Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab + b²
(x -4)² - (x - 4)(x +3) = 35
x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35
x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35
x² - 8x +16 - [ x² -x - 12] = 35
x² - 8x + 16 -x² + x + 12 = 35
x² - x² - 8x + x + 16 + 12 = 35 {Combine like terms}
-7x + 28 = 35
-7x = 35 -28
-7x = 7
x = 7/-7
x = -1
Please answer below :) I will mark the brainiest answer
Answer:The last option is correct.
Step-by-step explanation:
what is the simplest form 2 sqrt 3 / sqrt 6
howdy the answer is A
sqrt 2
evaluate 16/5 + -7/8
Answer:
93/40 or 2.325
Step-by-step explanation:
16/5 + (-7/8) =
16/5 - 7/8 =
(128 - 35)/40 =
93/40 or 2.325
solve for x, find the measure of all angles hurryyyyyyy!
Answer:
x=6 as 180 in triangle take away 150 30 by 5 is 6
The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.
Answer:
a. Use two sets of coordinates to write an equation to describe the relationship.
m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]
y = 8x
b. Interpret the equation in words.
Each roller coaster car holds 8 passengers.
Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to 3/4 of its height to prevent spills. What is the approximate volume of water in Anju's cup?
Answer: 126 cubic centimeters
Step-by-step explanation:
volume = (pi)(r^2)(1/3)(h)
diameter = 8 so radius = 4
4 squared is 16
multiply height by 3/4
10(3/4) = 30/4 = 15/2
Multiply this value by 1/3
15/2 x 1/3 = 15/6 = 5/2
(pi)(25)(5/2)
16x5/2 = 80/2 = 40
(pi)(40)
note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.
126 cubic centimeters
94.2 cubic centimeters is the approximate volume of water in Anju's cup.
To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:
Volume = (1/3) × π × r² × h
Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.
The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.
Substituting these values into the formula:
Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)
Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm
Volume = 12.56 cm² × 7.5 cm
Volume = 94.2 cm²
Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).
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Graph the function f(x)=1/2x+1
Answer:
See attached graph.
Step-by-step explanation:
13 What is the equation of the line that has a slope of -3 and passes through the point (4,6)?
A-3x+y=-14
B -3x+y=-6
C 3x+y=18
D 3x+y=22
Step-by-step explanation:
the general equation of a line is
y = ax + b
a is the slope of the line.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
6 = -3×4 + b = -12 + b
18 = b
so, the full line equation is
y = -3x + 18
which is answer C : 3x + y = 18
-4 + (-3) – 8 + (-2) =
Whoever needed help with this MATH question I got it for you...
Answer: F(x)= 4,800(1.5)^X
Answer:
1+2=3
Step-by-step explanation:
what is the proportional relationship represented by this table?
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3
Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ?
Answer:
243 km
precio de los kilómetros: $2357.10
Step-by-step explanation:
precio total = tarifa mínima + precio de los kilómetros
Para x kilómetros,
P = 490 + 9.7x
P = 2847.1
490 + 9.7x = 2847.1
9.7x = 2357.1
x = 243
precio de los kilómetros: 243 × $9.70/km = $2357.10
Respuesta: 243 km
precio de los kilómetros: $2357.10
ggraph this function
Answer:
The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.
x is a whole number such that 7x – 3 > 18
Write down the smallest value of x.
7x - 3 > 18
Add 3 to both sides
7x > 21
Divide both sides by 7:
X > 3
Since x has to be greater than 3 the smallest whole number that would work is 4
Answer: 4
Answer:
see below
Step-by-step explanation:
7x – 3 > 18
Add 3 to each side
7x – 3+3 > 18+3
7x> 21
Divide by 7
7x/7 >21/7
x > 3
The smallest integer value of x is 4
What is the quotient of 4/5÷1/3
The quotient of a division, is the result of the division, for example, 3 divided by 3, the result is 1, that is the quotient.
[tex]\sf \displaystyle \sf \frac{4}{\:5}\div \frac{1}{3}\\\\\\\sf \frac{4}{5}\times \frac{3}{1}\\\\\\\sf \frac{4\times \:3}{5\times \:1}\\\\\\\sf \frac{12}{5\times \:1}\\\\\\\sf \frac{12}{5}\approx\boxed{\sf 2,2\ll Quotient}[/tex]
Okay?!A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.
please help
What is the area of the following triangle in square meters? Do not round your answer. A =
WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST
Answer:
0.324 m²
Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)
and we apply the formula
1.2 * 0.54 : 2 =
0.324 m²
Answer:
32.4? or 0.324 m²
Step-by-step explanation:
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?
