Answer:
x = -2.
y = 3.
Step-by-step explanation:
If y = 3x + 9
Substitute this value for y in the first equation.
4x + 5(3x + 9) = 7
4x + 15x + 45 = 7
19x = 7 - 45
19x = -38
x = -38/19
x = -2.
with this value of x, substitute -2 in the second equation
y = 3(-2) + 9
y = -6+9
y = 3.
check if your values are all correct
4(-2) + 5(3) = 7
-8 + 15 = 15 - 8 = 7
Correct!
help me please please
Answer:
17/18
Step-by-step explanation:
To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.
Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.
Answer:
r u just cheating ur way through a whole test lol
Step-by-step explanation:
its B or 17/18
Let f(x) = x+2/x+6
f^-1(-6) =
We can explicitly find the inverse. If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then
[tex]f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x[/tex]
Solve for the inverse :
[tex]\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x[/tex]
[tex]\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x[/tex]
[tex]1 - \dfrac4{f^{-1}(x) + 6} = x[/tex]
[tex]1 - x = \dfrac4{f^{-1}(x) + 6}[/tex]
[tex]f^{-1}(x) + 6 = \dfrac4{1-x}[/tex]
[tex]\implies f^{-1}(x) = \dfrac4{1-x} - 6[/tex]
Then when x = -6, we have
[tex]f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}[/tex]
Alternatively, we can first solve for x such that [tex]f(x) = -6[/tex]. Then taking the inverse of both sides, [tex]x = f^{-1}(-6)[/tex]. (The difference in this method is that we don't compute the inverse for all x.)
We have
[tex]\dfrac{x+2}{x+6} = -6[/tex]
[tex]x + 2 = -6 (x + 6)[/tex]
[tex]x + 2 = -6x - 36[/tex]
[tex]7x = -38[/tex]
[tex]\implies x = \boxed{-\dfrac{38}7}[/tex]
Solve the inequality below for t.
3 - 13t >/= -9 - 9t
Answer:
T is =/> 3
Step-by-step explanation:
Add 9t to both sides, 3-4t>/= -9 . Subtract 3 from both sides. -4t>/=-12
divide 12 by 4 for 3. Because 3 results in equality between both sides, it is equal, however if t is greater than 3, the lefthand side becomes greater than the right.
Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.
Answer:
b = 14
Step-by-step explanation:
Since both angles are diagonal each other, they are equal to each other.
5b = b + 56
-b -b (subtract b from both sides)
4b = 56
4 4 (divide both sides by 4 to solve for b)
b = 14
What is -3/4+2 3/4 O 3 1/2 O 3 3/4 O 2 1/2 O 2
Answer:
D. 2
Step-by-step explanation:
Common denominator is already presented which is 4.
-3/4 and 3/4 cancel each other out.
you can also convert to decimal form -3/4 + 2 3/4 is the same as:
-0.75 + 2.75 = 2.
Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed
Answer:
Step-by-step explanation: This is the answer
Help me with this question
Answer:
I don't have any idea of that question
Step-by-step explanation:
I'm sorry
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Each consecutive element of the series has one less blue points than the before element, with that, we conclude that the correct option is D, where there is only one blue point.
Which of the following is most likely the next step in the series?
Here we can see a series of 3 elements.
the first element is a circle with 4 blue points on its circumference, such that the points are connected to form a rectangle.
The next element is a circle with 3 blue points on it, such that when the points are connected a triangle is formed.
The third element is a circle, this time with 2 points, and the connection forms a segment.
So what we can see is that in each consecutive element the number of blue points on the circumference of the circles decreases by one, so the logical conclusion is that the next element will have only one point on its perimeter, then the correct option is D, where we can see only one blue point on the perimeter of the circle.
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hlep me plsssssssssssssssssssssssss
Answer:
B.
Step-by-step explanation:
It is not A because it does not make sense and does not match up.
It Is not C because that is just points and it is asking for a function.
D is wrong.
So It is B.
Here is the graph for B. It matches up.
[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]
[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]
Salaar, Waleed and Muazzam share $ 256. Waleed;s share is four times as much as Salaar. And Salaar's share is one-third of muazzam's. How much is each of their share?
Answer:
S 32, W 128, M 96
Step-by-step explanation:
W = 4S
S = 1/3M, or 3S = M
S + W + M = 256
Substitute
S + 4S + 3S = 256
8S = 256, S = 32
S = 32
W = 4S = 128
M = 3S = 96
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
Can someone please help me solve this
Answer:
all the numbers +
Step-by-step explanation:
A rectangular swimming pool is 4 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 1800 cubic feet.
Find the dimensions of the pool.
Answer:
19 x 23.5 x 4
Step-by-step explanation:
4 * x * (x + 4.5) =1800
Divide both sides by 4
x * (x + 4.5) = 450
Use distributive property
x^2 + 4.5x = 450
Move all terms to one side
x^2 + 4.5x - 450 = 0
Use quadratic formula to solve a = 1, b = 4.5, c = -450
-4.5 +- [tex]\sqrt{4.5^2 - 4 * 1 * -450}[/tex]/2
=-4.5 + - [tex]\sqrt{1820.25}[/tex] / 2
= -4.5 +- 42.664 / 2
=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19
19 x 23.5 x 4
I NEED HELP WITH THESE
I am pretty sure of my answers, so I just need someone to double check. Explanation is not needed because I know how to solve it, just needs to be checked. You can put one it you want.
Answer:
(b) 500 km (b) 6 secondsStep-by-step explanation:
1.The semi-major axis length is √47196900 = 6870 km. That distance from the center of the Earth means the satellite is ...
6780 -6370 = 500 . . . km
from the surface of the Earth.
The satellite is a maximum of 500 km from the Earth.
(It is a minimum of 250 km from Earth.)
__
2.The equation has a zero at t=6. When the car's velocity is zero, it is at a complete stop.
The car comes to a complete stop when time is 6 seconds.
(The car is still being accelerated, so it doesn't stay stopped.)
__
I prefer a graphing calculator for a quick solution. You can also solve this equation algebraically.
0 = 0.5t^2 -10.5t +45 . . . . t when v(t) = 0
t^2 -21t +90 = 0 . . . . . . . multiply by 2
(t -6)(t -15) = 0 . . . . . . . . factor
t = 6 or t = 15 . . . . . . . only t=6 is in the domain of the function
Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?
The size of each area is 3x
Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.
From the given parameters.
Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)xSo, Henry's garden is said to be divided into 12 equal size areas.
∴
The size of each area is;
[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]
[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]
= 3x
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x and y simplifying problem. Please explain how to do thiese. I will gove 15 points
[tex]\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y[/tex]
First, combine like terms:
[tex]\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y[/tex]
Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.
[tex]\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}[/tex]
[tex]\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}[/tex]
So the simplified expression would be
[tex]\dfrac7{12} x + \dfrac7{10} y[/tex]
How do you divide fractions? Can someone please explain step by step to get marked as brainliest!
When diving fractions, use KFC:
K eep the first fraction the same
F lip the second fraction upside down
C hange the divide sign to a multiply
After, just work it out multiplying the denominators and the numerators together getting your answer
Hope this helped you, have a good day bro cya)
Jake ran 4% miles in % of an hour. How fast did he run in one hour?
The perimeter of the equilateral triangle drawn below is 9b + 12.
The shape below is made of four of these triangles.
Find a simplified expression for its perimeter.
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP ME
Answer:
you are in the 45 and 56 zone so yes
Step-by-step explanation:
Which of the following cannot be used to prove that two triangles are congruent?
A.AAA
B.ASA
C.SSS
D.HL
Answer:
A
Step-by-step explanation:
:)
hope it helps
14 divided 4 and 7/8 written in simplest form
Answer:
7 and that is its simplest form
Step-by-step explanation:
thank me later
Answer:
4
Step-by-step explanation:
14 ÷ 4 = 3.5
3.5 and 7/8 = 4
i'd appreciate someones help !!!
Solve for angles x, y, and z. In the answer choices, the first number is for angle x. The second number is for angle y.
The third number is for angle z.
A)
65, 65, 65
B)
65, 115,65
C)
115, 65, 115
D)
115, 115, 115
I think its C sorry if its wrong
Answer asap! Need help before I go to sleep.
Answer:
Step-by-step explanation:
Parallel lines have identical slopes
4x - 7y = 9
7y = 4x - 9
y = (4/7)x - 9/7
so the parallel line has form
y = (4/7)x + b
plug in the point on the line
3 = (4/7)7 + b
b = -1
y = (4/7)x - 1
As you did not tell us where you live and what time you intend to go to bed, we have NO way of knowing your actual deadline
A builder makes a certain type of concrete by mixing together 1 part portland cement (made from lime and clay), 3 parts sand, and 5 parts crushed stone. If 765 ft^3 of concrete are needed, how many cubic feet of each ingredient does he need?
Answer:
85 ft^3 portland cement255 f^3 sand425 ft^3 crushed stoneStep-by-step explanation:
The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...
1/9 = portland cement
3/9 = 1/3 = sand
5/9 = crushed stone
Since the total is 765 ft^3, the ingredients required are ...
(1/9)(765 ft^3) = 85 ft^3 portland cement
(1/3)(765 ft^3) = 255 f^3 sand
(5/9)(765 ft^3) = 425 ft^3 crushed stone
Help help help help
Answer:
-1
Step-by-step explanation:
Which inequality matches the graph? A)x >4.B)x < 4.C)x = 4.D)x >_ 4 the line is at bottom of it for d
Answer: D
Step-by-step explanation: less than or equal to 4. graph leads to negative
20x^5 y^3 + 8x^6 y^3 - 4x^5 y^2
———————————————
4x^5 y^2
Answer:
1) 4x^{5} y^{2} (5y+2xy-1)
2) Implied to have no solution based on given context.
Step-by-step explanation:
Problem 1:
1) Find the Greatest Common Factor (GCF).
[tex]GCF=4x^{5} y^{2}[/tex]
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4x^{5}y^{2} (\frac{20x^{5} y^{3} }{4x^{5}y^{2} } +\frac{8x^{6}y^{3} }{4x^{5} y^{2} } +\frac{-4x^{5} y^{2} }{4x^{5} y^{2} } )[/tex]
3) Simplify each term in parentheses.
[tex]4x^{5} y^{2} (5y+2xy-1)[/tex]
Problem 2:
From the way the problem is given, there is no solution.
Genes are sections of DNA that code for a particular trait. Genes are?
Answer:
Genes are DNA transferred to off spring by parents
Answer:
Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.
Step-by-step explanation:
There are 8 triangles and 6 circles. What is the simplest ratio of total circles to total shapes
Ratio of total circles to total shapes is 4 : 7
An equation is an expression that shows the relationship between two or more variables and numbers.
There are 8 triangles and 6 circles. The ratio of total circles to total shapes is given by:
Ratio of total circles to total shapes = 8 circles : (8 + 6) shapes
Ratio of total circles to total shapes = 8 : 14 = 4 : 7
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