Answer:
y = 4/3x - 3
Step-by-step explanation:
1. Find two pints on the line: ((3,1) and (6, 5).
2. Find the slope: Slope = (change in y-values)/(change in the x-values).
Slope = (5 - 1)/(6 - 3) = 4/3
3. Use the slope and one point and substitute into y = mx + b to solve for "b"
y = mx + b slope = 4/3 and point (3, 1)
1 = 4/3(3) + b 4/3 · 3/1 = 12/3 = 4
1 = 4 + b
1 - 4 = b
-3 = b
4. Write the equation of the line: m = 4/3 and b = -3 Substitute into y = mx + b
y = 4/3x - 3
the value of √-3+√3+8√7+4√3
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
How many classes would Gina need to take for the total cost to be the same at both dance studios?
10
15
100
150
Answer:
The correct answer is A: 10
Step-by-step explanation:
Same Question : https://brainly.com/question/17110602
In a recent year, 39% of all college students were enrolled part-time. If 5.8 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
Answer:
15 million
Step-by-step explanation:
39% of all college students enrolled part-time.
5.8 million college students enrolled part-time.
Let x = the total number of college students.
39/100 • x = 5.8
x = 5.8 • 100/39
x = 14.87
=15 million
Hope this helps :)
what is the greatest number of relative maximum that a polynomial of degree 15 can have? Select the right answer among them 1. 14 2. 6 3. 9 4. 7 5. 4
Answer:
7
Step-by-step explanation:
The greatest number of relative maxima it can have is 14.
So, the correct answer would be option (1) 14.
Use the concept of a polynomial defined as:
An expression that consists of exponents, variables, and constants and that is combining many different mathematical procedures:
Addition, subtraction, and multiplication is referred to as polynomial.
Given that,
The degree of polynomial = 15
The objective of this question determine the number of relative maxima it can have.
The number of relative maxima that a polynomial can have is equal to its degree minus 1.
In this case:
The polynomial is of degree = 15,
Hence,
The greatest number of relative maxima it can have is 15 - 1 = 14.
So, the correct answer would be option (1) 14.
To learn more about polynomials visit:
https://brainly.com/question/11536910
#SPJ3
1. f(x) = x2
• vertex :
• opening of the graph :
• vertex is a ______ point
• equation of axis of symmetry (x=h) :
• range (y≥k) :
Answer:
Step-by-step explanation:
f(x) = x²
1. Vertex ( 0 ,0)
2) a > 0 , opening upward
3) minimum
4) Axis of symmetry : x = 0
5) Range: y ≥ 0
Which of the following functions has a factor of x + 1?
f(x) = x^3 – 12x^2 + 27x + 40
f(x) = x^3 - 14x^2 + 53x – 41
f(x) = x^3 – 14x^2 + 53x + – 40
f(x) = x^3 - 12x² + 27x + 39
Answer:
x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)
Find the quarter point of y=1/2sin(2x+π)
Answer:
32
Step-by-step explanation:
y = 1/2sin[2(x + π/2)]. Now you can read that the graph is shifted from its standard starting position at (0, 0) left by π/2 and the period ...
Graph the system of linear equations.
-1/2y = 4x + 5 and y = 2x +2.
Answer:
The graph is shown below.
Step-by-step explanation:
-1/2y = 4x + 5
This is the same as y = -2x - 2.5
The graph is shown below
Help asap please I need help
Answer:
the equations is y=x+3-1
Step-by-step explanation:
Parallel Lines
Transform a Trapezoid
Two lines or line segments that are parallel in the preimage will be parallel in the image in a rigid
transformation. Critique the validity of the statement.
Provide evidence that supports this statement or that contradicts it from your investigations using the
Dynamic Geometry Tool.
Answer:
Writing formal proofs to prove conjectures about lines, angles and triangles ... parallel to each other or on the same line—and since the altitudes of both ...
By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.Step-by-step explanation:
Hope this helps
Divide 31.50 / 2.50 step by step. Write is out on paper if you can. :D
Answer:
12.6 you divide 31.50 by 2.50 pretend the decimal signs aren't there.
I need help I’m really bad at math but the photo thing is not working
Nothing, never wanted to post a question on here
At the local deli, David bought two ginger ales and two bagels for $6.60. Sumaiya bought four ginger ales and three bagels for $11.70.
Find the exact cost of one bagel and one ginger ale.
PLS HELP
Step-by-step explanation:
let the ginger ales be $x and the bagels $y.
Case 1, 2x+2y=6.60 x+y=3.30 ......1
Case 2, 4x+3y=11.70. .....2
1, x+y=3.30...×4
2, 4x+3y=11.70...×1
1, 4x+4y=13.20
2, 4x+3y=11.70
(-) (-) (-)
____________
y=1.50
____________
now, placing the value of y in equation 1,
x+y=3.30
x+1.50=3.30
x=1.80
therefore, the exact cost of one bagel and one ginger ale is $1.50 and $1.80 respectively.
hope this helps you.
How do I solve this question? The wording is confusing to me
Step-by-step explanation:
Use Pythagarus theorem
17^2=15^2 +x^2
289= 225 + x^2
64=x^2
x = 8 m
Fill in the blanks with one of the following symbols ∈, ∉, ⊆,
⊆, ⊂, or ⊄ to make each statement true.
6 ______{f, g. h, i,j, k, l}
what is energy!
____________
Answer:
the strength and vitality required for sustained physical or mental activity is called energy..Identify the sampling method used:
A random sample of 10 people from each of three different age categories were selected and asked how they would rate a new television show.
Using sampling concepts, it is found that a Stratified sample was used.
Samples are classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.
A similar problem is given at https://brainly.com/question/23106151
Which point is in the graphed solution set of this system of inequalities?
4x-3y<12
6x+3y>5
A. (2,2) B. (0,-6) C. (2,-1) D. (-2,0)
Answer:
01110100 01101000 01100101 00100000 01101101 01100001 01110100 01110010 01101001 01111000
Step-by-step explanation:
Consider a graph of the equation y = −3x + 4. What is the y-intercept? 4 −4 3 −3
Answer:
The y-intercept is 4
Step-by-step explanation:
in y=mx+b, the b will always be your y-intercept
Help please I really don’t understand SOS Due today
Answer:
Step-by-step explanation:
28 > 6x - 2
28 + 2 > 6x - 2 + 2
30 > 6x
5 > x or x < 5
Select the number line model that matches the expression | -6 - (-3)∣
two and twenty-seven hundredths
Actual number
[tex]\\ \sf\longmapsto 202700[/tex]
Number in words=two hundred and two thousands and seven hundreds
Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for the license plates, and $40 for a state safety and emissions inspection. How does she need to play for these extra charges, not including the price of the car?
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
Line m passes through points (10, 7) and (3, 4). Line n is parallel to line m . What is the slope of line ?
Answer:
The slope is 3/7 or ~0.43
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1
7-4=3
10-3=7
3/7=0.428
If 2x-3y=3 find 16^x/64^y
a. 4
b. 8
c. 16
d. 64
Answer:
D. 64
Step-by-step explanation:
Did you mean: if 2x−3y=3 what is 16x64y? That fraction equals 42x−3y, so the answer would be 43, which is 64.
x m 1,5 m and 1,5 m
x² = (1,5)² + (1,5)²
x² = 2,25 + 2,25
x² = 4,5
x = 2,1m
[tex]\bold{\underline{Solution : -}}[/tex]
[tex]\sf a^2 + b^2 = c^2[/tex][tex]\sf x^2 = (1.5)^2 + (1.5)^2 [/tex]
[tex]\sf x^2 = 2.25 + 2.25 [/tex]
[tex]\sf x^2 = 4.5 [/tex]
[tex]\sf x = \sqrt{4.5} \approx 2.1[/tex]
[tex]\{ x - ( \frac { x } { 5 } + 60 ) \} = \{ ( \frac { 4 } { 5 } ) x - 60 \}[/tex]
help plssssssss
If you are asking for the value of x, then x = not defined because dividing a value by 0 will always give you a non-defined answer. So, x can be equal to any number (there can be infinite values).
Next, if you want to prove that both the statements are true, then yes it's true because RHS = LHS = 0.
Check the 2 attachments for the steps.
______
RainbowSalt2222 ☔
Answer:
infinite number of solutions
Step-by-step explanation:
x - ([tex]\frac{x}{5}[/tex] + 60) = [tex]\frac{4}{5}[/tex] x - 60 ← distribute parenthesis on left by - 1
x - [tex]\frac{x}{5}[/tex] - 60 = [tex]\frac{4}{5}[/tex] x - 60 , collect like terms on left side
[tex]\frac{4}{5}[/tex] x - 60 = [tex]\frac{4}{5}[/tex] x - 60
Since expressions on both sides are equal then any value of x is a solution.
That is there is an infinite number of solutions
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function f(x)=(4x3−13x+11)3?
Answer:
9.
Step-by-step explanation:
The highest power is 3*3 = 9, so it's 9.
Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and x packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy?
Answer:
The answer is 1 pack of mushroom
Step-by-step explanation: