Answers
Answer:D. 2(3x-5)^2
Step-by-step explanation:
18x^2-60x+50=2(9x^2-30x+25)
Answer:
D. 2(3x - 5)²
Step-by-step explanation:
18x² - 60x + 50
The expression can be factorize as follows;
18x² - 60x + 50
divide through by 2
2(9x² - 30x + 25)
The bracket equation can be factorized further
Find the square value that can be multiplied to get 9x² and 25
The values are 3x and 5
2( (3x- 5)(3x - 5) )
2(3x - 5)²
Related Questions
Find the slope of the line passing through the
points
(-9, 2) and (7,2)
Answers
Answer:
0
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
[tex] \frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0[/tex]
I am joyous to assist you anytime.
What is the answer to this question? Simplify:
Answers
Answer:
19
Step-by-step explanation:
15-(-36/9)
15 + 4
19
Answer:
11
Step-by-step explanation:
36/-9 can be reduced to -4
15--(-4) is the same as 15+(-4) which is the same as 15-4
15-4=11
My math problem is 920÷310 can somebody please help me
Answers
Answer:
2.967741935
Step-by-step explanation:
Flower: Anthony decides to decorate a ballroom with r= 3n + 20 roses, where n is the number of dancers. It occurs to Anthony that the dancers always come in pairs. That is, n=2p, where p is the number of pairs. What is r as a function of p?
Can anyone explain the process of how to answer this problem?
Answers
Answer:
r= 6p + 20
Step-by-step explanation:
given:
r= 3n + 20
also given that n = 2p
substituting n=2p into the above equation
r= 3n + 20
r= 3(2p) + 20
r= 6p + 20
Is my student correct?
Answers
Answer:
Yes
Step-by-step explanation:
There hasn't been a chemical change, rather, just a physical change. All that had happened was a liquid turning into a solid, which doesn't require a change in elements of the liquid itself.
Answer:
YES
Step-by-step explanation:
BECAUSE A CHEMICAL CHANGE STAYS THE SAME AND A PHYSICAL CHANGE CAN GO BACK TO NORMAL
Suppose that the length of a rectangle is 4 times the width. If the area is 900 square feet, then what is the width of the rectangle, in feet?
Answers
Answer:
Width 15 feet
Step-by-step explanation:
Use formula
[tex]A_{rectangle}=\text{Width}\cdot \text{Length}[/tex]
Let x feet be the width of the rectangle.
If the length of a rectangle is 4 times the width of the rectangle, then the length is 4x feet.
The area of the rectangle is 900 square feet, so
[tex]900=x\cdot 4x\\ \\900=4x^2\\ \\x^2=225\ [\text{Divided by 4}]\\ \\x=\pm 15[/tex]
The width cannot be negative, then x=15 feet and 4x=60 feet.
Final answer:
To find the width of the rectangle when the length is 4 times the width and the area is 900 square feet.
Explanation:
To find the width of the rectangle:
Let the width be w feet.
Since the length is 4 times the width, the length is 4w feet.
Given that the area is 900 square feet, we can set up the equation w * 4w = 900 to solve for w.
4w² = 900
w² = 225
w = 15 feet
Therefore, the width of the rectangle is 15 feet.
Which of the following numbers is NOT a Solution of the inequality 6x–5>4x–7?
A)1
B)0
C)-1
D)-2
Answers
Answer:
B
Step-by-step explanation:
The solution to the inequality 6x–5>4x–7 is x > -1. The given numbers that are larger than -1 are 1 and 0, which leaves -1 and -2. From these, -1 is the only given number that is not greater than -1, so it is the number that is not a solution to the inequality.
Explanation:To begin, let's simplify the given inequality, 6x–5>4x–7. Subtract 4x from each side to isolate x terms on one side, obtaining 2x - 5 > -7. Then, add 5 to both sides to isolate the term with x, obtaining the inequity 2x > -2.
Finally, divide by 2 to find x > -1. So any value greater than -1 would be a solution to the inequality.
Reviewing the options:
A) 1 is a solution because it is greater than -1B) 0 is a solution because it is greater than -1C) -1 is not a solution because it is not greater than -1D) -2 is not a solution because it is not greater than -1However, according to the question we need to find the number that is not a solution, so the answer is C) -1.
