Answer:
x = -7
y = 47
Step-by-step explanation:
Given the system of equation
y = −8x − 9 ... 1
y = −6x + 5 ...2
Equating both expressions
-8x - 9 = -6x + 5
Collect like terms
-8x + 6x = 5 + 9
-2x = 14
x = 14/-2
x = -7
Substitute x = -7 into equation 1.
From 1: y = −8x − 9
y = -8(-7) - 9
y = 56 - 9
y = 47
Hence the solution to the system of equations (x, y) is (-7, 47)
A restaurant offers hamburgers with one, two, or three patties. Let XXX represent the number of patties a randomly chosen customer orders on their hamburger. Based on previous data, here's the probability distribution of XXX along with summary statistics: X=\text{\# of patties}X=# of pattiesX, equals, start text, \#, space, o, f, space, p, a, t, t, i, e, s, end text 111 222 333 P(X)P(X)P, left parenthesis, X, right parenthesis 0.400.400, point, 40 0.500.500, point, 50 0.100.100, point, 10 Mean: \mu_X=1.7μ X =1.7mu, start subscript, X, end subscript, equals, 1, point, 7 Standard deviation: \sigma_X\approx0.67σ X ≈0.67sigma, start subscript, X, end subscript, approximately equals, 0, point, 67
Answer:
3.4$ 1.34 $
Step-by-step explanation:
Answer:
on khan academy it is ut=1.2 tickets at~3.8 ticketsStep-by-step explanation:
If AUVW - ARST, what is the value of x?
Enter your answer in the box.
V
30
W
S
X
T
42
21
U
IR
X=
1
Answer: 15
Step-by-step explanation:
[tex]\dfrac{ST}{VW} =\dfrac{SR}{VU} \\\\ST=21\\VW=30\\SR=21\\VU=42\\\\\dfrac{x}{30} =\dfrac{21}{42} \\\\x \times 42=21 \times 30\\x \times 42=630\\x \times 42 \div 42=630 \div 42\\x=15[/tex]
which pair of of expressions are equivalent? A. 10(x+4) and 10x+14 B. 3(x+5) and 3x + 5 C. x+x+x+1+1+1 and 3(x+1) D. x+x+x+x+1+1+1+1 and 8x
Answer:
C. x+x+x+1+1+1 and 3(x+1)
Step-by-step explanation:
Algebraic Expressions
Some algebraic expressions are equivalent to others if the correct operations are done on them.
A. 10(x+4) must be operated by multiplying 10 by x and 10 by 4, thus:
10(x+4) = 10x + 40.
This choice is not correct
B. 3(x+5) must be operated by multiplying 3 by x and 3 by 5, thus:
3(x+5) = 3x + 15.
This choice is not correct
C. x+x+x+1+1+1 is equivalent to an expression where like terms are collected, that is. x+x+x=3x and 1+1+1=3, thus:
x+x+x+1+1+1=3x+3=3(x+1)
This choice is correct
D. x+x+x+x+1+1+1+1 in a similar way as explained above, like terms must be correctly collected: D. x+x+x+x=4x and 1+1+1+1=4, thus
D. x+x+x+x+1+1+1+1 = 4x+4 = 4(x+1)
This choice is not correct
Let f(x) be an exponential functionWhich transformations to the graph of f(x) would describe e - f(x - 3) ?
Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
9514 1404 393
Answer:
reflection over the x-axistranslation up 'e' units and right 3 unitsStep-by-step explanation:
The transformation ...
g(x) = a×f(x-h) +k
performs a vertical stretch by the factor 'a', and a translation by (h, k), which is h units right and k units up. When 'a' is negative, there is a reflection over the x-axis.
Here, we have 'a' = -1, h = 3, k = 'e'. So, the graph of f(x) has been ...
reflected over the x-axis
translated right by 3 units
translated up by 'e' units
__
Additional comment
We don't know if your 'e' is a typo. When talking about exponential functions, 'e' often refers to the base of natural logarithms, an irrational number approximately equal to 2.718281828459045...
Here's a graph of an exponential function transformed as you have indicated.
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
49r² s+42r² s+28r² s–41r² s
Answer:
78r²s
Step-by-step explanation:
well you add 49 and 42 and 28 and subtract 41 bc they have the same symbols afterwards, and you get that
–2z − 7 need this done now
Answer:
the value of the z is -3.5
Step-by-step explanation:
According to the question, the following information is given
-2z - 7
Based on the above information
We assume that we have to determine the z value
so
-2z - 7 = 0
-2z = 7
z = 7 ÷ -2
= -3.5
Hence, the value of the z is -3.5
The same is to be considered and relevant too
A number increased by five is negative fifteen. What is the number?
Answer:
The value of the number is: n = -20
Step-by-step explanation:
Given
A number increased by five is negative fifteen.
To determine
What is the number?
Let 'n' be the unknown number.
''A number increased by five'' means we have to add 5 to the number.
i.e.
n+5
Also, it is stated that a number increased by five is negative fifteen.
