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The graph of the equation y = 1 x + 2 is displayed.
Which equations would intersect the orange line at the
y-intercept? Check all that apply.
Answer:
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
Step-by-step explanation:
The equation of any line that would intersect the orange line at the y-intercept, 2, would have the same y-intercept value of 2.
Thus, from the options given, the following equations has y-intercept (b) of 2.
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
All three equations have a y-intercept value, b, of 2.
Note: option D, y - 2 = 4x, can be rewritten as y = 4x + 2.
Answer: A/C/D
Step-by-step explanation: A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
The table below shows the number of pencils and pens three friends have in their backpacks.
Who has a greater ratio of pencils to pens?
A. Lydia
B . Angel
C . Elizabeth
Answer:
Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Step-by-step explanation:
Considering the table
Lydia's Number of Pencils = 10
Lydia's Number of Pens = 7
Lydia's Pencils to Pens ratio = 10/7
Angel's Number of Pencils = 9
Angel's Number of Pens = 6
Angels's Pencils to Pens ratio = 9/6 = 3 / 2
Elizabeth's Number of Pencils = 12
Elizabeth's Number of Pens = 9
Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3
So, We get the inputs ratios such as:
Lydia's ratio: Angels's ratio: Elizabeth's ratio
10/7 : 3 / 2 : 4 / 3
As the least common denominator (LCD) is: 42
Rewriting as equivalent fractions with the LCD:
10/7 : 3 / 2 : 4 / 3
60 / 42 : 63/42 : 56/42
Sorting from least to greatest:
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
Elizabeth's ratio : Lydia's ratio : Angels's ratio:
4/3 : 10 /7 : 3 / 2
56/42 : 60 / 42 : 63/42
Therefore, Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
a new pair of shoes for 60% off. what expression represents the total cost
Answer:
What was the origainal price?
Step-by-step explanation:
Two siblings set up a lemonade stand. Each half hour, the siblings record the number of cars, X, that pass by and the total amount of lemonade sales, in
dollars, y. The scatter plot shows the results,
Which graph shows a proportional relationship that passes through the point (2, 1)?
A.
B.
C.
D.
The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.
Equation of a lineA line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.
Using a factor of 2;
New coordinate = 2(2, 1)
New coordinate = (4, 2)
From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.
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PLEASE HELP ME ASAP IMDOING FINALS
Write y= -1(x-4.5)^2 + 15.25 in standered form
Given:
The equation is
[tex]y=-1(x-4.5)^2+15.25[/tex]
To find:
The standard form of the given equation.
Solution:
We have,
[tex]y=-1(x-4.5)^2+15.25[/tex]
It is a quadratic equation.
The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.
[tex]y=-(x-4.5)^2+15.25[/tex]
[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=-[x^2-9x+20.25]+15.25[/tex]
[tex]y=-x^2+9x-20.25+15.25[/tex]
[tex]y=-x^2+9x-5[/tex]
Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].
Hannah wants to save 1/3 of her allowance each week to buy a new dress that costs $45.00. if her allowance is $6.00 each week, how many weeks will she have to save to buy the dress?? PLEASE HELP PLEASE ASAP!! WILL MARK BRAINLIEST!!!
Answer:
It will take 22.5 weeks for her to save up to buy the dress.
Step-by-step explanation:
1/3 of $6.00 is 2.
(6 ÷ 3 = 2)
So she's saving $2 each week.
Now we need to divide $45 by $2 to get the number of weeks.
45 ÷ 2 = 22.5
A set of 6 water bottles are sold for 12. What is the unit cost per water bottle?
$2.00 US Dollars is the answer
Which unit rate is the lowest price per ounce?
Choice A: 5 ounces of raisins for $1.49
Choice B: 12 ounces of raisins for $3.69
Answer:
B
Step-by-step explanation:
Answer:
A. 5 oz. is the lowest rate
Are the following lines parallel, perpendicular or neither?*
7x -8y = 64 and y = - 4x + 15
parallel
perpendicular
O neither
O both parallel and perpendicular
Answer:pAraell
Step-by-step explanation:
Currently James has $600 in his bank account, while Lisa has $500 in hers.
Every Friday afternoon James withdraws $15. At the same time Lisa withdraws $12 knowing that she can't spend as much as James.
Will their account balances ever be equal? If they are ever equal, how many weeks will it take?
Answer:
Their account balances will never be equal.
Step-by-step explanation:
I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.
been stuck on this for a bit
The function f(x) is defined below. What is the end behavior of f(x)?
f(x)=123x^3+9x^4-768x-3x^5-189x^2+1260
Answer:
Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
The function f(x) is defined as;
f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260
WE need the degree and the leading coefficient to determine the behavior.
Since our leading coeffeicent has a leading even degree of 5, and a positive number,
The function will Rises to the left and falls to the right.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
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10 + 4a = a -23 i need to solve for a please help
Answer:
a = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
10 + 4a = a - 23
Step 2: Solve for a
Subtract a on both sides: 10 + 3a = -23Isolate a term: 3a = -33Isolate a: a = -11Step 3: Check
Plug in a into the original equation to verify it's a solution.