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There are 52 weeks in one year. If cindy drew three pictures each week, for 2 years, how many pictures did cindy draw?
Answers
Final answer:
Cindy drew a total of 312 pictures over two years, calculating from three pictures per week for 52 weeks each year, then doubling the result for the two years.
Explanation:
To calculate the total number of pictures Cindy drew over two years, we start by determining the number of pictures she draws each week.
Since Cindy draws three pictures each week, we multiply that number by the number of weeks in one year.
There are 52 weeks in one year.
So, the number of pictures Cindy draws in one year is:
3 pictures/week × 52 weeks/year = 156 pictures/yearSince the question is about a two-year period, we multiply the annual amount of pictures by two:
156 pictures/year × 2 years = 312 picturesTherefore, Cindy drew a total of 312 pictures over two years.
What is x minus 1???
Answers
Answer:
N/A
p-by-step explanation:
x minus 1 is already a simplified expression (can only be solved if you know x)
Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT? Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ
Answers
Answer:
m∠QRT = 90°
m∠QRT = m∠SRT
Step-by-step explanation:
Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.
RT is angle T bisector, so angles QTR and STR are congruent.
Consider two triangles QTR and STR. In these triangles:
TR ≅ TR (reflexive property); ∠QTR ≅ ∠STR (given);QT ≅ ST (given).By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so
QR ≅ SR ∠QRT ≅ ∠SRTAngles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to [tex]\frac{1}{2}\cdot 180^{\circ}=90^{\circ}[/tex]
So, true options are
m∠QRT = 90°
m∠QRT = m∠SRT
Answer:
The correct options are;
m[tex]\angle[/tex]QRT [tex]=90^o[/tex]
m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT
Step-by-step explanation:
Given information;
The triangle QST is isosceles with QT ≅ ST.
The angle STR ans RTQ are congruent.
Now, consider two triangles QTR and STR
In the following triangle
1. TR ≅ TR (having reflective property)
2. [tex]\angle[/tex]QTR ≅ [tex]\angle[/tex]STR (as given in question)
3. QT ≅ ST (as given in information)
Now, according to SAS postulate , two congruent triangle have congruent corresponding to their sides ,
Hence ,
1. QR ≅ SR
2. [tex]\angle[/tex]QRT ≅ [tex]\angle[/tex]SRT
Since, this above two angles are congruent they will have same measure
That will be
[tex]=(180/2)\\=90 ^o[/tex]
Hence, The correct options are;
m[tex]\angle[/tex]QRT [tex]=90^o[/tex]
m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT
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P=3L-3W solve for L (literal equation)
Answers
P=3L-3W
Move -3W to the other side. Sign changes to +3W
P+3W=3L-3W+3W
P+3W=3L
Divide both sides by 3 to get L by itself
P/3+3W/3=3L/3
Cross out 3 and 3, divide by 3 and then becomes 1*1*W=W
Cross out 3 and 3, divide by 3 and then becomes 1*1*L=L
P/3+W=L
Answer:
L=P/3+W
−64=6(5n−3)+2(n−7)-64=6(5n-3)+2(n-7)
Answers
Answer:
no solution
Step-by-step explanation:
30n-18+2n-14-64=30n-18+2n-14
32n-96=32n-32
-96=-32<-----false statement, therfore it is no solution
What is the procedure for solving the equation 1/2x = 16?
a) add 1/2 to both sides of the equation
b) subtract 1/2 from both sides of the equation
c) multiply both sides of the equation by 2
d) multiply both sides of the equation by 1/2
Answers
C. Multiply both sides of the equation by 2
I hope that this helps you!
The U.S. is 3.794 million square miles. Approximately 650,000 square miles are worked for food production. What percent of the U.S. is worked for food production?
Answers
Final answer:
Approximately 17.12% of the U.S. is worked for food production.
Explanation:
The U.S. is 3.794 million square miles in total. Approximately 650,000 square miles are worked for food production. To find out the percent of the U.S. that is worked for food production, divide the area worked for food production by the total area of the U.S. and then multiply by 100.
