Answers
Answer:
21
Step-by-step explanation:
Let the three consecutive integers be;
x , x + 1 and x + 2:
The sum of squares of the two smaller numbers:
The two smaller numbers are x and x+ 1
Sum of their squares:
x² + (x+1)²;
x² + x² + 2x + 1 = 2x² + 2x + 1
It is 45 more than the square of the larger number:
Larger number = x + 2
(x+2)² = x² + 4x + 4
45 more;
x² + 4x + 4 + 45 = x² + 4x + 49
Both are equal:
2x² + 2x + 1 = x² + 4x + 49
2x² - x² + 2x - 4x + 1 - 49 = 0
x² - 2x - 48 = 0
x² - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x + 8)(x-6) = 0
x + 8 = 0 or x - 6 = 0
x = -8 or x = 6
We choose x = 6 because it makes the solution true as a positive integer
Sum of the three numbers:
x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21
Related Questions
Write a linear function f with f(0) = 2 and f(2)=4.
f(x) =
Answers
Answer:
f(x) = x + 2
Step-by-step explanation:
(0, 2)
(2, 4)
Slope m = (4 - 2) / (2 - 0) = 1
y - 2 = 1(x - 0) ⇔ y = f(x) = x + 2
True or False?
2^3 < 3^2
Answers
Answer:
True
Step-by-step explanation:
[tex]2^{3} <3^{2} \\2*2*2<3*3\\8<9[/tex]
Answer:
True
Step-by-step explanation:
What is the quotient of x and three increased by 12 = 20
Answers
Answer:
x= 24
Step-by-step explanation:
Quotient means divide, increased means add
x/3 + 12 =20
Subtract 12 from each side
x/3 +12-12 = 20-12
x/3=8
Multiply each side by 3
x/3 * 3 =8*3
x= 24
Answer:700 / n, the quotient of 700 and a number. 2w, two times a ... h - 3, three less than a number ... 20 + m, 20 more than a number. x - 12, a number decreased by 12.
Step-by-step explanation:
Pls help ASAP!
What postulate are the triangles congruent by?
Answers
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
The table below represents the number of hours a student worked and the amount of money the student earned. What is the initial amount this student is paid? (Base pay, when number of hours, h = 0) I’LL PAY YOU 30 DOLLARS IN CASHAPP RIGHT NOW WHEN YOU DO IT!
Answers
The initial amount this student is paid is 0 and this can be determined by using the two-point slope form of the line.
Given :
The given table represents the number of hours a student worked and the amount of money the student earned.
The following steps can be used in order to determine the initial amount this student is paid:
Step 1 - The two-point form of the line can be used in order to determine the initial amount this student is paid.
Step 2 - So, the linear equation that represents the given situation is:
[tex]\rm \dfrac{d-50}{h-8}=\dfrac{93.75-50}{15-8}[/tex]
Step 3 - Simplify the above expression.
[tex]\rm \dfrac{d-50}{h-8}=6.25[/tex]
d - 50 = 6.25h - 50
d = 6.25h
Step 4 - Now, substitute the value of (h = 0) in the above expression.
d = 0
Therefore, the correct option is D) There is no base pay.
For more information, refer to the link given below:
https://brainly.com/question/11897796
The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?
Answers
Answer:
It's simple. All you need to do is subtract 2 from 40.
Length: 40 ft
Width: 38 ft
Hopefully that helped! :)
Step-by-step explanation:
Find the value of missing angles
Answers
7x + 96 = 180
7x = 84
X = 12
How can 38 over 6 be expressed as a decimal?
Answers
Answer:
6.3 repeating
Step-by-step explanation:
A function f(x)is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answers
Answer:
[tex]f(x)=2x+1[/tex]
Step-by-step explanation:
At x=0, the y is at 1
at x=1, y went up to 3
the change between 3 and 1 is 2 therefore the equation is
[tex]f(x)=2x+1[/tex]
I hope this helps you and good luck!
equivalent ratio to 2:5
Answers
Answer:
4:10
8:20
16:40
1:2.5
Step-by-step explanation:
Sophie bikes s miles per hour. Her friend, Rana, is slower. Rana bikes r miles per hour.
c
Rana and Sophie went for a 20-mile bike ride today. Each girl biked at her usual speed. How long did Sophie wait for Rana at the end of the route?
Answers
Answer:
C x 20 + R x 20
Step-by-step explanation:
C x 20 + R x 20 or
20c + 20r
PLEASE HELP ME I ONLY HAVE 10 MINS TO FINISH ALL MY ASSIMENTS, WILL GIVE BRAINLIEST AND 15 POINTS
question:The baseball infield has an area of 90^2 square feet. What is the area of the infield?
Answers
Answer:
8100 square feet
Step-by-step explanation:
de un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?
Answers
Answer:
2
Step-by-step explanation:
el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2
Answer: 2
Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2 Espero que ayude Ten un día maravilloso :)
Express the tangent of
Answers
Answer:
Step-by-step explanation:
TANGERINES
Answer:
of what ? finish the question
Find the value of X in the triangle
Answers
Answer:
44°Step-by-step explanation:
[tex]m\angle BAC=180^o-124^o=56^o\\\\\overline{AB}=\overline{BC}\quad\implies\quad m\angle BCA=m\angle BAC=56^o\\\\m\angle ABC=180^o-2\cdot56^o=68^o[/tex]
[tex]m\angle DBE=m\angle ABC=68^o[/tex] {vertical angles}
[tex]\overline{BD}=\overline{DE}\quad\implies\quad m\angle DEB=m\angle DBE=68^o\\\\m\angle x=180^o-2\cdot68^o=44^o[/tex]
There are 6 people in George's family. How much did George's mom pay for tickets? Show how you found your solution.
