Which function passes through the points (2, 15) and (3, 26)? A. y = 11x + 7 B. y = 11x − 7 C. y = 7x + 11 D. y = -11x − 7 E. y = 7x − 11
Answer:
B is the correct answer.
The function that passes through the points (2, 15) and (3, 26) is B) y = 11x - 7.
Explanation:To find the function that passes through the points (2, 15) and (3, 26), we can use the point-slope form of a linear equation, y - y1 = m(x - x1). Using the first point (2, 15), we can substitute the values into the equation and solve for the slope, m. Then, we can use the slope to find the y-intercept, b, by substituting the values of a point into the slope-intercept form of a linear equation, y = mx + b.The function that passes through the given points is B) y = 11x - 7.
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Mohammed, Isaac, Noah, and Felix solicited for boxes of donations for a community flea market. Mohammed collected 71?2 boxes, Isaac collected 81?3 boxes, Noah collected 43?4 boxes, and Felix collected 32?3 boxes. How many boxes did they collect in all? A. 251?3 B. 241?2 C. 241?4 D. 253?4
Answer:
Option C is the correct answer.
Explanation:
Boxes collected by Mohammed = [tex]7\frac{1}{2}[/tex]
Boxes collected by Isaac = [tex]8\frac{1}{3}[/tex]
Boxes collected by Noah = [tex]4\frac{3}{4}[/tex]
Boxes collected by Felix = [tex]3\frac{2}{3}[/tex]
Total boxes collected = [tex]7\frac{1}{2}+8\frac{1}{3}+4\frac{3}{4}+3\frac{2}{3}[/tex]
= [tex]\frac{15}{2}+\frac{25}{3}+\frac{19}{4}+\frac{11}{3}=\frac{36}{3} +\frac{49}{4} =\frac{97}{4}[/tex]
= [tex]24\frac{1}{4}[/tex]
Option C is the correct answer.
Steve had 4848 48 48 chocolates but decided to give 88 8 8 chocolates to each of his ff f f coworkers. How many chocolates does Steve have left?
Since the amount of coworkers would be the variable in this expression, the equation would be 48-8x
(X= number of coworkers)
What is four and one over five divided bye one and two overfive
Please help asap 28 pts
PLEASE HELP I NEED TO SEND THIS SOON
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If m ∡2 = 138°, find m ∡1, m ∡4, and m ∡3
I'd really appreciate if anyone helped! :)
Which set of ordered pairs represents a function?
A. (1, 2), (1, 3), (1, 4), (1, 5)
B. (4, 1), (3, 2), (3, 3), (1, 4)
C. (1, 6), (2, 2), (4, 7), (3, 2)
D. (1, 6), (3, 2), (4, 7), (3, 4)
In order for the data set to represent a function, there can be no duplicates of the first value.
A. 1 is used as the first value more than once it is NOT a function
B. 3 is used as the first value more than once it is NOT a function
C. no first number is used more than once it IS a function
D. 3 is used as the first value more than once it is NOT a function
Answer: C
What is the correct word name for the given decimal 5.89
Carlos graphed the system of equations that can be used to solve x^3 - 2x^2 + 5x - 6 = -4x^2 + 14x + 12
What are the roots of the polynomial equation?
–3, –2, 3
–3, 2
18, 32
18, 32, 66
Answer:
The roots are [tex]-3,-2,3[/tex]
Step-by-step explanation:
Let [tex]f(x)=x^3-2x^2+5x-6[/tex] and [tex]g(x)=-4x^2+14x+12[/tex].
The graph of the two functions are in the attachment.
The x-values of the points of intersection are the roots of the polynomial equation.
[tex]x^3-2x^2+5x-6=-4x^2+14x+12[/tex]
The roots are
[tex]-3,-2,3[/tex]
Answer:
-3,-2,3
Step-by-step explanation:
edge
The vertex of this parabola is at (3,-2). when the x-value is 4, the y-value is 3. whatis the coefficient of the squared expression in the parabolas equation
Answer:
The coefficient of the squared expression in the parabolas equation will be 5.
Step-by-step explanation:
The vertex form of parabola is: [tex]y=a(x-h)^2 +k[/tex] , where [tex](h,k)[/tex] is the vertex point and [tex]a[/tex] is the coefficient of [tex]x^2[/tex] term.
The vertex is given as [tex](3,-2)[/tex]. That means, [tex]h=3[/tex] and [tex]k=-2[/tex]
So, the vertex form will be: [tex]y=a(x-3)^2-2[/tex]
Given that, when the x-value is 4, the y-value is 3. So, plugging these values into the above equation, we will get.....
[tex]3=a(4-3)^2-2\\ \\ 3=a(1)^2-2\\ \\ a=3+2=5[/tex]
Thus, the coefficient of the squared expression in the parabolas equation will be 5.
There are 144 people in line. There are twice as many adults as children in line .How many children in line and how many adults are in line?
48 children and 96 adults
let x be the number of children then number of adults = 2x and
x + 2x = 144
3x = 144 ( divide both sides by 3 )
x = [tex]\frac{144}{3}[/tex] = 48
There are 48 children and ( 2 × 48 ) = 96 adults
There are 48 children and 96 adults in line.
Explanation:To find how many children and adults are in line, we can use algebraic equations and solve for each variable. Let's assume the number of children in line is x. Since there are twice as many adults as children, the number of adults in line would be 2x. According to the given information, the total number of people in line is 144. Therefore, we can set up the equation x + 2x = 144. Simplifying the equation, we get 3x = 144. Dividing both sides by 3, we find x = 48. So, there are 48 children and 2 * 48 = 96 adults in line.
Is y=3x+4; y2=6x+8 a one solution, infinitely many solution, or no solution problem
Answer:
Infinitely many.
Step-by-step explanation:
y = 3x + 4
2y = 6x + 8
Basically you would fill in the variable for y into the second equation.
2 (3x + 4) = 6x + 8
Multiply 2 by the part in the parenthesis.
2 * 3x = 6x
2 * 4 = 8
Set up the equation and solve
6x + 8 = 6x + 8
Because the sides are the same, they cancel each other out. When two sides equal the same variable they have infinitely many solutions.
Find the median of the data set 3 35 23 37 45 5 49 27 48
median = 35
the median is the middle entry of the data arranged in ascending order
rearranging the data in ascending order
3 5 23 27 35 37 45 48 49
the middle value = 35 ← median
Natasha owes her parents $12 on monday she gives them $7. On tuesday, she gives them 5. How much money does natasha now owe her parents?
What number multiplied by itself 2 times equals 1/100
The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in the air?
"how long..." is asking for time (t). "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground. Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... or by using the quadratic formula. With the equation you provided, it is not factorable, so you must use the quadratic formula.
h = -16t² + 60t + 3
a=-16 b=60 c=3
[tex]t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}[/tex]
[tex]t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}[/tex]
[tex]t = \frac{-60 +/- \sqrt{3792} }{-32}[/tex]
[tex]t = \frac{-60 +/- 61.6}{-32}[/tex]
[tex]t = \frac{-60 + 61.6}{-32}[/tex] or [tex]t = \frac{-60 - 61.6}{-32}[/tex]
[tex]t = \frac{1.6}{-32}[/tex] or [tex]t = \frac{-121.6}{-32}[/tex]
t = -0.05 or t = 3.8 disregard the negative
Answer: 3.8 seconds
I'd really appreciate it if anyone helped! :)
Which statement best explains why y=4−6x is a function?
It is a linear equation.
The solutions to the equation can be written as ordered pairs.
The slope is a factor of the y-intercept.
Each x value has one and only one y value.
D, Each x value has one and only one y value.; This is because if an x-value repeats itself then it is not a function. You can test this on a graph by drawing a vertical line on it. If the vertical line intercepts the line more than once anywhere on the graph, then it is not a function.
Answer:
Each x value has one and only one y value.
Step-by-step explanation:
y = f(x) can be called a function if, and only if
f(a) = f(b) means that a = b.
That is, each x value has one and only one y value.
y = 4 - 6x
f(a) = f(b)
4 - 6a = 4 - 6b
6b = 6a
b = a
So the correct answer is:
Each x value has one and only one y value.
What is the slope of the line shown below?
answer B or 1/6 should be right.
Answer: The correct option is
(B) [tex]\dfrac{1}{6}.[/tex]
Step-by-step explanation: We are given to find the slope of the straight line shown in the graph.
From the graph, we see that the line passes through the points (-6, 3) and (12, 6).
The SLOPE of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]
Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]
Option (B) is CORRECT.
Nine less than a number n n is written as
"Less than" means subtraction
The order they appear in tells me to subtract 9 from N.
n - 9
Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Select each correct answer.
(−3, 0)
(6, 1)
(1, −4)
(0, −3)
(2, −2)
To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, substitute the x and y values of each ordered pair into the inequality and check if it is satisfied.
Explanation:To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, we substitute the x and y values of each ordered pair into the inequality and check if the inequality is satisfied:
For the ordered pair (-3, 0): 2(0) - (-3) ≤ -6 → 0 + 3 ≤ -6 → 3 ≤ -6 (not satisfied)For the ordered pair (6, 1): 2(1) - 6 ≤ -6 → 2 - 6 ≤ -6 → -4 ≤ -6 (satisfied)For the ordered pair (1, -4): 2(-4) - 1 ≤ -6 → -8 - 1 ≤ -6 → -9 ≤ -6 (not satisfied)For the ordered pair (0, -3): 2(-3) - 0 ≤ -6 → -6 - 0 ≤ -6 → -6 ≤ -6 (satisfied)For the ordered pair (2, -2): 2(-2) - 2 ≤ -6 → -4 - 2 ≤ -6 → -6 ≤ -6 (satisfied)Therefore, the correct answers are (6, 1), (0, -3), and (2, -2).
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Writing a Polynomial Function Given a y-Intercept:
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5).
Describe the steps for writing the equation of this cubic polynomial function.
We are given
a cubic polynomial function has the same zeroes
Let's assume that zeros as 'a'
so, we can write it as
[tex]f(x)=(x-a)^3[/tex]
now, we are given y-intercept
(0,-5)
at x=0 , y=-5
we can use it and then find 'a'
[tex]-5=(0-a)^3[/tex]
[tex]a=\sqrt[3]{5}[/tex]
now, we can plug it
and we get
[tex]f(x)=(x-\sqrt[3]{5})^3[/tex]..................Answer
Answer:
Use the zeroes to determine the roots.
Write the polynomial as a product of the leading coefficient, a, and the factors, where each factor is x minus a root.
Use the y-intercept (0, –5) to solve for the leading coefficient.
Substitute the leading coefficient into the polynomial function for a and simplify.
Step-by-step explanation:
What operations are needed to solve this word problem? Joe has 8 Dalmatians. Sarah has 3 fewer Dalmatians than Joe. How many Dalmatians do they have together?
Final answer:
To solve the word problem, subtract 3 from 8 to find the number of Dalmatians Sarah has, then add that number to Joe's 8 Dalmatians to determine the total number of Dalmatians they have together, which is 13.
Explanation:
To solve the word problem presented, we need to perform two primary operations: subtraction and addition. Joe has 8 Dalmatians, and Sarah has 3 fewer Dalmatians than Joe.
First, we determine how many Dalmatians Sarah has by subtracting 3 from 8. Once we know how many Dalmatians Sarah has, we add that number to Joe's 8 Dalmatians to find out the total number they have together.
Step 1: Calculate the number of Dalmatians Sarah has.
Sarah's Dalmatians = Joe's Dalmatians - 3
Sarah's Dalmatians = 8 - 3
Sarah's Dalmatians = 5
Step 2: Calculate the total number of Dalmatians they have together.
Total Dalmatians = Joe's Dalmatians + Sarah's Dalmatians
Total Dalmatians = 8 + 5
Total Dalmatians = 13
Therefore, Joe and Sarah have a total of 13 Dalmatians together.
You have $1 bills and $5 bills in your wallet. There are 7 bills worth a total of $19
You have 3 $5s and 4 $1 bills. Hope this helps :)
You have 3 $5s and 4 $1 bills.
Hope this helps you, if it does, please mark brain! <3
-SHOBE-
5/100‚3/100‚75/100,5/100 listed from least to greatest
3/100, 5/100, 5/100 75/100
What is 3.106 x 10 in the 6th power written in standard form
Students were asked to rank their preferences for watching the following sports: baseball, football, soccer, volleyball, hockey, and softball. How many different rankings are possible?
A.
720
B.
36
C.
6
D.
46,656
Is ABC DEF? If so, identify the similarity postulate or theorem that applies.
We are given traingle ABC and Triangle DEF.
Angle <A is congruent to Angle <D
Angle <B is congruent to Angle <E
Angle <C is congruent to Angle <F.
If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.
By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.
Therefore, option C is correct option.
C. Similar - AA.Answer:
Similar AA
Step-by-step explanation:
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
The graph shows the solution to which system of equations?
A) y = x + 2 and y = -x - 4
B) y = 3x + 7 and y = x + 12
C) y = 2x - 3 and y = −2x + 1
D) y = -x + 4 and y = −2x + 5
John is 24 years old. Two years ago, he was twice Shane's age at that time. How old is Shane now?
Answer:
Present age of john= 24 years
Let Shane's age= x years
Two years ago
John's age = 24-2= 22 years
Shane's age = (x-2) years
Writing in terms of equation,to the above statements
⇒22= 2(x-2)
⇒22= 2 x- 4
⇒22+4 = 2 x
⇒ 2 x= 26
⇒ x= 26÷2
⇒ x =13
Present age of son = 13 years