P (P | S) = 0.80
P (P | S') = 0.30
Then,
P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20
P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70
Compute the probability of positive test market result as follows:
[tex]P(P)=P(P|S)P(S)+P(P|S')P(S')[/tex]
[tex]=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60[/tex]
The probability of positive test market result is 0.60.
Then the probability of negative test market result is:
P (P') = 1 - P (P)
= 1 - 0.60
= 0.40
Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:
[tex]P(S|P')=\frac{P(P'|S)P(S)}{P(P')}[/tex]
[tex]=\frac{0.20\times 0.60}{0.40}\\\\=0.30[/tex]
Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
What is the measure of angle A?
Answers
Answer: B. 15 degrees. Hope it helped you :) please mark as brainliest!
what is 2 3/4 - 5/16
Answers
Answer:
2 7/16
Step-by-step explanation:
multiply both top and bottom of 2 3/4 to make it 12/16 then subtract from there.
Answer: 2 7/16
Step-by-step explanation: Your Welcome!