Percentage = (Area worked for food production / Total area of the U.S.) x 100
Percentage = (650,000 / 3,794,000) x 100 = 17.12%
What is 2/28=7/8 cross multiplied
Answers
Answer:
see the explanation
Step-by-step explanation:
we have
[tex]\frac{2}{28}=\frac{7}{8}[/tex]
we know that
To cross multiply, start by multiplying the numerator of the left-hand fraction by the denominator of the right-hand fraction.
2(8)
Then, multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
7(28)
Next, set the 2 products equal to each other.
2(8)=7(28)
In a lab, a substance was cooled by 36°C over a period of 9 hours at a constant rate. What was the change in temperature each hour?
Answers
The substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.
In this lab scenario, we are given that a substance was cooled by 36°C over a period of 9 hours at a constant rate. Let's denote the change in temperature as ΔT (Delta T) and the time interval as Δt (Delta t) in hours.
To find the change in temperature each hour, we can use the formula for the rate of change of temperature:
ΔT/Δt = Rate of change of temperature
Given that the total change in temperature (ΔT) is 36°C and the total time period (Δt) is 9 hours, we can now plug these values into the formula:
ΔT/Δt = 36°C / 9 hours
Simplifying this, we get:
ΔT/Δt = 4°C/hour
So, the change in temperature each hour, represented as ΔT/Δt, is 4°C. This means that the substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.
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If f(x) = х2 – 2x and g(x) = 6х +4, for which vаluе оf x does (f + g)(x) = 0?
Answers
Answer:
x = - 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4
Equating to zero, that is
x² + 4x + 4 = 0 ← left side is a perfect square
(x + 2)² = 0, thus
x + 2 = 0 ⇒ x = - 2
Answer:
[tex]\boxed{\text{x = -2}}[/tex]
Step-by-step explanation:
ƒ(x) = x² - 2x
g(x) = 6x + 4
(f + g)(x) = x² - 2x + 6x + 4 = x² + 4x + 4
[tex]\begin{array}{rcr}x^{2} + 4x + 4 & = & 0\\(x + 2)^{2} & = & 0\\x+2 & = & 0\\x & = & \mathbf{-2}\\\end{array}[/tex]
[tex](f + g)(x) = 0 \text{ when } \boxed{\textbf{x = -2}}[/tex]
Check:
[tex]\begin{array}{rcl}(-2)^{2} + 4(-2) + 4 & = & 0\\4 - 8 + 4 & = & 0\\0 & = & 0\\\end{array}[/tex]
OK.
2. On a recent field trip, students paid $15 for
each ticket. If $675 is the total cost, how many
tickets were purchased?
a. Write an equation:
b. What is the constant of proportionality?
Answers
Answer:
See below.
Step-by-step explanation:
Cost of tickets = number of tickets * cost of 1 ticket
The number of tickets purchased was 675/15 = 45.
a. C = 15n .
b. Constant of proportionality is 15.
Answer: $675 + $15 =
Step-by-step explanation:
first add the 5 and 5 together drop the zero carry the one then add 1 and 7 plus 1 which is 9 then add 6 plus zero and ur answer should be 690
How can you solve for x in the proportion 7/8 = x/24?
Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.
Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.
Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Answers
Answer:
The answer is D
Step-by-step explanation:
How are absolute values used to describe quantities ?
Answers
Answer:
Absolute value is a number's distance from 0, so when comparing quantities, such as positive and negative, the greater absolute value is of that number.
For ex:
|-11| > |6| , because |-11| = 11, |6| = 6, and 11 > 6.
So, |-11| > |6|
Absolute values are used to describe the distance of any values from the point 0. Hence, absolute values are used to express the positive value a quantity.
Quantities may be positive or negative depending on their relative position from Zero.
Positive values are to the right of Zero; While negative values are to the left of Zero.
Since quantities maintain equal distance either to the left or right of Zero; Absolute values are only concerned with the magnitude of a quantity from Zero and not the direction.
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7 3/4% as a fraction in simplest form
Answers
this probably isn't right but this is what the internet says 31/400
To convert 7 3/4% to a fraction in simplest form, add the whole number and the fractional part together, find a common denominator, and simplify if necessary.
Explanation:To convert 7 3/4% to a fraction in simplest form, we first need to convert the mixed number to an improper fraction. The whole number part, 7, can be written as 7/1. Adding the fractional part, we have (7/1) + (3/4). To add fractions, we need a common denominator, which in this case is 4. So, we rewrite the fractions as (28/4) + (3/4). Adding the numerators, we get 31/4. Since we want the fraction in simplest form, we can simplify 31/4 by dividing both the numerator and the denominator by their greatest common factor, which is 1. Therefore, 7 3/4% as a fraction in simplest form is 31/4.
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estimate the square root of 27 over 4 to the nearest 10th
Answers
Answer:
1.3
Step-by-step explanation:
A function has a maximum value of 12.375 and x-intercepts of 0.41 and 1.84
Answers
Answer:
Step-by-step explanation:
X=1.125 hope this helps!
PLEASE HELP!
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6). Find the equations of the three medians of triangle ABC
Answers
Answer:
y= -7/6x+6
y= -1/2x+8
x = -3
Step-by-step explanation:
Find the slope of the lines of the triangle. Then you can find the perpendicular slope of that (the slope of the altitudes) by inversing it and switching the = or - sign. Then you have a point the altitude goes through (one of the vertices) and the slope. Then you can make the equation.
Preserve
What is this 3 digit number
Answers
The glasses that Pierre wants to buy cost $230. If he waits for them to go on sale next week, he can get a 15% discount. How much will he save if he waits?
How much will the glasses cost if he waits?
Answers
Answer:
$34.50 saved
Step-by-step explanation:
230 - 15% = $195.5
230 - 195.5 = 34.5 saved
Solve a Mixture Word Problem
Question
Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a
pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how
many pounds of cereal squares should he use?
Provide your answer below:
lb cereal squares,
Ib nuts
B FEEDBACK
MORE INSTRUCTION
SUBMIT
Content attribution
Answers
Answer: Orlando mixed five pounds of cereal squares and 25 pounds of nuts.
Answer:
5 lbs cereal squares.
25 Ibs nuts.
Step-by-step explanation:
Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.
Total weight of the party mix is 30 pounds.
[tex]x+y=30[/tex] ..... (1)
It is given that,
Cost of nuts = $7 per pound
Cost of cereal = $4 per pound
The cost of mix = $6.50 per pound.
[tex]7x+4y=6.50\times 30[/tex]
[tex]7x+4y=195[/tex] ..... (2)
Substitute the value of x in equation (2) from equation (1).
[tex]7(30-y)+4y=195[/tex]
[tex]210-7y+4y=195[/tex]
[tex]-3y=195-210[/tex]
[tex]-3y=-15[/tex]
Divide both sides by -3.
[tex]y=5[/tex]
Substitute y=5 in equation (1).
[tex]x+5=30[/tex]
Subtract both sides by 5.
[tex]x=30-5[/tex]
[tex]x=25[/tex]
Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.
Solve the equation 5x + 7y = 35 for y.
Answers
Answer:
B. [tex]y= 5 - \frac{5}{7} x[/tex]
Step-by-step explanation:
okay, so you are trying to get y alone on one side. The first thing you want to do is try to get 7y alone on one side. You do that my subtracting 5x on both sides. You get 7y = 5x +35
Then you divide 7 on both sides and get y = -5/7x + 5
The equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.
The correct option is B.
To solve the equation 5x + 7y = 35 for y, we need to isolate y on one side of the equation.
Let's begin by subtracting 5x from both sides:
5x + 7y - 5x = 35 - 5x
The 5x terms cancel out on the left side, leaving us with:
7y = 35 - 5x
Now, to isolate y, we divide both sides of the equation by 7:
(7y) / 7 = (35 - 5x) / 7
Simplifying further, we have:
y = (35 - 5x) / 7
Therefore, the equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.
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Is this the right answer?
Answers
Answer:
It would be -22, not 22%. She is $22 in debt, which is why it is negative.
a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?
Answers
Answer:
The ratio between won and lost is [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
The question in English is
A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?
Let
x ------> the number of games won
y -----> the number of games lost
we have
[tex]x=21\ games[/tex]
[tex]y=12\ games[/tex]
we know that
To find the ratio divide the number of games won by the number of games lost
so
[tex]\frac{x}{y}[/tex]
substitute the values
[tex]\frac{21}{12}[/tex]
Simplify
[tex]\frac{7}{4}[/tex]