Answer:
x=-1, x=3
Step-by-step explanation:
to solve by factoring:
1. swap the sides:
0=(x-1)^2-4
2. expand the expression:
(x-1)^2-4=0
3. rewrite and calculate:
x^2-2x+1-4=0
4. factor
x^2+x-3x-3=0
5. Factor... again
x(x+1)-3(x+1)=0
6. separate
(x+1) (x-3)=0
7. solve
x+1=0, x-3=0
8. and you end up with 2 solutions
x=-1, x=3
Please help me out with this!
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $230 and first class tickets for $1290. She used her total budget for airfare for the trip, which was $7600. How many first class tickets did she buy? How many coach tickets did she buy?
You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
Explicit formula -6,-10,-14
Answer:
Tn = -6 + (n - 1)(-4)
Step-by-step explanation:
The explicit formula is this: Tn = a + (n - 1)*(d), where 'a' is the first term and 'd' is the common difference.
The first term is given to you and that is -6.
The common difference is -4 because:
d = -10 - (-6)
d = -10 + 6
d = -4
Hence: Tn = -6 + (n - 1)(-4)
#30 Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was
collected. Let x represent the number of tickets sold at the door.
In terms of x. how many tickets were sold in advance?
Answer:
170 tickets were sold in advance
Step-by-step explanation:
Let x represent the = number of tickets sold at the door.
Let y represent the = number of tickets sold in advance
Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was
collected.
Hence, we have two equations
x + y = 400 tickets
$3 × x + $2 × y = $1,030
x + y = 400.... Equation 1
x = 400 - y
3x + 2y = 1030........ Equation 2
Substitute 400 - y for x in Equation 2
3(400 - y) + 2y = 1030
1200 - 3y + 2y = 1030
Collect like terms
-y = 1030 -1200
-y = -170
y = 170
Since y represent the number of tickets sold in advance, therefore, 170 tickets were sold in advance.
Serena's book collection contains 23 fiction books and 4 non-fiction books part to part or part to whole ratio
Step-by-step explanation:
that's a part to part ratio
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =
Answer:
Lesser x is -13.
Greater x is 1.
Step-by-step explanation:
We have the function:
[tex]f(x)=(x+6)^2-49[/tex]
And we want to find the zeros of the function.
So, set f(x) to 0 and solve for x:
[tex](x+6)^2-49=0[/tex]
Add 49 to both sides:
[tex](x+6)^2=49[/tex]
Take the square root of both sides. Since we're taking an even root, we will need plus/minus:
[tex]x+6=\pm 7[/tex]
Subtract 6 from both sides:
[tex]x=\pm7-6[/tex]
Evaluate for each case:
Case 1; 7 is positive:
[tex]x=7-6=1[/tex]
Case 2; 7 is negative:
[tex]x=-7-6=-13[/tex]
So, our zeros are:
[tex]\{x|-13, 1\}[/tex]
Our lesser x is -13, and our greater x is 1.
And we're done!
. Maggie is participating in her school reading challenge. She reads 40 books, 26 of which are fiction. What percent of the books that she read are fiction?
ASAP!!!
Answer:
65%
Step-by-step explanation:
26/40 x 100= 65%
hope this helps!
Mrs. Smith earns $3500 a month. She saves $280 a month. Savings is what percent
of her income?
Answer:
6 to 8 percent
Step-by-step explanation:
Find the value of n.
3n + 12
n+ 14
Answer:
Is the question 3n+12 = n +14?
Step-by-step explanation:
If so the ANSWER is n=1
3n+12=n+14
3n-12=n+14
3n=n+2
-n -n
2n=2
n=1
A) How many stems and leaves would a stem-and-leaf plot of 20 data points from 10-59 have?
A 20 stems and 5 leaves B 20 stems and 20 leaves C 5 stems and 20 leaves D 5 stems and 5 leaves
B) 5q = 15
ANSWER BOTH PLS!
Amelie is shopping for children's books and puzzle books. She wants to purchase at least 2 more children's books than puzzle books, but she can afford no more than 15 items total. If x represents the number of childrens books and y represents the number of puzzle books Amelie purchases, which point lies in the solution set?
What number of grams is in 17 kilograms
Answer: 17000
Step-by-step explanation: Multiply the mass value by 1000
What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, comma, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \sqrt{10} 10 square root of, 10, end square root (Choice B) B \sqrt{29} 29 square root of, 29, end square root (Choice C) C 888 (Choice D) D 99
Answer:
Choice B) B \sqrt{29} 29 square root of, 29, end square root = √29
Step-by-step explanation:
When given coordinates, the distance between those points(coordinates) is calculated as:
Distance = √(x2 - x1)² +(y2 - y1)²
Given(x1, y1), (x2, y2)
Fromm the question, we are given points(4,7) and (2,2)
Distance = √(x2 - x1)² +(y2 - y1)²
= √(2 - 4)² + (2 - 7)²
= √-2² + -5²
= √4 + 25
= √29
Therefore, Choice B is the answer = √29
Daniel buys a swing set priced at $788. If the sales tax is 7%, how much tax will Daniel pay? Submit
Answer:
he will pay 55.16
the quotient of 5 times a number and 7 is equal to 10 what is the number
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?
