Answers
Related Questions
Find the equation of the linear function x 1 2 3 4 y 6 9 12 15
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Answer:
The equation of the linear function is y = 3x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (1, 6) and (2, 9)
∴ x1 = 1 ad y1 = 6
∴ x2 = 2 and y2 = 9
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{9-6}{2-1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
∴ m = 3
→ Substitute the value of m in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of any
point on the line
∵ x = 1 and y = 6
∴ 6 = 3 (1) + b
∴ 6 = 3 + b
→ Subtract 3 from both sides
∵ 6 - 3 = 3 - 3 + b
∴ 3 = b
→ Substitute the value of b in the equation above
∴ y = 3x + 3
∴ The equation of the linear function is y = 3x + 3
True or false;
"All linear functions have
exactly one x-intercept."
Explain your thinking
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Answer: True
Step-by-step explanation:
If a function is linear, it only goes in one direction, which means it can only intercept the x-axis one time.
When x=1/3 and y=1/6, −2x+8y=
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Answer:
The answer is 2/3.
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
-2x+8y
-2(1/3)+8(1/6)
=2/3
Simplify:
4a - (-3b) + (-2c)
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Answer:
4a-2c+36
Step-by-step explanation:
that is it
What is 325 percent of $120? Use the diagram to solve the problem.
A 2-column table with 5 rows. Column 1 has entries 100 percent, 100 percent, 100 percent, 25 percent, Total 325 percent. Column 2 has entries 120 dollars, 120 dollars, 120 dollars, A, Total B.
A =
B =
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Answer: 390 I’m sorry if it was wrong but that what I got
Answer: A: 30 B: 390.
Winston plans to hire a moving company to help him
move. The company charges $80 per hour and a flat
rate of $150 for the truck and packaging materials.
Winston wants to spend no more than $500 on
the total moving costs. If the company charges for
a whole number of hours, what is the maximum
number of hours for which Winston can hire the
moving company?
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Cassandra's money that she makes from selling cookies can be determined by the equation y = 2X -
20. To not lose money she has to sell over 10 cookies per day but she only makes a batch of 15
cookies each day. What is the range in this situation if she does not lose money?
Answer choices shown in picture. Please help! I put 45 points and i’ll give you a brainliest if it’s correct!
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Answer:
E
Step-by-step explanation:
Because the y-intercept is (0,-20)
(2x+1)(x+3)
what is the answer
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Answer:
2x^2 +7x+3
Step-by-step explanation:
(2x+1)(x+3)
We can solve equations like this using the FOIL (First Outside Inside Last) method.
(2x)(x)+(2x)(3)+(1)(x)+(1)(3) -> 2x^2+6x+x+3
Now we can simplify using like terms
2x^2+7x+3
Between what two consecutive number does - 12 square root lie ?
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Answer:
3 and 4
Step-by-step explanation:
The quotient of 2.6 and –2.6 is
.
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Answer:
1
Step-by-step explanation:
Answer:
the actual answer to this question you have asked would actually be -1 due to the rule when it comes to dividing a positive and a negative so first we would 2.6 divided by 2.6 we know that it is a negative so we would make it -1
Step-by-step explanation: so. out of he answer choices choose A. -1
mark brainliest
Help me what’s the answer.
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Answer:
Answer 3
Step-by-step explanation:
We know if two line pass through each other that the opposite angles will always be equal. Do we know it is simalar and that it is angle angle (aa), not angle side angle (asa). And we can also figur out GHF is similar to KHJ because it is a mirror, unlike JHK.
What is the final amount if 943 is decreased by 13% followed by a further 6% decrease?
Give your answer rounded to 2 DP.
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Answer:
943-13% = 820.41
820.41 - 6% = 771.1854
Step-by-step explanation:
Please help:((((
I attached the image of the question
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1 point
6. At five below there is a discount of $5 for every 4 items you buy. If the
receipt show discount of $20 how many items did you buy?*
HINT: This problem is similar to #6, page 90
O A You bought 20 items
B You bought 15 items
C You bought 16 itmes
D You bought 8 items
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c. 5x4=20
4x4=16 items.
f y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
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Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
sssssssssssssssssssssssss
a man pay rs. 14404 Income Tax at the rate of Rs 2 per Rs 100 find his income?
