Answer:
y=2x+5
Step-by-step explanation:
Let's solve for y.
−2x+y=5
Step 1: Add 2x to both sides.
−2x+y+2x=5+2x
y=2x+5
Answer:
y = 2x + 5
Step-by-step explanation:
-2x + y = 5 or y -2x = 5
We want what y equals so we need to isloate it. To do this, we need to add2x to both sides. This will cancel the 2x on the left side and now we have y alone. Remember, you have to do it to both sides. Therefore:
y = 2x + 5
Note: This equation is in slope-intercept form, y= mx + b
If this was the equation of a line:
m (slope) = 2
b (y-intercept) = 5
Hope this helps!
Input Output Which ordered pair needs to be removed in order for the mapping to represent a function? -3 4 O (-3, 4) O (-2, -1) O (1, -3) 0 2 -2 O (3,7) -3 →_1 3 7
Answer:
Acording to my brain the answer is (-2,-1) In other Words The correct answer is Option B
Step-by-step explanation:
God Bless :)
The ordered pair that needs to be removed in order for the mapping to represent a function is either: (-2, -1) or (2, -2).
What is a function?The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.
To represent a function, each input (x-value) must be associated with only one output (y-value). Therefore, in order for the mapping to represent a function, we need to remove any ordered pairs that violate this rule.
Looking at the options given, we can see that only one option has a repeated x-value:
O (-2, -1) and 0 (2, -2)
Both of these ordered pairs have the same x-value (either -2 or 2), but different y-values. This means that they violate the rule that each input must be associated with only one output.
Therefore, the ordered pair that needs to be removed in order for the mapping to represent a function is either:
O (-2, -1)
or
0 (2, -2)
We need to remove one of these ordered pairs to make the mapping a function.
To learn more about the function;
brainly.com/question/28303908
#SPJ7
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answer:
We have established the following sequence
6, 12, 18,...
The given is the Arithmetic sequence with the nth term
[tex]a_n=6n[/tex]
d = 6 is a common difference.
Step-by-step explanation:
Given the formula
Sₙ = 3n² + 3n
Put n = 1 to determine the sum of the first term
S₁ = 3(1)² + 3(1)
S₁ = 3 + 3
S₁ = 6
As the sum of the first term includes the only first term, so
a₁ = 6
Put n = 2 to determine the sum of the two terms
Sₙ = 3n² + 3n
S₂ = 3n² + 3n
S₂ = 3(2)² + 3(2)
S₂ = 12 + 6
S₂ = 18
as
S₂ = a₁ + a₂
substituting S₂ = 18, a₁ = 6
18 = 6 + a₂
12 = a₂
so
a₂ = 12
Put n = 3 to determine the sum of the two terms
Sₙ = 3n² + 3n
S₃ = 3(3)² + 3(3)
S₃ = 27 + 9
S₃ =36
as
S₃ = a₁ + a₂ + a₃
substitutingS₃ =36, a₁ = 6, a₂ = 12
36 = 6+12+a₃
a₃ = 36-6-12
a₃ = 18
Thus,
a₁ = 6
a₂ = 12
a₃ = 18
Therefore, the sequence becomes
a₁, a₂, a₃,...
6, 12, 18,...
Let us check the common difference 'd' between the adjacent terms
d = 12 - 6 = 6
d = 18 - 12 = 6
As the common difference 'd' between adjacent terms is the same, therefore the sequence is Arithmetic.
Thus,
d = 6Furthermore, the nth term of the Arithmetic sequence can be defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 6 and a₁ = 6
[tex]a_n=6\left(n-1\right)+6[/tex]
[tex]a_n=6n[/tex]
John is about to take a 75-item multiple-choice test. If he finishes an average
of 5 items every 3 minutes, how long will it take him to complete the test?
1. 15 minutes
2. 25 minutes
3. 45 minutes
4. 60 minutes
Answer:
It will take John 45 minutes (option 3 or C) to finish the test.
Step-by-step explanation:
We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.
75 ÷ 5 = 15
Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.
