The solution of the given system of equation is (-19, 55).
In the given question we have to find the solution to the system of equations:
y = -3x-2 and 5x + 2y = 15
We can solve the system of equation using the substitution method.
In substitution method we have to put the the value of one variable from one equation to the other equation.
We have to equations:
y = -3x-2...................................(1)
5x + 2y = 15.............................(2)
Now putting the value of y from the equation 1 in equation 2
5x + 2(-3x-2) = 15
Now solving the equation using the distribution method.
5x - 6x - 4 = 15
Simplifying
-x - 4 = 15
Add 4 on both side we get
-x = 19
Now the value of x is -19.
Now putting the value of x in equation 1
y = (-3)*(-19)-2
y = 57-2
y = 55
Hence, the solution of the given system of equation is (-19, 55).
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The right question is:
What is the solution to the system of equations y = -3x-2, 5x+2y=15?
Describe how you know that (8+9)+3 is equivalent to 8+(9+3). What is the benefit to using this property
Answer:
Associative property of addition
Step-by-step explanation:
The associative property of addition is as follows :
a+(b+c) = (a+b)+c
We have,
a = 8, b = 9 and c = 3
So,
Using above property,
(8+9)+3 = 8+(9+3)
20 = 20
Hence, this is the required solution.
Write this word sentence as an equation. 82 is the difference of a number b and 24
Answer:
106 - 24 = 82
Step-by-step explanation:
b = 106, solve 106 - 24 and you get 82.
Hope this helped.
Answer:
b/24=82
Step-by-step explanation:
Since the difference of an equation is the outcome of division we place 82 as the answer.
Also, since 82 is greater than 24 we can assume that the variable "b" is larger than both 82 and 24.
The dimensions of a rectangle are shown. What is the area of the rectangle?
Your answer:
128xunits
8x + 10 units
16x + 20 units
15x2 + 46x + 16 units
Answer:
=(3x+8) (5x+2)
=15x2 + 46x + 16 units
What is the square root of my juicy as.s
A.1000000000000
B.10
C.1
D.1000000000000000000000000000000000000000000000000000000
Answer:
Hi! The answer to your question is C. 1 But im pretty sure to have a square root...you have to have a square butt..
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!
- Brooklynn Deka
Answer:
The answer is E.) 0
Step-by-step explanation:
Please, touch some grass.
Music
Read aloud
1) Sound effects
Answer:
Step-by-step explanation:
What am I supposed to do? If you don’t mind me asking. Like I’m not trying to waste your points at all just I’m confused I can def help tho if you tell me what I need to do
Answer:
Huh-?
Step-by-step explanation:
Use the information from the graphs to write the equation in y=ab*^x
Answer:
1). y = 4(1.75)ˣ
2). y = (2)ˣ
Step-by-step explanation:
1). Let the equation of the given exponential graph is,
y = a(b)ˣ
Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)
For point (0, 4),
4 = a(b)⁰
a = 4
For point (1, 7),
7 = 4(b)¹
b = [tex]\frac{7}{4}[/tex]
b = 1.75
Therefore, equation of the function is,
y = 4(1.75)ˣ
2). Similarly, equation of the second graph will be same in the form of
y = a(b)ˣ
Second graph passes through the points (0, 1) and (2, 4)
For (0, 1),
1 = a(b)⁰
a = 1
For (2, 4),
4 = 1(b)²
b = 2
Therefore, exponential function representing the graph will be,
y = 1(2)ˣ
y = 2ˣ
This graph shows the relationship between the number of cubic yards and total cost of topsoil at a garden shop.
Mulch
The equation, y=25x, represents
the cost, y, in dollars, of x cubic
yards of mulch at the garden shop.
Type an equation to represent the cost of the topsoil. Show your work.
and
How does the cost of the topsoil compare to the cost of the mulch?
Answer: y=30x
top soil is 5 more dollars than mulch
Step-by-step explanation:
to find y=30x
see what y equals when x equals 1
The cost of the topsoil is $5 more than the cost of the mulch.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, the equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop.
From the, graph we have coordinates (1, 30) and (2, 60)
We know that, slope of points is (y2-y1)/(x2-x1)
Now, (60-30)/(2-1)
= 30
Substitute, m=30 and (x,y)=(1, 30) in y=mx+c, we get
30=30(1)+c
c=0
Substitute, m=30 and c=0 in y=mx+c, we get
y=30x
Per 1 cubic yard
Topsoil is y=30x=$30 and cost of the mulch is y=25x=$25
So, difference in cost is 30-25=5
Comparing cost in both the situation, the cost of the mulch is less than topsoil
Therefore, the cost of the topsoil is $5 more than the cost of the mulch.
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whats the distributive property
Answer:
5n + 5a
Step-by-step explanation:
This would be your simplified algebra expression.
Answer:
The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods
Step-by-step explanation:
please help me asap
Answer:
-18 10
5 -3
Step-by-step explanation:
theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher
PLEASE HELP NO LINKS IM TIMED
it is c bc u divide and then it will be alone it is c
Answer:
3: multiply by -2
6: y= 2 2/9
Hope this helped!
Pls help! giving thanks. What is the slope of the line (picture above)
Answer:
[tex]slope = 1 [/tex]
Step-by-step explanation:
We can see that the graph cuts the x axis at , (-1,0) and y axis at (0,1) . So we can find the slope as ,
[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\implies slope = \dfrac{ 1-0}{0+1} \\\\\implies\boxed{\boxed{ slope = 1 }}[/tex]
Help me ASAP!!!!!!!
See pic attached
friend request me and I'll accept thanks xx
Step-by-step explanation:
cosA=b/h
cos41°=y/30
0.754=y/30
y=0.754×30
y=22.64
Answer:
y = x + 4
-3x + y = 2
x = -2y - 2
Step-by-step explanation:
b. 21.8°
5. Find the measure of the angle to the nearest tenth of a degree.
cos Y=0.5135
30.9
c.
4x^2=20x
factor step by step please?
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Can I Get Help Pls Damon drew a scale drawing of a swimming pool. The scale he used was 1 inch : 9 feet. The diving board is 2 inches long in the drawing. How long is the actual diving board?
Answer: 18 ft
Step-by-step explanation:
Given
Scale is 1inch:9 feet
1 feet= 12 inch
The dividing board is 2 inches long
Suppose the actual length of the diving board is x
[tex]\therefore \dfrac{1}{9\times 12}=\dfrac{2}{x}\\\\\Rightarrow x=\dfrac{9\times 12\times 2}{1}\\\\\Rightarrow x=216\ inch\ \text{or}\ 18\ ft[/tex]
What is the measure of arc QSR?
Answer:
i need a picture for this problem.
Step-by-step explanation:
Answer:
250°
Step-by-step explanation:
Got it right on edge
Which describes the translation of ABCD to A'B'C'D'.
A)
translation 3 units right and 6 units up
translation 6 units right and 3 units up
translation 3 units left and 6 units down
D)
translation 6 units left and 3 units down
Answer:
Translation 6 units left and 3 units down
Step-by-step explanation:
what do ducks short necks help them to do? pls help :/
Answer:
In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water
Step-by-step explanation:
hope this helps
hello please help thanks
Answer:
Condensation.
1/2 x 1 3/5 to the simplest form
Answer:
4/5
Step-by-step explanation:
Convert 1 3/5 into improper fraction
1 3/5 -> 8/5
1/2x8/5= 8/10
8/10= 4/5
Jon didn’t follow the order of operations. Explain what he did wrong.
i need help on my math test im not sure how to find the GCF of an equation so please help me
Answer:
2x^3
[tex]2x^{3}[/tex]
please answer homework please answer all 3
Answer:
Question 1: 4 x 11
Question 2: x = 7
Question 3: 32x
Step-by-step explanation:
how do we find the angles for an irregular trapezoid?
Answer:
all angles must add up to 180 to be a trapizoid so if they dont add up then its irregular
Step-by-step explanation:
What is another vocabulary word for slope?
Answer:
Rise-Over-Run/ slant
Step-by-step explanation:
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?
0.005
0.015
0.245
0.735
Answer:
0.245 because of him having the 75% chance of getting it and the test only being 98%
Step-by-step explanation:
its 0.245
Answer:
its 0.245
Step-by-step explanation:
I used the big fat mega thinking side of meh brain im smart
2. Felix visited a math website that featured
a random number generator. He used the
generator to create a list of five random
integers. felix found the correct sum of the five integers. what is the correct sum?
The polygons are similar. Find the value of x.
Answer:11
Step-by-step explanation:
Matt decides the length of his table will be 15 in. He calculates that the area of the table is 30 in. squared. Determine if Matt’s calculation is correct
Answer:No Matt's calculation is not correct.
Step-by-step explanation:
We have to multiply by the number of the area.If it is 4 inches we multiply by 4
15 x 4 =60
A=4 inches squared
A=LxW (length x width )
so you can say that:
Matt is incorrect because He skipped the step of multiplying 2 by 2 in the formula which is where we get 4 from.
solve for x
2 + x^2 = 18
Answer:
16
Step-by-step explanation:
Answer:
4 and -4
Step-by-step explanation:
To solve, just isolate x
2+x^2=18
subtract both sides of the equation by 2
x^2=16
find the square root of 16
(remember, no matter if a number is positive or negative, if it is squared, it automatically becomes positive)
to get:
x=4
and
x= -4