Substitute in a: 10 + 4(-11) = -11 - 23Multiply: 10 - 44 = -11 - 23Subtract: -34 = -34Here we see that -34 does indeed equal -34.
∴ a = -11 is the solution to the equation.
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
⠀⠀⠀
10 + 4a = a - 23 ______________________[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
⠀⠀
Value of a = ?? ______________________[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
⠀⠀⠀⠀
For solving such problems we must have a glance at BODMAS rule .
⠀⠀⠀⠀
Firstly , putting all the variables at left and putting all the constants at right
⠀⠀⠀⠀
4a - a = - 23 - 10
⠀⠀⠀⠀
Secondly , solving the variable side
⠀⠀⠀⠀
3a = -23 - 10
⠀⠀⠀⠀
Now , solving the constant side
⠀⠀⠀⠀
3a = - 33
⠀⠀⠀⠀
Thirdly isolating the variable
⠀⠀⠀⠀
a = -33 / 3
⠀⠀⠀⠀
a = - 11
______________________[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
⠀⠀⠀⠀
Value of a is -11Three of seven students ate apples for lunch. What is the
ratio of students who ate apples for lunch to students who
did not eat apples for lunch?
Answer:
3:4 would be the answer
Step-by-step explanation:
you're welcome
In the figure below, ray MP and ray MQ both intersect line LN.
Answer:
x = 20°
Step-by-step explanation:
Lines and Angles
Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.
Thus, we have:
45 + 6x - 5 + x = 180
Simplifying:
40 + 7x = 180
Subtracting 40:
7x = 180 - 40
7x = 140
Dividing by 7:
x = 140/7 = 20
x = 20°
help please , I’ll give brainliest.
Answer:5 N to the left
Step-by-step explanation:
Answer:
The Net Force is the difference of force. In this case
10N to the left - 5 N to the right = 5N to the left
hello ppl from my school who also dont know this
Answer:
They both intersect at C. (-4,-2)
Step-by-step explanation:
The solutions are base on where they cross or intersect
I am kind of confused.
Nevaeh's car used 11 gallons to travel 352 miles. At what rate does the car use gas, in
miles per gallon?
Answer:
32
Step-by-step explanation:
divide 352 by 11
The required rate for Nevaeh's car uses 32 miles per gallon of gas.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.
Here total distance traveled by car = 352 miles
And the number of used gallons = 11
the car uses gas = 352 miles / 11 gallons
the car uses gas = 32 miles per gallon
Therefore, the required rate for his car uses 32 miles per gallon of gas.
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Help ASAP !
Help ASAP !
Help ASAP !
Answer:
21/40
Step-by-step explanation:
Answer:
0.525 or 21/40. Find the LCM between the denominators which is 40.
Hey I need help
solve: (2 to the power of 4) - 6 divided by 2.
Answer:
13
Step-by-step explanation:
2 to the power of 4 - 6 divided 2
16 - 6 divided by 2
16 - 3
13
Answer: 13
Step-by-step explanation:
2 to the power of 4 =
16 - 6/2 = 16 - 3 = 13
A television that costs $500 is marked up 250%. What is the new price if the television?
Answer:1,750
Step-by-step explanation:
sorry if im wrong I tried
Point S is between R and T. If RS = 2x + 10, ST = x - 4, and RT = 4x - 10, find
the value of x.
Hint: Draw a picture!
O x = 16
O x = 8
O x = 10
O x = -14
Answer:
i dont really get your question tho
Answer this question and ill give out brainliest
Gimme a reason
Answer:
A rift valley is forming.
Step-by-step explanation:
Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.
Write the coordinates of the vertices after a reflection over the line y = 1.
*tuff scrolls
*looks at other hard things
Given: -5x+2/7=-4; Prove: x=6
need to fill out a chart (picture provided) of the statements and reasons for this equation.
Elena and Max used to rectangular wooden boards to make a set for the school play one board was 6 ft long and the other was 5 and 1/2 ft long the two boards had equal width the total area of the set was 60 and 3/8 square feet what was the width
Answer:the width is 5 1/4 ft
Step-by-step explanation:
Step 1
The area of a rectangle is given as Length x width
Therefore the area of the rectangular board = Length x width
The length of the first board =6ft
The length of the second board =5 1/2 ft (5.5ft) with both having a total area of 60 3/8 (60.375ft²). To find the width of the boards since both have equal width, we use the equation
Length x width of board A + Length x width of board B= area of board A and Board B
6w + 5.5w =60.375
Step 2---- Solving the equation
6w + 5.5w =60.375
11.5w = 60.375
w = 60.375/11.5
w= 5.25
Therefore the width of the two boards are 5.25 ft / 5 and 1/4 ft each
factor the expression -28x+35b-14