Answer:
The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.
Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .
In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:
( × 9) ÷
( × 9) × = 18 quarts
To learn more about ratios, please check: brainly.com/question/17995727
Step-by-step explanation:
18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that recipe for sparkling grape juice calls for [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quart of grape juice
Let us convert [tex]1\frac{1}{2}[/tex] to improper fraction as 3/2
We need to find the amount of sparkling water would you need to mix with 9 quarts of grape juice
Let x be the sparkling water would you need to mix with 9 quarts of grape juice
Let us form a proportional equation.
3/2/(3/4)=x/9
3/2×4/3=x/9
2=x/9
18=x
Hence, 18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.
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which problem solving strategy would be best to solve this problem?
To study for the spelling competition, Jose memorized 2 words from the list. The next day, Jose memorized 4 words from the list. The third day, Jose memorized 8 words from the list. If Jose continues, how many words will he memorize on the tenth day
A.look for a pattern
B.work backwards
C.write an equation
D.guess, check and revise
Answer:
The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,
Step-by-step explanation:
True or False?
If you graph the points (2,4) and (-1.-1). Do they would represent a proportional
relationship.
Answer:
1
Step-by-step explanation:
i need some help with simple algebra! using pemdas :p
Answer:
the answer is 69
Step-by-step explanation:
the step by step explanation is that 2+2+4
pemdas
perenthasy
exponents
multiplication
division
adition
subtraction
The cookie's diameter is 14 cm. How much is the radius?
Answer:
7Step-by-step explanation:
The cookie's diameter is 14 cm. How much is the radius?
diameter = 2 * radius
radius = 1/2 diameter
14 : 2 = 7
19. Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?
Answer:
yes
Step-by-step explanation:
because everyone has a different method that works for them.
but then again it uses the pronoun you which means its asking for your opinion its not phrased
what would help študents pay more attention in class
so yes and no
PLEASE HELP FIND THE MEASURE OF X
Answer:
28.3
Step-by-step explanation:
if a side is 90 degrees, this makes the two other angles 45 degrees.
if the base side is 40, this makes the two other sides 28.284.
rounding 28.284 to the nearest tenth, we get 28.3
Doug digs a hole that is 1.7 feet below ground level. He plants a bush that is 3 7/10 feet tall from the bottom of the root to the top branch. how much of the Bush is above the ground? (help this assignment is apart of my grade!)
Answer:
2 feet
Step-by-step explanation:
37/10 - 1.7
3.7 - 1.7
2.0
= 2 feet
Type the missing number in this sequence:
5,
12, 19,
26,
Answer:
33
Step-by-step explanation:
You are adding 7 each time.
Hope this helps :)
Answer:
33
Step-by-step explanation:
Sequence is the progression of a number in a sequencial order.
[tex]5 + 12 + 19 + 26 + 33[/tex]Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have $6.70, how many of each type of coin do you have?
answer:
32 dimes and 14 quarters
step by step:
32 x 10 = 320
14 x 25 = 350
320 + 350 = 670
670¢ = 6.70$
The answer please it’s from khan academy
Answer:
Step-by-step explanation:
Before removing brackets, multiply everything inside them by two.
2*1/5 m - 2 * 2/5 + 3/5
2/5 m - 4/5 + 3/5
2/5 m - 1/5
That's as much as you can do. No further reduction is possible.
Answer:
[tex]\frac{2m-1}{5}[/tex]
Step-by-step explanation:
[tex]2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}[/tex]
First, simplify [tex]\frac{1}{5} m[/tex] to [tex]\frac{m}{5}[/tex]:
[tex]2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}[/tex]
Merge the denominators:
[tex]2(\frac{m-2}{5} )+\frac{3}{5}[/tex]
Simplify:
[tex]\frac{2m-4}{5} +\frac{3}{5}[/tex]
Merge the denominators again:
[tex]\frac{2m-4+3}{5}[/tex]
Simplify one final time:
[tex]\frac{2m-1}{5}[/tex]
Please mark brainliest if this helps you, and I can provide more information if needed.
Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8