Answers
Answer:
$75
Step-by-step explanation:
To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.
The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.
Using (4, 50), this means that 4 tickets cost $50.
Unit rate/constant of proportionality = y/x = 50/4 = 12.5
This means a ticket costs $12.5.
Therefore, 6 tickets would cost:
6 tickets × $12.5 = $75.
George's mom paid $75 for the tickets?
You guys are life savers but does anyone know the answers to these questions? I’m so confused rn
Answers
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be [tex]\frac{3}{-1}[/tex] , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
Find the area of the circle.
Answers
Answer:
8.938
Step-by-step explanation:
Answer:
dont at me if its wrong but i think its the second one
Step-by-step explanation:
The price of a DVD is $24.00 plus 8% sales tax.What is the sales tax on this DVD in dollars and cents?
A) 25
B) 0.8
C) 1.92
D) 30
Answers
Answer:
Your answer is C) 1.92
Hope this helps ^_^
Answer:
Sales tax is $1.92 or 192 cents.
Step-by-step explanation:
Given the price of a DVD is $24.00 plus 8% sales tax.
we have to find the sales tax on this DVD in dollars and cents.
The sales tax is 8% can be calculated as
8/100 X $24
1.92
In cents
as one dollar equals 100 cents
∴ 1.92 dollar = $1.92 = 192 cents
Hence, sales tax is $1.92 or 192 cents.
So your answer is C!!
Solve for y.
4(y - 8) + 6 = 58
Answers
Answer:
[tex]4(y - 8) + 6 = 58 \\ or \: 4y - 32 + 6 = 58 \\ or \: 4y - 26 = 58 \\ or \: 4y = 58 + 26 \\ or \: 4y = 84 \\ or \: y = \frac{84}{4} \\ or \: y = 21[/tex]
21 is the answer.....Hopes to get BRAINLIEST......Hopes it helps you.......Thank you ☺️
i really need help i have 1 minute to complete!!!!!
Answers
Answer:
8 angles are formed, and if angle one is 105° then angles 4, 5, and 8 are also 105°. and angles 2, 3, 6, and 7 would be 75°
Find all multiples of 6 that are less than 40
Answers
Multiply 6 by numbers 1 -6:
To get:
6, 12, 18, 24, 30,36
What is the domain of the function in this table
Answers
The main fuction is mulitiply by 2 each 1 point
Step-by-step explanation:
identify an equation in slope-intercept form the line parallel to y=-3x+7that passes through (2,-4)
Answers
Answer:
y=-3x+2
Step-by-step explanation:
Same slope = parallel. You can aso double check this answer by either graphing using the desmos online graphing calculator or by plugging in the point into the equation y = -3(2) + 2 --> y = -6 + 2 --> y = -4, so we are correct.
Answer:
y=-3x+2
Step-by-step explanation:
In this equation the slope is the same as the original equation (-3), but has a different y-intercept meaning that this line is parallel. As for satisfying the requirement that the line is parallel and passes through (2,-4), I plugged the coordinates into the equation y=-3x+b to get -4=-3(2)+b, and then found what b would have to equal to make the equation true.
(plus I put my answer into a graphing calculator to check my work)
3 and 4 plz help me im nice
Answers
Answer:
3. 7.2
4. 20
Step-by-step explanation:
find the area of the figure. (sides meet at right angles.) 2m 2m 2m 2m 3m 7m 7m 7m
Answers
- klhat percentage of 40 is 8?
Answers
Step-by-step explanation:
8/40 x 100% = 20%
Topic: percentage
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52. .Item. .Price Per Pound. .Fruit Chews. $4.70 .Jelly Beans. $2.35 .Chocolate. $3.50 .If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?
Answers
Answer:
The amount of money Jake had left after his purchase is $10.85
Step-by-step explanation:
The amount of Fruit Chews Jake selected = 1.6 pounds
The amount of Jelly Beans Jake selected = 2.6 pounds
The sales tax = $0.52
The amount of money Jake had to spend = $25
The table of values are;
Price Per Pound [tex]{}[/tex]
Fruit Chews = $4.70
Jelly Beans = $2.35
Chocolate = $3.50
The amount of money Jake had to spend $25
The total amount of the candies Jake bought = 1.6 × $4.70 + 2.6 × $2.35 = $13.63
The total amount Jake spent = The total amount of the candies Jake bought + The sales tax
The total amount Jake spent = $13.63 + $0.52 = $14.15
The amount of money Jake had left after his purchase = The amount of money Jake had to spend - The total amount Jake spent
The amount of money Jake had left after his purchase = $25 - $14.15 = $10.85
The amount of money Jake had left after his purchase = $10.85.
Find the third, fifth, and tenth terms of the sequence described by the rule.
A(n)= -5+ (n - 1)(6)
A(3) =
(Simplify your answer.)
A(5) =
(Simplify your answer.)
A(10) =
(Simplify your answer.)
Answers
A(5)= -19
A(10)= -49
Pls help me I need help
Answers
Answer:
$4.80 per square foot
Step-by-step explanation:
1200 ÷ 250 = 4.8
Hope this helps. Pls give brainliest.