15 x 3 = 45 minutes
Therefore, it will take John C. 45 minutes to finish the test.
Which ordered pair is a solution of the inequality y < 3x + 1?
A. (−3, −2)
B. (3, 14)
C. (1, −3)
D. (1, 6)
Answer:
The answer is C. (1,-3)
Step-by-step explanation:
Find the length of side b
I need help plss
HALPPPPP PLZ THIS IS DUE IN 1:00AM and I will give brainliest
Answer:
1) They were multiplied by one power of ten because 2.5x 1^10 is 25, and so that it is easier to divide.
19.625/ 2.5 * 10/10 = 196.25/25
Hope this helps plz hit the crown ;D
find the midpoint, multiple choice question
Answer:
(-2,-1)
Step-by-step explanation:
Ive done a lot of these problems before, hope this helps
3 people are trading baseball cards Augustin has 1/4 as many cards as Mateo. Mateo has 1/2 as many cards as Amaro. Who has the most cards
Answer:
mateo has more cards
Step-by-step explanation:
1/2 is greater than 1/4 because 1/4 is 1/2 of a 1/2
Rachel split 3/4 pounds of candy among 8 people.
Answer:
i think 0.09375 or 9/375
Step-by-step explanation:
i divided
The dimensions for a rectangular prism are x + 5 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.
Answer:
Step-by-step explanation:
v
=
x
3
+
6
x
2
+
5
x
Explanation:
The formula for volume is:
v
=
l
⋅
w
⋅
h
where
v
is the volume,
l
is the length,
w
is the width and
h
is the height.
Substituting what we know into this formula gives:
v
=
(
x
+
5
)
(
x
+
1
)
x
v
=
(
x
+
5
)
(
x
2
+
x
)
v
=
x
3
+
x
2
+
5
x
2
+
5
x
v
=
x
3
+
(
1
+
5
)
x
2
+
5
x
v
=
x
3
+
6
x
2
+
5
x
Based on the scatter plot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80?
A. 42
B. 81
C. 158
D. 398
Help me quickly please!!!
Answer:
c hope this help
Step-by-step explanation:
Answer:
It’s A. 42
Step-by-step explanation:
Need help ASAP!!
Find the unknown side of the triangle below (round to the nearest tenth).
A.) 210.5 cm
B.) 5.4 cm
C.) 16 cm
D.) 20.5 cm
Answer:
the answer is D, 20.5cm
Step-by-step explanation:
x is hypotenuse
hypotenuse formula:
[tex]hypotenuse = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
let 15cm = a
let 14cm = b
[tex]x = \sqrt{15 {}^{2} + {14}^{2} } [/tex]
[tex]x = \sqrt{225 + 196} [/tex]
[tex]x = \sqrt{421} [/tex]
[tex]x = 20.5cm[/tex]
Which point below is a solution to the equation y = 2x + 3?
A (145, 291)
B (78, 163)
C (37, 77)
Answer:
C (37, 77)
Step-by-step explanation:
Option A:[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]
Option A is not a solution.
Option B:[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]
Option B is not a solution.
Option C:[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]
Option C is a solution.
Hope this helps.
Answer:
C
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution
A (145, 291 )
y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution
B (78, 163 )
y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution
C (37, 77 )
y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation
Kevin can do 20 sit-ups in 1 minute.
How many sit-ups can he do in 12 minutes?
Find 38% of 92. Round to the nearest whole number.
Answer:
38% of 92 rounded to the nearest whole number is 35.
Step-by-step explanation:
First we need to convert 38% into a decimal, 0.38.
Now we multiply 0.38 and 92.
So:
0.38 × 92 = 34.96
34.96 rounded to the nearest whole number is 35.
a linear function forms a line. true or false
I tought of a number double it then added 3. The result multiplied by 4 came to 52,what was the number I tought of?
Answer:
5
Step-by-step explanation:
double 5 is 10
10+3=13
13 multiplied by 4=52
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
x = 97
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing side length.
Step 2: Identify Variables
Leg a = 72
Leg b = 65
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: 72² + 65² = x²Exponents: 5184 + 4225 = x²Add: 9409 = x²Isolate x: 97 = xRewrite: x = 97A shoe box has a length five times the height and a width that is eight more than the height. Write an expression that represents the volume of the shoe box. (Hint: V=lxwxh)
Answer:
Step-by-step explanation:
Let the height = h
L = 5*h
w = h + 8
V = l*w*h
Volume = (h)*(5h)*(h +5)
Which statement is true for all functions f(x)?
Answer:D
Step-by-step explanation: The graph of -f(x) is the graph of f(x) reflected over the y-axis.
Which function has the same range f(x) =-5/7 (3/5)^x? Hurry !!!
answer is
B). g(x) = -5/7 (3/7)^-x
Answer: b
g(x) = -5/7 (3/7)^-x
Step-by-step explanation: have a great day :)
could somebody help
Answer:
112
Step-by-step explanation:
[tex]12 + (( {5}^{2} ) \times 4) \\ 12 + (25 \times 4) \\ 12 + 100 \\ = 112[/tex]
please mark as brainliest
Lilee has an ant farm. The population of ants triple every month. Lilee currently has 100 ants in her farm. Write an equation that models the number of ants that lilee has in her farm
Answer:
100 x 3
Step-by-step explanation:
Well, it's a pretty simple problem.
If she already has 100 ants and it triples every month then, we'd multiply.
Key words like triple, double, twice as much can signal that a problem requires multiplication.
In this case, we'd do 100 x 3
which means that after one month, she'd have 300 ants.
PLZ HELP, GIVING BRAINLIEST!!!!
Use the graph to state the number of turning points and the location of the local minimum and local maximum. (Check both pics for graph and answer choices)
Answer:
C
Step-by-step explanation:
There are three turning points.
The local minimums are (-1,-5) and (1, -5)
The local maximum is (0,-4)
The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.
Given : last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7
Colin plays cricket again on Sunday. He gets 29 runs.
To find : a) Work out Colin's mean score.
b) What is his new mean score
Solution:
last 10 run scores Colin got in cricket
1, 16, 5, 25, 26, 32, 5, 7, 1, 7
Total Score = 1 + 16 + 5 + 25 + 26 + 32 + 5 + 7 + 1 + 7 = 125
Total Innings = 10
Mean Score = 125/10 = 12.5
Colin plays cricket again on Sunday. He gets 29 runs.
=> New Total Score = 125 + 29 = 154
New Total Innings = 10 + 1 = 11
New Mean Score = 154/11 = 14
Mean Score = 12.5
New Mean Score = 14
Hope this helps! ;)
Answer:
The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.
Step-by-step explanation:
2a2 - ab - 3b2 + 9 when a = 3 and b = 2
2(3^2)−(3)(2)−3(2^2)+9
2(3^2)−(3)(2)−3(2^2)+9
= 9
14 ft
48 ft
What is the length of the hypotenuse?
Answer:
50ft
Step-by-step explanation:
use the Pythagorean theorem 14 squared + 48 squared equals 2500 square root of 2500 equals c squared the square root of 2500 is 50
Answer:
50
the Pythagorean theorem states that the hypotenuse of a triangle squared is equal to the sums of the other 2 sides squared.
it can be expressed as so:
c^2=a^2+b^2
therefore
c^2=14^2+48^2
C^2= 196+2304
c^2=2500
square root of 2500 is 50
50=the hypotenuse.
Step-by-step explanation:
Plz help. Will give brainliest to best answer
Answer:
9
Step-by-step explanation:
11cos35
Answer:
x = 9.0
Step-by-step explanation:
cos(35) = [tex]\frac{x}{11}[/tex]
11cos(35) = x
x = 9.0
Answer choices are
y-x=-4
y-x=-2
y-4=x
y+4x=1
Answer:
Y+4x=1
Step-by-step explanation:
Find the slope of the lines that go through the following points.
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1