5
7
45
63
Answer:
the answer is 7 hope this helps
Answer:7
Step-by-step explanation:
You can eat no more than 40 slices of pizza each week. If you have
pizza every day, what is the maximum number of slices (s) you can
eat each day? Round your answer to the nearest tenths place.
i have to create a linear equation and solve it
Answer: 5.7 slices
Step-by-step explanation:
7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.
Divide both sides by 7:
7x/7 = 40/7
x= 5.7
There are 876 students in a school. There are 46 more boys than girls. How
many boys are there?
Answer:
(876 + 46) ÷ 2 = 461 boys
Answer:
876/2
=438
=438+46
=484 boys are there in a school.
What it the solution to this equation?
2x+3=x-4
Answer:
x = -7
Step-by-step explanation:
Solve for x:
2 x + 3 = x - 4
Hint: | Move terms with x to the left-hand side.
Subtract x from both sides:
(2 x - x) + 3 = (x - x) - 4
Hint: | Combine like terms in 2 x - x.
2 x - x = x:
x + 3 = (x - x) - 4
Hint: | Look for the difference of two identical terms.
x - x = 0:
x + 3 = -4
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
x + (3 - 3) = -3 - 4
Hint: | Look for the difference of two identical terms.
3 - 3 = 0:
x = -3 - 4
Hint: | Evaluate -3 - 4.
-3 - 4 = -7:
Answer: x = -7
consider the equation 8x+4y=64
where does the graphs intersect the x-axis ?
provide the coordinate point below ( , )
if y=24 when x=6, find y when x=-4.
Answer:
[tex]\huge\boxed{y=-16}[/tex]
Step-by-step explanation:
We have to note that this represents a proportional relationship. This means that every time x increases by 1, y will increase by a proportional value.
In order to solve for proportions, we can create a proportion fraction which basically puts two variables over each other. Let's put x over y.
[tex]\frac{x}{y}[/tex]
We know that in the first fraction, x=6 and y=24.
[tex]\frac{6}{24}[/tex]
And we know that x=-4 but we have an unknown y value.
[tex]\frac{-4}{y}[/tex]
We can now set these proportions equal to each other and solve for the missing y using cross products.
[tex]\frac{6}{24}=\frac{-4}{y}[/tex] [tex]y = (24 \cdot -4) \div 6[/tex] [tex]y = -96 \div 6[/tex] [tex]y = -16[/tex]Hope this helped!
Mary is saving money for college expenses. She saves the same amount each month. She saves the same amount each month. The table shows the amount of money Mary has saved after 4 and 7 months. Which statements about the this situation are true and support the relationship as being proportional? Select all that apply.
Answer:
A, C, DStep-by-step explanation:
See attached for answer options
As per the table, the points are:
(4, 80) and (7, 140)This is linear function and the formula is:
y = mx + bm = (140-80)/(7-4) = 2080 = 20*4 + bb = 0So the function is
y = 20xThe correct answer options attached
A parking lot is 272.5 feet long and 151.25 feet wide. How much longer is the lot than it is wide?
_____ feet
Answer:
121.25 feet
Step-by-step explanation:
Answer:
121.25 feet because 272.5-151.25=121.25
n − 10 + 9n − 3 4) −4x − 10x
Answer:
9n−14x−44
Step-by-step explanation:
Can someone please help me asappp I’ll mark brainlist !!!
Answer:
D. y = 76x
Step-by-step explanation:
First you find the gradient, by using the gradient formula
rise over run
380 - 228
---------------- <- division sign
5 - 3
152/2 = 76
Hence y = 76x + c
Find c by subbing points in. I am going to use this as an example (5, 380)
380 = 76(5) + c
380 -380 = c
c = 0
Hence, y = 76x
please help with this, i don’t understand it.
Answer:
Im pretty sure its 50
Step-by-step explanation:
A line is 180° so you add
65 + 65 = 130
Then subtract 180
180 - 130 = 50
Hope that helps
Answer:
50
Step-by-step explanation:
The total degrees is 180 so
use the equation 65+65+x=180
simplify
130+x=180
minus 130 on both sides
x=50
EXTRA POINTS* how do you graph a fraction? for example slope= 1/2, y-intercept: -2 how do you graph this
Answer:
Because of the y intercept, you would first plot a point at (0,2). This means that you would put the point when x does not from the origin (middle of the lines) and 2 points up from it. After, for every 2 points going to the right, you go only 1 up on y. This is because the slope is 1/2. I recommend you watch Khan Academy.
Step-by-step explanation:
Write each rational exponent as a radical.
X1/6
Answer:
i pooped myself
Step-by-step explanation:
please help
The prediction equation y = 5.92x + 119.21 models the median selling price, in thousands of dollars, of new homes in a certain area since 1995. Predict the median selling price in 2015.(Do not separate the numbers
Answer:
$237.61Step-by-step explanation:
given that the function to predict the price is
y = 5.92x + 119.21
x= the number of year,
given that we are predicting from 1995-2015
the difference is 20years
So put x=20 in the expression we have
y = 5.92(20) + 119.21
y=118.4+119.21
y=237.61
the median price is $237.61
Solve for u 20+17u= -6 + 15u simplify as much as possible.