which of the following is the equation of a line given the following
slope:5 and y-intercept: -3
a. y = -3x - 5
b. y = 5 + 3x
c. y = 5x - 3
d. y = -3x + 5
Answer:
C.
Step-by-step explanation:
Slope-intercept form is described as y=mx+b, where m = the slope, and b = the y-intercept. Since you are given these two numbers, just plug them into the slope-intercept form. This gives you y=5x-3.
A number t times 6.
Answer:
6t
Step-by-step explanation:
t times 6 = t*6, which can be written as 6t (usually numbers go before the variables)
In an arithmetic sequence, the sum of the 3rd and 8th term is 1. Given that the sum of the first seven terms is 35, determine the first term and the common difference.
Answer:
first term: a₁ = 14 the common difference: d = -3Step-by-step explanation:
The sum of the 3rd and 8th term is:
[tex]a_3+a_8=1\\\\a_1+2d+a_1+7d=1\\\\\underline{2a_1+9d=1}[/tex]
The sum of the first seven terms is 35:
[tex]S_7=35\\\\\dfrac{a_1+a_7}2\cdot7=35\\{}\qquad\quad^{\div7\qquad\div7}\\ \dfrac{a_1+a_1+d}2=5\\{}\qquad\qquad^{\cdot2\qquad\cdot2}\\2a_1+6d=10\\{}\qquad\ ^{\div2\qquad\div2}\\a_1+3d=5\\{}\quad\ ^{-3d\quad\ -3d}\\a_1=5-3d[/tex]
[tex]2a_1+9d=1\\\\2(5-3d)+9d=1\\\\10-6d+9d=1\\{}\qquad\qquad^{-10\quad-10}\\{}\qquad3d=-9\\{}\qquad^{\div3\qquad\div3}\\{}\qquad d=-3\\\\\\a_1=5-3(-3)=5+9=14[/tex]
The cost of a flight on jetBlue is $1,000. The prices are predicted to be marked up to $1,350tomorrow. Whatpercent is the price of the ticket expected to increase?
Answer:
35%
Step-by-step explanation:
1,000 + 35% = 1,350
If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes if the standard deviation is 5 minutes? (Make sure to use a percentage!)
Answer:
0.82%
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (72 − 60) / 5
z = 2.4
Use a chart or calculator to find the probability.
P(Z > 2.4) = 1 − P(Z < 2.4)
P(Z > 2.4) = 1 − 0.9918
P(Z > 2.4) = 0.0082
Hence, the probability of time does it take longer than [tex]72[/tex] minutes if the standard deviation is [tex]5[/tex] minutes is [tex]0.82[/tex]%.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here given that,
If an hourglass takes an average of one hour to empty a full cycle.
Now, First find the z-score.
[tex]z = (x-[/tex] μ[tex])[/tex]/σ
[tex]z = \frac{72 - 60}{5}\\z = 2.4[/tex]
Now, using the calculator to find out the probability.
[tex]P(Z > 2.4) = 1 - P(Z < 2.4)\\\\P(Z > 2.4) = 1 - 0.9918\\\\P(Z > 2.4) = 0.0082[/tex]
Thus,
[tex]0.0082(100)=0.82[/tex]%
Hence, the probability of time does it take longer than [tex]72[/tex] minutes if the standard deviation is [tex]5[/tex] minutes is [tex]0.82[/tex]%.
To know more about the probability
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5x-3=x-12 solve for x
Answer:
x=3
Step-by-step explanation:
The price of gas rose from $2.40 per gallon in january to $3.00 per gallon in April. What was the percent increase based on the original price?
A: 20%
B: 25%
C: 60%
D: 80%
Answer:
60%
Step-by-step explanation:
Answer:
C. 60%
Step-by-step explanation:
3x +y = 9.x, solve for x
Answer:
3-y=x
Step-by-step explanation:
Which staternent is about the polynomial 3x ^ 2 * y ^ 2 - 5x * y ^ 2 - 3x ^ 2 * y ^ 2 + 2x ^ 2 after it has been fully simplified has 2 terms and a degree of 2 It has 2 terms and a degree of 3 . }has 4 terms and a degree of 2 . It has 4 terms and a degree of 4.
Answer:
The polynomial has 2 terms and a degree of 3.
Step-by-step explanation:
The given polynomial is [tex]3x^2y^2-5xy^2-3x^2y^2+2x^2[/tex].
On simplification, the polynomial becomes:
[tex]-5xy^2+2x^2[/tex]
Numbers of term=2
Degree=1+2=3
Hence, the polynomial has 2 terms and a degree of 3.
Use the function f(x) = 4x – 3 to determine g(x) if
g(x) = f(x) + 5
Answer:
g(x) = 4x + 2
Step-by-step explanation:
g(x) = f(x) + 5 = 4x - 3 + 5 = 4x + 2
7 + 9 – (–3) – 1 + 2
Answer: 20
Step-by-step explanation:
Hope helps
Answer:
7 + 9 - (-3) - 1 + 2
16 - (-3) - 3
19 - 3
16
For the function, f(x) = −x2, find f(-3)
Los puntos A (5, 3) y B (-3, -3) representan los extremos de un trozo de madera que será usado por un carpintero para elaborar un mueble, al cual se le agregará una muesca en la tercera parte de su longitud (r = 1/3), tomando como referencia el punto A calcula la coordenada exacta donde ubicará esa muesca, mostrando tus operaciones y selecciona la opción correcta. A) (1.5,3) b) (0.75,3) c) (3,0.75) d) (3,1.5)
Answer:
Las coordenadas del punto son P([tex]2.\overline 3[/tex], 1)
Step-by-step explanation:
Las coordenadas de los extremos de la pieza de madera son A (5, 3) y B (-3, -3)
El punto, P, en el que se agregará la muesca = 1/3 de la longitud de AB
Por tanto, las coordenadas del punto, tomando A como punto de referencia, se dan como sigue;
P (5 + (-3 - 5) × 1/3, 3 + (-3 - 3) × 1/3) = P([tex]2.\overline 3[/tex], 1)
Las coordenadas del punto son P([tex]2.\overline 3[/tex], 1).
Find the value of [tex]\sqrt[4](16)^{-2}[/tex]
Will mark as brainliest to the best answer!!!
Given parameters:
Evaluate;
[tex]\sqrt[4]{(16)^{-2} }[/tex]
Now let us solve this;
[tex]\sqrt[4]{(16)^{-2} }[/tex];
the fourth root can be expressed as the power of [tex]\frac{1}{4}[/tex] ;
[tex]\sqrt[4]{(16)^{-2} }[/tex] = [(16)⁻²][tex]^{\frac{1}{4} }[/tex]
= (16)[tex]^{-2 x \frac{1}{4} }[/tex]
= (16)[tex]^{\frac{-1}{2} }[/tex]
= [tex]\frac{1}{16^{\frac{1}{2} } }[/tex]
= [tex]\frac{1}{\sqrt{16} }[/tex]
= [tex]\frac{1}{4}[/tex]
The solution is [tex]\frac{1}{4}[/tex]
solve this equation step by step x+3*2=12-2*2
Answer:
Step-by-step explanation:
x+3*2=12-2*2
x+6=12-4
x+6=8
-6 -6
x=2
SHOW ALL WORK!!!
1.
Find the distance between (-4,-2) & (4,4)
Answer:
Step-by-step explanation:
Use the diagram of the pyramid to answer the question. Which is the surface area of the pyramid?
A group of 5 people planned to spend $12 each to rent power tools to build playground equipment for a day camp. At the last minute, 1 person
could not participate. If the others then paid equally for the tools, how much did each pay?
Answer:
The answer would be 48 since it would be 4 x 12
Answer:
$15
Step-by-step explanation:
If the 5 people where each paying $12 to rent the equipment, that means the cost of the equipment can be found multiplying 5 and 12 to get 60. Now that we know that the cost of the equipment is $60, if one person bailed out, there are now 4 people to rent it. You can find how much each person pays if they each pay the same amount by dividing 60 by 4. Once you do $60 ÷ 4 people = 15. So each person pays $15.
I hope this helps :)
Can someone answer this question and make sure they show working out. Will reward brainliest to the best answer.
Answer:
8a²+8a+12b = 8a²+8a+12b
Step-by-step explanation:
first, expand the brackets
4a + 4a + 12a² + 8b + 4b - 4a²
then, collect like terms
8a + 8a² + 12b
then, rearrange
8a² + 8a + 12b
PLZ HELP ME I WILL CALL YOU BRILLIANT Austin is comparing the prices of two car rental companies. Company A charges $24 per day and an additional $25 as service charges. Company B charges $22 per day and an additional $40 as service charges.
Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used.
Part B: Which company would charge less for renting a car for 4 days? Justify your answer.
Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 6 days?
Answer
Step-by-step explanation:
Its A
HI um yeaaaa so do u still need help and um this is taylor megan is at school and aaahhhhh umm yea so................... bye bye
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Nakisa spent 328 on a total of CDs and DvDs. If Cds coat 12.00 and DVDs coat 16.00 each, how many CDs did Nakisa buy?
Answer:
[tex]c=\frac{82}{3}-\frac{4}{3}d[/tex]
Step-by-step explanation:
1) Set up an equation
Let c be the number of CDs Nakisa bought.
Let d be the number of DVDs Nakisa bought.
[tex]328=12c+16d[/tex]
Explanation: Each CD costs $12 and each DVD costs $16. Nakisa spent $328 altogether, which means $12c+$16d is equal to $328.
The question is asking for the number of CDs that Nakisa bought, so our goal is to isolate c in the equation above.
2) Isolate c
[tex]328=12c+16d[/tex]
Subtract both sides by 16d
[tex]328-16d=12c+16d-16d\\328-16d=12c[/tex]
Divide both sides by 12
[tex]\frac{328-16d}{12}=\frac{12c}{12} \\\frac{82}{3}-\frac{4}{3}d=c[/tex]
[tex]c=\frac{82}{3}-\frac{4}{3}d[/tex]
I hope this helps!
Select the property that allows the statement 10 = y to be written y = 10.
Answer:
The commutative property :))
I NEED HELP!!!!!!!!!!!!!!!!!!!4/7X+ 5/14X= 39
The solution is _____
Answer:
x=42
Your welcome!
Answer:
x=42
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/7*x+5/14*x-(39)=0
Simplify 5/14
((4/7• x) + (5/14 • x)) - 39 = 0
Simplify 4/7
4 5x
((— • x) + ——) - 39 = 0
7 14
Find the Least Common Multiple
The left denominator is : 7
The right denominator is : 14
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 1 1 1
2 0 1 1
Product of all
Prime Factors 7 14 14
Least Common Multiple:
14
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 2
Right_M = L.C.M / R_Deno = 1
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 4x • 2
—————————————————— = ——————
L.C.M 14
R. Mult. • R. Num. 5x
—————————————————— = ——
L.C.M 14
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x • 2 + 5x 13x
——————————— = ———
14 14
13x
——— - 39 = 0
14
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 14 as the denominator :
39 39 • 14
39 = —— = ———————
1 14
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
13x - (39 • 14) 13x - 546
——————————————— = —————————
14 14
Pull out like factors :
13x - 546 = 13 • (x - 42)
13 • (x - 42)
————————————— = 0
14
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
13•(x-42)
————————— • 14 = 0 • 14
14
Now, on the left hand side, the 14 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
13 • (x-42) = 0
Solve : 13 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-42 = 0
Add 42 to both sides of the equation :
x = 42
Please Give me Brainliest
GIVING BRAINLIEST ASAP - explain why 1 plus 1 equals 2
Put a finger up. You have 1. Add 1 another finger by putting another finger up. If you count how many there are you get 2.
So 1+1 = 2.
Seriously though... why ask this.
5 student in class want to have extra homework. If 20% of the student want extra
homework, how many total students are in the class?
PLS HELP IMMEDIATELY I WILL GIVE BRAINLY
Simplify the expression (7a5b6)4 .
Answer:
28a20b24
Step-by-step explanation:
(7a5b6)4
= (7a*4)(5b*4)(6*4)
= 28a20b24
If a + b ≤ 8 and a = 2, then b ≤ 5.Which of the following would be a counterexample?
Answer:
The correct counterexample is [tex]b \leq 6[/tex].
Step-by-step explanation:
We proceed to demonstrate the validity of given implication by direct demonstration and use of our knowledge in algebra:
1) [tex]a + b \leq 8[/tex] Given.
2) [tex]a = 2[/tex] Given.
3) [tex]2+b \leq 8[/tex] 2) in 1)
4) [tex]2 + b +(-2) \leq 8 +(-2)[/tex] Compatibility with addition.
5) [tex]b+[2+(-2)]\leq 6[/tex] Commutative and associative properties/Definition of subtraction
6) [tex]b \leq 6[/tex] Existence of additive inverse/Modulative property/Result.
This contradicts what implies the given proposition. The correct counterexample is [tex]b \leq 6[/tex].
A certain standardized test measures students’ knowledge in math and English. The scatterplot displays the scores for 10 randomly selected students.
The equation y = 54.16 + 0.87x is called the least-squares regression line because it:
is least able to make accurate predictions for the data.
makes the sum of the squared residuals as large as possible.
makes the sum of the squared residuals as small as possible.
causes the relationship between English scores and math scores to be strongest.
Answer:
it's C
Step-by-step explanation:
The correct answer is: The equation y = 54.16 + 0.87x is called the least-squares regression line because it makes the sum of the squared residuals as small as possible.
The least-squares regression line is a line that best fits the given data points by minimizing the sum of the squared residuals. Residuals are the vertical distances between the actual data points and the predicted values on the regression line. By minimizing the sum of the squared residuals, the line is able to provide the best overall fit to the data.
Therefore, the least-squares regression line aims to minimize the differences between the predicted values and the actual data points, making the sum of the squared residuals as small as possible.
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Let’s see how good are you with numbers what’s the answer to both of these?
Answer:
A. 22,075.06
B. 17,422.44
Answer:
A. $22,074.94
B. $12,422.44
Step-by-step explanation:
28,485.34 25,405.56
- 6,410.28 - 7, 983.12
= 22,074.94 = 12,422.44
An elk tree is 3 1/2 times as talk as an apple tree. The apple tree is 10 2/3 feet tall. How tall is the elm tree?
Answer:
37 1/3
Step-by-step explanation:
10 2/3 * 3.5=37 1/3
Answer:
the answer is 16/7/76
Step-by-step explanation:
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