Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
Line segment JK in the coordinate plane has endpoints with coordinates \left(-4,11\right)(−4,11) and \left(8,-1\right)(8,−1).Supposed J, P, and K are collinear on segment JK, and JP:JK=\frac{1}{3}JP:JK=1/3 . What are the coordinates of P?
Answer:
(-1, 8)Step-by-step explanation:
Given P to be the point that divides the coordinates J and K in the ratio 1:3
then the coordinate of point P will be xpressed as;
P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]
Given J = (-4, 11) and K = (8, -1)
[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]
substituting the given parameters into the line division formula
[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]
Hence the coordinates of P is (-1, 8)
Write the sentence as an equation
333 is equal to the product of c and 254
Answer:
254c = 333
Step-by-step explanation:
254c = 333
Which of the following statements contain a variable? Check all that apply.
A. The length of the rope.
B. She arrived at 2 o'clock.
C. Half the height of the building.
D. There are 12 inches in a foot.
Answer:
A and C
Step-by-step explanation:
Took the test :/
Which of the relations below are functions? Justify your answer.
d. For each graph above, state the domain and range.
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
8hiobhjgjgjvygvm,dfndfjkgnvabjchdbsnfbhj
Answer:
d
Step-by-step explanation:
bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. is this function continuous or discrete?
Answer:
2.80×50
Step-by-step explanation:
2.80×50 step by step
REASONING A high school band was selling ride tickets for the school fair. On the first day, 250 children’s tickets and 150 adult tickets were sold for a total of $550. On the second day, 180 children’s tickets and 120 adult tickets were sold for a total of $420. What is the price for each child ticket and each adult ticket?
a. Select a system of equations to represent this situation. Let x represent the cost of children’s tickets and y represent the cost of adult tickets.
A)
250x+120y=550 ; 180x+150y=420
B)
180x+150y=420 ; 180x+120y=420
C)
250x+150y=550 ; 180x+120y=420
D)
250x+150y=420 ; 180x+120y=550
The system of equation should be C) 250x+150y=550 ; 180x+120y=420
Important information:On the first day, 250 children’s tickets and 150 adult tickets were sold for a total of $550. On the second day, 180 children’s tickets and 120 adult tickets were sold for a total of $420. Let x represent the cost of children’s tickets and y represent the cost of adult tickets.Equation:
250x+150y=550 ; 180x+120y=420
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HELLPP WILL MARK YOU BRAINLIEST
Answer:
≈ 7.28
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(- 3, 3)
AB = [tex]\sqrt{(-3+5)^2+(3+4)^2}[/tex]
= [tex]\sqrt{2^2+7^2}[/tex]
= [tex]\sqrt{4+49}[/tex]
= [tex]\sqrt{53}[/tex] ≈ 7.28 ( to the nearest hundredth )
Find 7x+y when x=4 and y=5. *
Answer:
7x+y, when x+4 and y+5
7(4) + 5=
28+5=
33
Step-by-step explanation:
Hope this helps. :)
-2(4x + -4) - 3x - 2 =34
Answer:
x = -28/11
Step-by-step explanation:
-2(4x + -4) - 3x - 2 =34
Distribute
-8x+8 -3x-2 =34
Combine like terms
-11x +6 = 34
Subtract 6 from each side
-11x+6-6 = 34-6
-11x = 28
Divide each side by -11
-11x/-11 = 28/-11
x = -28/11
Answer:
x= -28/11
Step-by-step explanation:
Multiply -2 by 4x +4
That equals -8x+8
So the equation is now
-8x+8+3x -2 = 34
Now combine like terms
11x+6=34
Subtract 6 from both sides
11x=28
divide by 11 on both sides
x = -28/11
having problems with geometry homework, help me please
Answer:
[tex]XZ=146[/tex]
Step-by-step explanation:
Since [tex]M[/tex] is the midpoint of segment [tex]XZ[/tex]:
[tex]XM+MZ=XZ[/tex]
[tex]XM=MZ[/tex]
Identify your known values:
[tex]XM=2x+35\\MZ=5x-22\\[/tex]
Solve for [tex]x[/tex]:
[tex]2x+35=5x-22[/tex]
Subtract [tex]35[/tex] from both sides of the equation:
[tex]2x=5x-57[/tex]
Subtract [tex]5x[/tex] from both sides of the equation:
[tex]-3x=-57[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]-3[/tex]:
[tex]x=19[/tex]
Substitute:
[tex]XM=2(19)+35\\MZ=5(19)-22[/tex]
Solve:
[tex]XM=73\\MZ=73[/tex]
Again, we know:
[tex]XM+MZ=XZ[/tex]
Therefore:
[tex]XZ=73+73[/tex]
Solve:
[tex]XZ=146[/tex]
At the fair the ratio of male to females was 8:6. If there are 112 people at the fair how many males are there?
Answer:
64
Step-by-step explanation:
Let the common multiplier of the given ratio be x.
Therefore,
Number of males = 8x
Number of females = 6x
[tex]8x + 6x = 112 \\ 14x = 112 \\ x = \frac{112}{14} \\ x = 8 \\ number \: of \: males = 8x = 8 \times 8 = 64 \\ [/tex]
Find the degree.
18x^4 y2 + 2x^5
Answer:
answer is 5
Step-by-step explanation:
I used a calculator
What is objective ??
Answer:
In math :The objective function is a mathematical term that describes how different variables contribute to a certain value that is being sought to be optimized.
In science: Scientific objectivity is a characteristic of scientific claims, methods and results. It expresses the idea that the claims, methods and results of science are not, or should not be influenced by particular perspectives, value commitments, community bias or personal interests, to name a few relevant factors.
In ela: Being the object or goal of one's efforts or actions. not influenced by personal feelings, interpretations, or prejudice; based on facts; unbiased: an objective opinion. ... being the object of perception or thought; belonging to the object of thought rather than to the thinking subject (opposed to subjective).
Step-by-step explanation:
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in a month, What will be the change in Jennys total allowance? A $7.20 B $5.40 C -$6.40 D -$7.20
Answer:
D -$7.20
Step-by-step explanation:
If she takes (substance) $2.40 every times she forgets to do a chores you have to substance but first you have to multiply because she forgets 3 times 2.40 × 3 is 7.20but since she taking it away it would be negativeso your answer is -$7.20
I hope this helps
$7.20 will be Jennys total allowance.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.
If she forgets three times in a month.
Thus, Jennys total allowance will be
=2.40 x 3
=$7.20
Hence, $7.20 will be Jennys total allowance.
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Find the area of the triangle defined by the coordinates (-3,-4), (-7,0), and (-3,4).
A)
10 square units
B)
12 square units
14 square units
D)
16 square units
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: A It is too strong. B It is too weak. C It is just right.
Answer:
C. It is just right.
Step-by-step explanation:
We want to compare the ratios ...
bags : liters = 15 : 2
and
bags : liters = 90 : 12
If we multiply the numbers of the first ratio by 6, we see they are identical to those in the second ratio:
(15)(6) : (2)(6) = 90 : 12
The ratio of bags to liters for Peggy's tea matches the ratio Kermit likes. He will think it is just right.
Answer:
C its just right
Step-by-step explanation:
The ratio of red cars to blue cars in a parking lot was 5:3 . If there was 40 red cars , how many blue cars were there ?
express 15x^1/3 y ^1/5 using a radical
Answer:
C
Step-by-step explanation:
[tex]15x^{\frac{1}{3} }y^{\frac{1}{5} }\\\\=15x^{\frac{5*1}{5*3} }y^{\frac{3*1}{3*5} }\\\\=15x^{\frac{5}{15} }y^{\frac{3}{15} }\\\\=15\sqrt[15]{x^{5}y^{3} } \\\\[/tex]
The expression 15x^(1/3) y^(1/5) can be written as 15 * ∛x * ∜y
How to express 15x^(1/3) y^(1/5) using a radical?To express 15x^(1/3) y^(1/5) using a radical, we will start by writing each term with a common base.
Now express x^(1/3) as a radical. We know x^(1/3) is the cube root of x, this is rewritten as ∛x.
Now, we express y^(1/5) as a radical. We know that y^(1/5) is the fifth root of y, so we is rewritten it as ∜y.
Putting it all together, we have:
15x^(1/3) y^(1/5) = 15 * ∛x * ∜y.
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what the answer to -3-z=?
Hey there!☺
[tex]Answer:\boxed{-z-3}[/tex]
[tex]Explanation:[/tex]
[tex]-3-z[/tex]
-3 + -z Add together
-z - 3
Hope this helps!
