Answer:
Step-by-step explanation:
the answer is 25x^2-40x+16
25x^2-40x+16 is equivalent to (5x - 4)^2.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
(5x - 4)^2
we know,
(a-b)^2= a^2-2ab+b^2
by using this, we get,
(5x - 4)^2
=5x*5x-2*5x*4+4*4
=25x^2-40x+16.
Hence, 25x^2-40x+16 is equivalent to (5x - 4)^2.
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If f(x) = 10, find x.
Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
Answer:
Step-by-step explanation:
3.8-2.923
Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.
[tex] |15 - 4| [/tex]
PLEASEEEEE HELPPP
Answer:
11
Step-by-step explanation:
15-4=11
|11|=11
Which of these is a prime number?
733
712
702
725
Answer:
733
Step-by-step explanation:
712 and 702 end in 2, so they're divisible by 2.
725 ends in 5, so it's divisible by 5.
733 is not divisible by 2.
7 + 3 + 3 = 13, so 733 is not divisible by 3.
It looks like 733 is the prime number.
Ian's car can go 140 miles on 4 gallons of gas. During a drive last weekend, he used 5 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance driven last weekend instead of how much gas he used.
140 miles / 4 gallons = 35 miles per gallon.
35 x 5 = 175 miles
Answer:
The car would be able to drive 175 miles with 5 gallons of gas.
Step-by-step explanation:
Every gallon of gas would give you 35 miles of distance.
To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.
Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.
For every 35 miles, I gallon of gas is used.
Hope this helps.
Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)
Answer:
[tex](x+4)^2+(y-8)^2=85[/tex]
Step-by-step explanation:
The standard equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:
[tex](x-(-4))^2+(y-8)^2=r^2\\[/tex]
Simplify:
[tex](x+4)^2+(y-8)^2=r^2[/tex]
Now, we will need to find r.
We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:
[tex](-2+4)^2+(-1-8)^2=r^2[/tex]
Evaluate:
[tex](2)^2+(-9)^2=r^2[/tex]
Square:
[tex]4+81=r^2[/tex]
Add:
[tex]r^2=85[/tex]
So, r squared is 85.
We don’t actually have to solve for r itself, since we will have to square it anyways.
So, we have:
[tex](x+4)^2+(y-8)^2=r^2[/tex]
Substituting 85 for r squared, we get:
[tex](x+4)^2+(y-8)^2=85[/tex]
And we have our equation.
PLEASE HELP ME ASAP
Solve for x in the diagram below
Answer:
x=12
Step-by-step explanation:
The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12
Answer:
[tex]\huge\boxed{\sf x = 12}[/tex]
Step-by-step explanation:
6x - 2 + 20 = 90 [Complementary Angles]
6x + 18 = 90
Subtracting 18 to both sides
6x = 90 - 18
6x = 72
Dividing both sides by 6
x = 12
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-
bedroom condo. The total rent she receives is $1240. She needs to make repairs on the
condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-
bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total
repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.
How much is the rent for all three condos?
Answer:
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = $560
Step-by-step explanation:
Given that :
Total rental cost for all 3 condos = $1240
Let :
I bedroom condo = b
2 bedroom condo = c
3 bedroom condo = 2b
Hence,
b + c + 2b = 1240
3b + c = 1240 - - - (1)
REPAIR COST :
Total repair cost = $276
1 bedroom = 10% of b = 0.1b
2 bedroom = 20% of c = 0.2c
3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b
Hence,
0.1b + 0.2c + 0.6b = 276
0.7b + 0.2c = 276 - - - (2)
From (2)
0.7b + 0.2c = 276
0.7b = 276 - 0.2c
b = (276 - 0.2c) / 0.7
Substitute b = (276 - 0.2c) / 0.7 into (1)
3(276/0.7 - 0.2c/0.7) + c = 1240
1182.8571 - 0.8571428c + c = 1240
1182.8571 + 0.1428571c = 1240
0.1428571c = 1240 - 1182.8571
0.1428571c = 57.1429
c = 57.1429 / 0.1428571
c = 400
3b + c = 1240
3b + 400 = 1240
3b = 1240 - 400
3b = 840
b = 840/3
b = 280
Hence,
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = 2(280) = $560
PLEASE ANSWER I AM ON A TIMED TEST
What value of b will cause the system to have an
infinite number of solutions?
y = 6x - b
-3x+ 1/2=-3
b =
A 2
B 4
C 6
D 8
On Dan's eReader 2/3 of the books are fiction. Of the fiction books, 4/5 are mysteries. What fraction of the books on Dan's eReader are mysteries?
1 point
A. 4/5
B. 8/15
C. 2/3
D. 4/6
Answer:
4/6
Step-by-step explanation:
hope this helps you
i need help plz ill give brainliest
Answer:
The answer is D
Step-by-step explanation:
Hope this helps! Please mark brainliest
12 x 3.4x - 5.4x - x
Answer:
34.4x
Step-by-step explanation:
Answer:
34.4x
Step-by-step explanation:
40.8x-6.4x=34.4x
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
1.75=5n or 5n=1.75
Step-by-step explanation:
There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75
Answer:
5n=1.75
Step-by-step explanation:
the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.
here, we have assumed that 1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle
on a piece of paper graph y=-2x-3. then determine which answer matches the graph you drew
The line will cut the y-axis at y = -3
Equation of a lineThe standard equation of a line is expressed as y = mx + b
where:
m is the slopeb is the y-interceptGiven the equation y = -2x - 3, you can see that the slope is -2 and the y-intercept is -3.
This shows that the line will cut the y-axis at y = -3
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Marco is 6 feet 3 inches tall. There are 2.54 centimeters in 1 inch. What is Marco's height in centimeters?
Answer:
192 cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, let's convert 6 feet 3 inches to just inches. Because there are 12 inches in 1 foot, we can say that there are 72 inches in 6 feet. Combined with the other 3 inches, we can say that Marco is a 75 inches tall.
Now, we can multiply the number of inches we found by 2.54 to get Marco's height in centimeters. This gives us 190.5 cm.
What is the y intercept of y= -3x-2
(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)
Answer:
-2
Step-by-step explanation:
we always know that the y intercept is after the x part. for example, if it was
y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign
please help me due in a few minutes
Answer:
7 units down
Step-by-step explanation:
x+4
x-3
4-(-3) =7
A triangle on a coordinate plane is translated according to the rule T-3, 5(x, y). Which is another way to write this rule?
VX
(x,y) - (x - 3, y + 5)
O (x, y) - (x-3, y-5)
(x,y) - (x + 3, y-5)
O(x, y) - (x + 3, y + 5)
Answer:
A
Step-by-step explanation:
The solution is, The way to write the rule is: (x, y) is (x – 3, y + 5).
A triangle which is on a coordinated plane is translated to the rule.
What is coordinate plane?Two lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line that is the other number line.
here, we have,
The original rule x and y coordinates
that are being moved to the left-hand side of the equation by
decreased by 3 units and rise up by 5 units.
Based on the information given,
we can come to the conclusion that other way to
write the given rule is
(x, y) is (x – 3, y + 5).
Hence, the other rule which are given are incorrect.
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7 3 2 = 2 insert symbols
Answer:
7 - 3 - 2 = 2
Step-by-step explanation:
Becca made 2 trays of rolls and biscuits. Each tray had 12 rolls and 6 biscuits. How many total rolls and biscuits did Becca make? helppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeee
Answer:
Becca made 24 rolls and 12 biscuits
Step-by-step explanation:
Becca will have 24 rolls and 12 biscuits on the tray.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Becca made 2 trays of rolls and biscuits.
Since in 1 tray there are 12 rolls and 6 biscuits.
Number of rolls in 2 tray = 2(12) = 24 rolls
Number of biscuits in 2 tray = 2(6) = 12 biscuits.
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Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...
Answer:
12
Step-by-step explanation:
[tex]a_{n-1}=12\\\\
Plug\: n = n + 1\\\\
a_{n+1-1}=12\\\\
\huge \red {\boxed {a_{n}=12}} \\\\[/tex]
Find the missing factor BBB that makes the equality true. -35x^6=(-5x^2)(B)−35x 6 =(−5x 2 )(B)minus, 35, x, start superscript, 6, end superscript, equals, left parenthesis, minus, 5, x, squared, right parenthesis, left parenthesis, B, right parenthesis B =B=B, equals
Answer:
[tex]B=7x^4[/tex]
Step-by-step explanation:
The given equality is
[tex]-35x^6=(-5x^2)B[/tex]
Take the term [tex](-5x^2)[/tex] to the left hand side. This means the term [tex]-35x^6[/tex] will be divided by [tex](-5x^2)[/tex]
[tex]\dfrac{-35x^6}{(-5x^2)}=B[/tex]
Now since both the numerator and denominator have negative sign the value of fraction will be positive.
[tex]\dfrac{35x^6}{(5x^2)}=B[/tex]
Now [tex]5\times 7=35[/tex] and [tex]x^{6-2}=x^4[/tex]
[tex]7x^4=B[/tex]
So, the missing factor [tex]B=7x^4[/tex]
what are the names of three planes that contain Point G
Answer:
Points L, J, and K are collinear.
Step-by-step explanation:
brinlest plz
Answer:
ferns,gymnosperms, and flowering plants are all vascular plants
Step-by-step explanation:
−6x+7x+4x-3x-3y-2x+4x
combine like terms
−6x+7x+4x-3x-3y-2x+4x
−6x+7x+4x-3x-2x-+4x-3y
4x-3y
:)
Which of the following statements is NOT true about the linear equation, y+3=-2(x-7)
Answer:
There is no options this is unclear
Step-by-step explanation:
Answer:
where are the answer choices spongebob?
Step-by-step explanation:
Multiply. Express each product in lowest terms.
1:4/5x 1/
I NEED HELP ILL GIVE BRAINLIEST
There are 260 students in 6th grade at meghan's school if 15% of them play a instrument how many 6th graders at meghan's school play an instrument ?
Answer:
39 people
Step-by-step explanation:
15 percent *260 =
(15:100)*260 =
(15*260):100 =
3900:100 = 39
Plz Award Brainlest
Answer: 17 or 33 student of 6th grade
Step-by-step explanation: that how you do the math
Find the slope of a line perpendicular to each given line.
y = 1/4x - 4
please help asap it’s timed
Need help ASAP! If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
Answer:
X=8
The three lines means that IN and AT are equal so IN must equal 26. 2(8)=16 and 16+10=26
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
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