Thus,
[tex]n+5=-15[/tex]solving for n
[tex]n+5=-15[/tex]
Subtract 5 from both sides
[tex]n+5-5=-15-5[/tex]
Simplify
[tex]n=-20[/tex]
Therefore, the value of the number is: n = -20
Judy began her proof of the converse of the Pythagorean theorem by drawing triangle ABC with side lengths in inches of 5, 12, and 13. She then showed that 5^2 + 12^2=13^2 as follows.
5^2+12^2=13^2
25+144=169
169=169
Next, she drew triangle DEF, with two of the sides forming a 90° angle. If she has done her proof correctly so far, which of these is a length of one of the sides forming the 90° angle? Select two that apply.
A.3 in
B.4 in
C.5 in
D.12 in
E.13 in
Answer:
5 and 12
Step-by-step explanation:
If Judy has done her proof correctly, then the length of one of the sides forming the 90° angle is, 5. So Option C is one of the correct option.
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given that,
Judy began her proof of the converse of the Pythagorean theorem
The triangle ABC with side lengths in inches of 5, 12, and 13
She showed that 5² + 12² = 13²
Now, In triangle DEF
One of the side length = ?
Suppose, the unknown side length = x
Let, two sides which having length,
base = 3 in.
height = 4 in.
Now, by using Pythagoras theorem
It can be written as,
H² = A² + B²
x² = 3² + 4²
Hence, the third unknown side is of 5 in.
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Can someone help me with this please?
What is the solution to the system of equations? 2x + 3y = 26 3x + 5y = 40
Answer:
x = 10 , y = 2
Step-by-step explanation:
The solution of the system of equations will be x= 10 and y = 2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the system of equations is 2x + 3y = 26 and 3x + 5y = 40. the two equations by elimination method can be solved as;-
2x + 3y = 26
3x + 5y = 40
Cross-multiply with the variable of x,
6x + 9y = 78
-6x - 10y = -80
___________
-y = -2
y = 2
The value of x will be:-
2x + 3y = 26
2x + 3 ( 2 ) = 26
2x = 20
x = 10
Hence, the solution of the system of equations will be x= 10 and y = 2.
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!!!!!!!!!!!!!!!!!!!!!!!!Simplify, please. x^2+x−12/x−2/3x^2+11x−4/x^2−4
Answer:
x^2+3x+2/x^2-x-2
Step-by-step explanation:
That should simplify it
Answer:
(x² - x - 6) / (3x - 1)Step-by-step explanation:
See steps of simplification below:
(x² + x − 12) / (x − 2) ÷ (3x² + 11x − 4) / (x² − 4) =(x² + x − 12) / (x − 2) × (x² − 4) / (3x² + 11x − 4) =(x - 3)(x + 4) / (x - 2) × (x + 2)(x - 2) /(3x - 1)(x + 4) =(x - 3)(x + 2) / (3x - 1) =(x² - x - 6) / (3x - 1)PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sales dollars that she makes. What are Elena’s earnings for a month in which she has sales of $32,000?
Answer
4060 DollarsHere's why this is correct
and if Elena gets a base pay of $1,500 per month, then we add 8% of the total sales, ($32,000) and 8% of 32,000 is $2,560.
8% of 32,000 = 2,560
So we add $2,560 by $1,500 and we get 4060 Dollars.
Hope this helps! <3
Write an equation of the line passing through the point (1,5) that is parallel to the line y= -3x+5
Answer:
y=-3x+8
Step-by-step explanation:
y=mx+5, m=-3, x=1, y=5
5=(-3)(1)+b
5=-3+b
8=b
Which of the following represents a function? OA X -5-1 9 8 -1 y 1 7 23 17 1 B. y NS x -4 NO 4 C. {(0,1),(3,2), (-8,3), (-7,2), (3,4)} D. -4 5 9 3 13
Given:
The different relations in the options.
To find:
The relation which represents a function.
Solution:
A relation is called a function if there exist a unique output (y-value) for each input (x-value).
In option A, there exist two outputs y=7 and y=1 for a single input x=-1. So, this is not a function.
In option B, there exist two outputs y=-5 and y=2 for a single input x=-1. So, this is not a function.
In option C, there exist two outputs y=2 and y=4 for a single input x=3. So, this is not a function.
In option D, there exist only one value of y for each x. So, this is a function.
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
you probalby just want the answer
PLEASE PARAHPAHAE THIS FOR ME IM IN 4 grade ITS 50 PTS / POINTS PLEAPELSPLEPELPPLEASEPLEASEPLEASE HELP ASAP THANKS SM
The mosquitos have different traits because they have different proteins for body size feature in their cells. Differences in the structure of protein molecules affect how they interact with other protein molecules. A gene version provides instructions for making a specific protein, so mosquitos with different combinations of gene versions will have different proteins in their cells that result in small, medium, or large body sizes. Each parent randomly passes on one of its two copies of a gene for a feature, which is why each mosquito offspring can have a different combination of gene versions even though they have the same parents.
Answer:
The mosquitos have different traits because they have different proteins for body size feature in their cells. Differences in the structure of protein molecules affect how they interact with other protein molecules. Genes provide rules for making particular energy, so mosquitos with different mixtures of genes will have different proteins in their cells that end up in different body sizes. Each parent randomly gives on one out of two of a gene for a characteristic, which is why each mosquito babies can have different mixtures of genes, even though they have the same parents.
Step-by-step explanation:
Sandy baked 4 1/2 pounds of cookies. She divided the cookies equally among two friends and herself. How many cookies did each person get?
Answer:
Each person would get 1 1/2 pounds worth of cookies
Step-by-step explanation:
4 1/2 pounds of cookies divided equally among 3 people
4 1/2 pounds divided by 3 people = 1 1/2 pounds of cookies
Each person gets 1 1/2 pounds of cookies
find the value of each variable
Step-by-step explanation:
4/11 = 24/n
By Cross-multiplying, we have 4n = 11 * 24.
=< 4n = 264, n = 66.
Answer:
66Step-by-step explanation:
4/11 = 24/n4n = 264 ( cross multiplication ❌ )n = 264/4 = 66I HOPE THAT THIS ANSWER HELPS YOUhelp now plsssssssss!!!
Answer:
5
Step-by-step explanation:
Descefdsvxerdazdxsazd4r
Choose the one expression below that is true.
A. (5 + 4) + 10 = 5 + (4 + 10)
B. 12 - (17 + 1) = (12 - 17) + 1
C. (5 - 4) + ha = 5 - (4 + 10)
D. 17 - (9 + 10) = (17 - 9) + 10
Answer:
the one expression that is true is
A. (5 + 4) + 10 = 5 + (4 + 10)
Hope it will help :)❤
a fish is swimming at a contest rate toward the ocean floor. the equation y=-7x-3 can be used to represent to this situation where y is the depth of the fish in meters below se level. x is the number of seconds the fish has been swimming. which staTement best describes the depth of the fish given this equation.
Answer:
C
Step-by-step explanation:
y = -7x - 3 is a linear function that follow y = mx+b. M is the slope or rate. Here m = -7 so the fish descends 7 meters per second. B is the y-intercept or starting position. Here the starting position is -3 so the fish starts 3 feet below sea level.
PLEASE HELP I DONT WANT TO FAIL
Answer:
1
Step-by-step explanation:
12/8=1.5
15/10=1.5
1.5/1.5=1
ASAP SOLVE IT 30 POINTS
Answer:
ij3ij4
Step-by-step explanation:
lol
eieiedheddehuehdhdeiuqhedjof3r0g-n5rw
The variable s varies directly as the square of t. When s = 4, t = 12. Nick’s work finding the value of t when s = 48 is shown:
What is the first error, if any, in Nick’s work?
See in pic:
Answer:
C - He substituted incorrectly when calculating the constant of variation.
The first error, in Nick’s work is given inn option C, i.e. He substituted incorrectly when calculating the constant of variation.
What is constant of variation?Constant of variation is the ratio between two variables in a direct variation or the product of two variables in an inverse variation.
We have,
s = 4, and t = 12
Now according to the question,
The variable s varies directly as the square of t,
i.e.
s = kt²
So,
Substituting given values of s and t,
s = kt²
i.e.
4 = k × 12²
⇒
[tex]k = \frac{4}{144}=\frac{1}{36}[/tex],
Now,
for 48,
i.e.
s = kt²,
We get,
[tex]48 = \frac{1}{36} t^2[/tex],
i.e.
[tex]t^2=36 *48=1728[/tex]
[tex]t=\sqrt{1728} = \sqrt{3*576} =24\sqrt{3}[/tex]
So, this is the correct value for t.
Hence, we can say that the first error, in Nick’s work is given inn option C, i.e. He substituted incorrectly when calculating the constant of variation.
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out of 50 flags, 35 are triangular and of the remaining 15 some are rectangular and some are pentagonal. Satish chooses one flag randomly from all 50. Estimate the highest probability is that he picks which flag
Answer:
triangular
Step-by-step explanation:
triangular flags have a probability of 35/50, so it's the highest.
What is modeled by the graph segment between B and C?
A graph with time on the x-axis and height on the y-axis. The graph increases from point A to point B, is constant between points B and C, increases between points C and D, and then decreases from point D to point E.
The height is remaining constant over time.
The time is remaining constant while the height changes.
The height is increasing.
The height is decreasing.
Answer:
pretty sure its A)The height is remaining constant over time.
if its not then I'm sorry ＞﹏＜
also have a great day/night! ^u^
Step-by-step explanation:
From Edge
I need help asap!!!!
Answer:
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars
What is 7.44444444444 in fraction form
Answer:
186/25 i am pretty sure
Step-by-step explanation:
[Image 1 apple 3 oranges for each of 5 steps on the slider]
Apples are __% of the total number of fruits.
Answer:
Aplles are 25%.
Step-by-step explanation:
Solve 18 divided 5/6
a.21 3/5
b.18 1/2
c.13/24
d.23/6
person A buys 12 granola bars and 7 cups of yogurt for $15.50. person B buys six granola bars and 11 cups of yogurt for $11.50. find the cost of each
50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50.