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
Answer:
12/35
Step-by-step explanation:
Given the expression;
-4/5(3/5)(-6/7)(5/6)
First multiply the first two brackets
-4/5×3/5
= -12/25
Multiply the last expression in its lowest term
= -6/7×5/6
= -30/42
= -15/21
= -5/7
Multiply the resulting expressions together
= -12/25×-5/7
= -12/5×-1/7
= 12/35
Hence the beat estimate for the actual product is 12/35
Answer:
B
Step-by-step explanation:
Took the test ;)
Write the equation of the line that passes through the given points (-6, 0) and (0, 3)
Answer:
Step-by-step explanation:
Put (-6,0) and (0,3) into a table of values
form of the equation: mx+b
x -6 0
y 0 3
3/-6=-0.5 (m)
3=b (the value of y when x=0)
equation: y=0.5x+3
ana wants to paint her dogs doghouse. she has 4 colors: Green,Maroon,blue and wheat. one color will cover the walls and another color will be us for the trim.(for example, green walls with wheat trim=GW). which of these answers show all the possible color conbination
Answer:
Step-by-step explanation:
Let us take this one by one. One color can pair with three colors.
Green = Maroon, Blue, Wheat = GM, GB, GW
Maroon = Green, Blue, Wheat = MG, MB, MW
Blue = Green, Maroon, Wheat = BG, BM, BW
Wheat = Green, Maroon, Blue = WG, WM, WB
So the combinations are:
GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB
Which is letter B.
Answer:
A.
Step-by-step explanation:
The coordinates of point T are (0,3). The midpoint of ST is (1, -5). Find the coordinates of point S.
Answer:
M(3/2,−9/2)
explaination:
the midpoint of a segment is the average values of the endpoint coordinates ie midpoint of ( x 1 , y 1 ) , ( x 2 , y 2 ) M ( x 1 + x 2 2 , y 1 + y 2 2 ) we ahve ( 3 , − 6 ) , ( 0 , − 3 ) ∴ M ( 3 + 0 2 , − 6 + − 3 2 ) M ( 3 2 , − 9 2 )
Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 6 minutes, while player 2 runs 1 lap every 10 minutes. If player 1 and player 2 begin their run at the same time and location on the field, in how many minutes will they meet to begin their next lap together?
They will meet to begin the next lap together
Answer:
30 minutes
Step-by-step explanation:
Think of it as a fractions. Player 1: 6 min./1 lap, Player 2: 10 min./1 lap. So in order to do this you have to find the greatest common factor. The GCF is 30. [learned this 2 yrs ago, im not entirely sure]
3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
Answer:
x=6.2
Step-by-step explanation:
3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
6x-12+3x+1=5x+21-x-1
combine like terms:
9x-11=4x+20
move variables to same side by sub 4x and add 11
5x=31
x=6.2
Rachel was playing a game on her computer out of 20 questions she answered 7 correctly at this rate how many questions should rachel answer correctly if she answered a total of 160 questions
Answer:
56
Step-by-step explanation:
(7/20)=(x/160)
160(7/20)=x
x=56
Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2). What is the scale factor of the dilation?
A.) 12
B.) 8
C.) 3
D.) 1/3
Answer: The Answer is C
I just took the test
Step-by-step explanation:
The scale factor of the dilation is 3. The correct option is C.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
From the given image:-
The initial size in the image is calculated as 11 - 2 = 9
The dilated size in the image is calculated as 5 - 2 = 3
The scale factor will be given as:-
Scale factor = ratio of the initial size to the dilated size
Scale factor = Initial size / Dilated size
Scale factor = 9 / 3 = 3
Therefore, the scale factor of the dilation is 3. The correct option is C.
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What made the two equivalent fractions 1/2 and 5/10 have the same value
Answer:
1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.
Hope this helps!
Multiply the fraction by 5/5 makes them equivalent fraction.
what is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/2 and 5/10
Now, to make fraction equivalent we have to find the factorizing factor.
As, 1/2 x 5/5= 5/10
Hence, multiply the fraction by 5/5 makes them equivalent fraction.
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What’s the value of 2^3? If you could explain that’d be amazing
Answer:
8
Step-by-step explanation:
2 (2)(2)
2 times itself 3 times.
Answer: 8
Step-by-step explanation: Since 2 is to the power of 3 that means multiply by itself 3 times, so 2 x 2 x 2 = 8.
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