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sara y su hermana alejandra, tienen que ir al mercado a comprar. saben que una sandía les cuesta q 10.00, un banano q 2.00, una manzana q 1.00, una docena de aguacates q 36.00. si su mamá les pide que compren: una sandía, una docena de bananos y 2 aguacates, ¿cuánto gastarán?
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Answer:
40.00
Step-by-step explanation:
una sandia 10.00
un banano 2.00
un aguacate 3.00 (porque una docena equivale 12 artículos; 36/12 es 3)
una sandía 10.00
una docena de bananos 12(2.00) = 24.00
dos aguacates 2(3.00) = 6.00
10.00 +24.00 +6.00
=40.00
Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 1, and C at ordered pair 4, 1.
What is the length of side AB of the triangle?
2
Square root of 20
6
Square root of 38
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Answer:
square root of 20
Step-by-step explanation:
Answer:
sq root of 20
Step-by-step explanation:
The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. A 2-column table with 5 rows. The first column is labeled time (minutes)t with entries 5, 10, 15, 20, 25. The second column is labeled oven temperature (degree Fahrenheit) f(f) with entries 315, 285, 260, 235, 210. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
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Answer:
C. 300
We need to find the temperature that most resembles with the model
We can easily see the graph if we plot it using a calculator
f(t) = 349.2(0.98)^t
Case a. 0
Zero is only achievable as the cooling time goes to infinity. This is not the case.
Case b. 100
for f = 100,
t ≈ 61.6,
which is out of the values of the table
Not the correct option
Case c. 300
for f = 300,
t ≈ 7.5,
which is in range with the values of the table
Answer:
CCCCCC
Step-by-step explanation:
Consider the diagram.
Lines AC and RS are
coplanar.
parallel.
perpendicular.
skew.
Answers
Answer: Skew
Step by step: Because it is
Please help me please thank you so much in advance
Answers
Answer:
51 degrees
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1,5) and (-7, -7).
Answers
Answer:
The equation of the perpendicular bisector is y = [tex]\frac{-1}{2}[/tex] x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineThe rule of the mid-point is M = ([tex]\frac{x1+x2}{2},\frac{y1+y2}{2}[/tex])The product of the slopes of the perpendicular lines is -1, that means if the slope of one is m, then the slope of the other is [tex]\frac{-1}{m}[/tex] (we reciprocal m and change its sign).∵ A line passes through points (-1, 5) and (-7, -7)
∴ x1 = -1 ad y1 = 5
∴ x2 = -7 and y2 = -7
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{-7-5}{-7--1}[/tex] = [tex]\frac{-12}{-7+1}[/tex] = [tex]\frac{-12}{-6}[/tex] = 2
∴ m = 2
→ Reciprocal the value of m and change its sign to find the slope of
the line perpendicular line
∴ m⊥ = [tex]\frac{-1}{2}[/tex]
→ Substitute in the form of the equation above
∵ y = [tex]\frac{-1}{2}[/tex] x + b
∵ The ⊥ line is also the bisector of the given line, find the mid-point
of the given line because it is also lying on the ⊥ line
∵ M = ([tex]\frac{-1+-7}{2},\frac{5+-7}{2}[/tex]) = ([tex]\frac{-8}{2},\frac{-2}{2}[/tex]) = (-4, -1)
∴ M = (-4, -1)
→ Substitute the coordinates of M in the equation of the ⊥ line above
∵ x = -4 and y = -1
∴ -1 = [tex]\frac{-1}{2}[/tex] (-4) + b
∴ -1 = 2 + b
→ Subtract 2 from both sides
∴ -3 = b
→ Substitute the value of b in the equation
∴ y = [tex]\frac{-1}{2}[/tex] x + -3
∴ y = [tex]\frac{-1}{2}[/tex] x - 3
∴ The equation of the perpendicular bisector is y = [tex]\frac{-1}{2}[/tex] x - 3
Write the point slope form of the equation of the line through the given slope through (5,3) ,slope =-1/5
Answers
Answer:
y-3= -1/5(x-5)
Step-by-step explanation:
point slope form is --> y-y,=m(x-x,)
commas represent 1's.
so
-1/5= m
3=y,
5=x,
Answer:
[tex]y-3= -\frac{1}{5}(x-5)[/tex]
Step-by-step explanation:
Fill in what you know: ([tex]y=-\frac{1}{5}x+b[/tex])Solve for b with test point (5, 3): ([tex]3=-\frac{1}{5}*5+b[/tex])[tex]b=4[/tex]Convert to point-slope form: [tex]y-3= -\frac{1}{5}(x-5)[/tex]1/3 ÷ (-2 2/3)=
what is the answer to this
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Answer:
-0.125 or -1/8
HELP! The value of y is directly proportional to the value of x. Given y = 11 when x = 77. What is the value of y when x = 98?
17
7
686
14
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Answer:
The answer should be 14.
Step-by-step explanation:
14×7=98
5/-8 divided by 1 3/7
Answers
Answer:
3
Step-by-step explanation:
You would do 3/5 =6 then do 13/7 = 18/6=3
help me
the question about algebra
➡️do not inconsequential and must with and must be accompanied by steps for the process
thanks
Answers
9514 1404 393
Answer:
(x, y, z) = (8√7/105, 2√7/21, 4√7/35)
Step-by-step explanation:
The algebra is straightforward, if tedious.
We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...
√X = √(Y +a) +√(Z +a) . . . . [eq1]
√Y = √(Z +b) +√(X +b) . . . . [eq2]
√Z = √(X +c) +√(Y +c) . . . . [eq3]
__
As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.
The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.
X = Y +a + 2√((Y+a)(Z+a)) +Z +a
X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical
(X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again
X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2
Subtracting the right side gives ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]
Then the remaining equations are ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]
Subtracting [eq6] from [eq5] gives a relation between Y and Z:
-4bY +4cZ = 0
Z = bY/c . . . . [eq7]
Substituting this into [eq4], we have ...
X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0
X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]
Subtracting [eq5] from [eq4] gives a relation between X and Y:
-4aX +4bY = 0
Y = aX/b . . . . [eq9]
Substituting this into [eq8], we have ...
X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0
Dividing by X* gives a linear equation in X:
X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0
X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))
Substituting the above values for a, b, c, we have ...
X = 64/1575
x = √X = √(64/1575) = 8/(15√7)
Y = X(25/16)
y = x(5/4) = 2/(3√7)
Z = Y(36/25)
z = y(6/5) = 4/(5√7)
The solution is ...
x = 8√7/105 ≈ 0.201581y = 2√7/21 ≈ 0.251976z = 4√7/35 ≈ 0.302372_____
* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.
Jana and Tim both sell cleaning products to local housecleaning services. When Jana orders from the manufacturer of the products she sells, she is given a 15% discount on her total purchase, and she must pay a $15 shipping fee. Each of Tim's orders to his manufacturer is charged at 85% of the full purchase price of the products, and he pays a $4 handling fee, plus $11 for shipping. Choose ALL of the statements that are true. When Jana and Tim purchase products having the same total value, their costs for the purchases will always be the same. Jana and Tim will never spend exactly the same amount on purchase orders to their manufacturers. Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100. If Jana switches to Tim's manufacturer for her product purchases, her cost will decrease. If Tim switches to Jana's manufacturer for his product purchases, his cost will remain the same.
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Answer: Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100.
Step-by-step explanation:
Jana and Tim would only be incurring same amount when both total purchase is to a value of $100. This is so because by purchasing a goods worth same amount, they both end up incurring $15 dollar additional cost. Jana would spend $15 on shipping her goods, while Tim would pay $4 Handling fees and $11 dollar shipping fee which would also amount to $15. What this means is total spent for both Jana and Tim would amount to $115 each.
PLEASE help i need help
Answers
Answer: B = D
because we have:
[tex]x^{1/3}.x^{1/3}.x^{1/3}=x^{1/3+1/3+1/3}=x^{3/3}=x^{1}=x[/tex]
[tex]\frac{1}{x^{-1} }=\frac{1}{\frac{1}{x} }=x[/tex]
Step-by-step explanation:
Please help! Thank you
Answers
Answer:Equilateral
Step-by-step explanation: