Answer: Choice A. [tex](5\text{x}^2+2)(3\text{x}-1)[/tex]
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Work Shown:
[tex]15\text{x}^3-5\text{x}^2+6\text{x}-2\\\\(15\text{x}^3-5\text{x}^2)+(6\text{x}-2)\\\\5\text{x}^2(3\text{x}-1)+2(3\text{x}-1)\\\\(5\text{x}^2+2)(3\text{x}-1)\\\\[/tex]
Explanation:
The idea is to pair up the terms into two groups. Factor each group separately. Then we pull out the overall GCF (3x-1) to finish up the factorization. You can use the FOIL rule to expand out the answer to get the original expression again, which helps confirm the answer.
In 1924, the temperature in St. Louis, Missouri, dropped from 53 degrees to −11 degrees in 8 hours. What was the average hourly change in temperature?
(pls this is for a test rn)
Answer: -8°
Step-by-step explanation: the temperature dropped by 64 degrees over the span of 8 hours. 64/8 = 8.
2 is subtracted from twice a number.
early beginner in geometry
Answer:
2x-2 (x is your number)
Step-by-step explanation:
Not sure if this is what you mean lol
:]
In a right triangle ABC, < B = 90°. If AC=13cm, BC= 5cm, find AB
Answer:
AB = 12cm
Step-by-step explanation:
ABC is the right triangle, that means we can use theorem: AC²=AB²+BC²
AB²=AC²-BC²=13²-5²=169-25= 144
AB=√144
AB=12cm
7x - 7; x = 4................
Answer:
21
Step-by-step explanation:
7x - 7
=> substituting x = 4
=> 7(4) - 7
=> 28 - 7
=> 21
don’t know what to do
A power function has the formula f(x) = kxⁿ,
A power function is a function that has a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real value. (A coefficient is a value that increases an exponent by a variable.)
A power function has the formula f(x) = kxⁿ, where k and n are both real numbers. You can change the appearance of a power function's graph by changing the values of k and n. As a result, in this graph, n is greater than zero.The Power function produces an integer that has been raised to a particular power. Power is an alternative for the exponent operator in a mathematical equation (^). The Power function only takes two arguments: number and power. Number must be a numeric value that is either a hardcoded constant or a cell reference.Monomial functions:
Linear: y=3x+5
Quadratic: y = x²
Constant: y = 6
Cubic: y = x³+5
Quartic : y = x⁴
Quantic : y = x⁵
Therefore the function with a power function is given by y = k xⁿ
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Given three points of a quadratic function, find the equation of the function: (-1, -3), (0, -4), (2, 6)
A) f(x)=2x^2+2x−4f
B) f(x)=x^2+2x−4f
C) f(x)=x^2+x−4f
D) f(x)=2x^2+x−4f
The quadratic function has an equation of f(x) = 2x²+ x - 4
How to determine the equation of the functionFrom the question, the ordered pairs are given as
(-1, -3), (0, -4), (2, 6)
A quadratic function is represented as
f(x) = ax²+ bx + c
Using the point (0, -4), we have
a(0)²+ b(0) + c = -4
So, we have
c = -4
This gives
f(x) = ax²+ bx - 4
Using the point (-1, -3), we have
a(-1)²+ b(-1) - 4 = -3
So, we have
a - b = 1
Using the point (2, 6), we have
a(2)²+ b(2) - 4 = 6
So, we have
4a+ 2b = 10
So, we have
a - b = 1
This gives
a = b + 1
Substitute a= b + 1 in 4a+ 2b = 10
4(b + 1) + 2b = 10
This gives
4b + 4 + 2b = 10
Evaluate
6b = 6
Divide
b = 1
So, we have
a = 1 + 1
a = 2
So, we have
f(x) = 2x²+ x - 4
Hence, the equation is f(x) = 2x²+ x - 4
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Fill in the blanks with the correct angle measure.
For example:
Measure of angle 1 = 110 degrees. You only need to type 110.
Answer:
1:110
2:70
3:110
4:70
5:110
6:70
7:110
8;70
Step-by-step explanation:
lol i think its pretty simple
a=3p+1
Solve for p
please help me solve this
Answer:
Step-by-step explanation:
p= a/3 - 1/3
5 1/2 ÷3 3/8
hey umi, need it
because i have school in 26 well Thursday and it is a assignment and it is due today
Answer:
1 - 1.5
2 - 3.9375
3 - 3
4 - 1.62962963
5 - 2.83333
6 - 4.05555556
7 - 8
8 - 1.555555556
9 - 6.4
10 - 6
11 - 1.5
12 - 18
Translate the sentence into an equation or formula.
25 less than the cube of x is equal to four times the sum of y and five
Answer:
x + y y added to 7. 7+ y. The sum of a and b a + b m more than n n + m ... y. 5 or y ÷ 5. The ratio of u to v u v or u ÷ v u separated into 4 equal parts.
Step-by-step explanation im just guessing so if its incorrect sorry:(
Which statement represents the simplified form of the given equation and correctly describes the solution? A. 6 ≠ 3; no real solution B. x = 6; exactly one real solution C. 6 = 6; infinite real solutions D. x = 1; exactly one real solution
Answer:infinite solution
Step-by-step explanation:
Simplify this expression: 7 + 9x2-5= A. 27 B. 20 C.-48 D. 19 HELP ASAP
Answer:
the answer to the problem is A 27
Step-by-step explanation:
HELPPPPPP!!!!! PLEASEEEEE FAST!!!!!!!
Given the function f(x)=2.5xsquared+3, find the average rate of change over the interval 0 ≤ x ≤ 4. What does the average rate of change tell you about the function?
The average rate of change over the interval is 10 and it tells us about the slope
How to determine the average rate of changeThe definition of the function is given as
f(x) = 2.5xsquared + 3
Rewrite the function properly
So, we have the following equation
f(x) = 2.5x² + 3
The interval to calculate the average rate of change is given a
0 ≤ x ≤ 4
This can be represented as
[0, 4]
Further, rewrite as
[a, b] = [0, 4]
Where a = 0 and b = 4
Calculate f(a) and f(b)
So, we have
f(0) = 2.5(0)² + 3 = 3
f(4) = 2.5(4)² + 3 = 43
The average rate of change is then calculated as
Average rate = [f(b) - f(a)]/[b - a]
Substitute the known values in the above equation
So, we have
Average rate = [43 - 3]/[4 - 0]
Evaluate
Average rate = 10
What the average rate tells usThe average rate is the slope of the function
This means that it represents the amount of change in the function with respect to the change in the input variables
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
7b + 6
Step-by-step explanation:
Given expression,
→ 5b + 10 + 2b - 4
Let's solve the expression,
→ 5b + 10 + 2b - 4
→ (5b + 2b) + (10 - 4)
→ 7b + 6
Hence, answer is 7b + 6.
3) Each volume of an encyclopedia has two covers, each 1/4-inch thick, and 300 pages of text that are 2-inthick. The books are arranged in order on a shelf. How far does a bookworm travel who burrows his way from the first page of Volume I to the last page of Volume III?
Answer:
7 inches
Step-by-step explanation:
Volume 1 - 300 pages 2 inches
back cover 1/4 inch
Volume 2 - front cover 1/4 inch
300 pages 2 inches
back cover 1/4 inch
Volume 3 - front cover 1/4 inch
300 pages 2 inches
What is a hour and how manyyyy
Answer:
An hour is a unit of time.
Step-by-step explanation:
An hour is a period of 60 minutes.
1 hour = 60 minutes.
Answer:
an hour is the si unit of time
1 hour = 60 minutes
1 minutes = 60 seconds
pls mark as brainliest
Step-by-step explanation:
Cuanto es 3/8+-3/4
………..
A model of a famous statue is 3 1/2 inches tall. The actual statue is 5 1/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?
A model of a famous statue is [tex]3\frac{1}{2}[/tex]inches tall. The actual statue is [tex]5\frac{1}{4}[/tex] feet tall, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]3\frac{1}{2}[/tex]:63
What is a ratio mean?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of the lemons to oranges is 6:8 (or 3:4). (or 4:7).
A ratio can have any number of quantities, such as counts of people or things or measurements of the length, weight, time, etc. Both the numbers must be positive in most situations.
You can specify a ratio by either writing out both of the integers that make it up, "a to b" or "a:b", or by giving just the value of their quotient a/b. Equal quotients correspond to the equal ratios.
A ratio can therefore be thought of as an ordered pair of integers, a fraction with first number in the numerator and the second in the denominator, or as the value represented by this fraction. Ratios of the counts that are expressed in terms of (non-zero) natural numbers are rational numbers and occasionally natural numbers as well. The ratio of the two numbers is a dimensionless number when they are measured using the same unit, which happens frequently. A rate is product of two quantities that are divided by their respective units of measurement.
Given,
A model of a famous statue is [tex]3\frac{1}{2}[/tex] inches tall.
The actual statue is [tex]5\frac{1}{4}[/tex] feet tall
1 feet = 12 inches
21/4 ft = 12*21/4 inches = 63 inches
Therefore the ratio is
[tex]3\frac{1}{2}[/tex]:63
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How many permutations can be formed from all of the letters of the word houston?.
The word "Houston" can have a maximum of 2520 permutations using all it's letters.
As per the question statement, we are provided with a word: HOUSTON.
And we are required to calculate the total number of permutations that can be formed using all the letters of it.
To solve this question, first we will need to determine the number of letters in our concerned word, which in this case is 7, and then number of repeated letters, which is 2, since the letter "O" is repeated once.
Therefore, the total number of permutations that can be formed using all the letters of the word HOUSTON = [(7!)/(2!)]
= (7 * 6 * 5 * 4 * 3)
= 2520
Permutation: In Mathematics, a permutation is a technique to determines the number of possible arrangements of the elements in a set, in a definite order.To learn more about Permutations, click on the link below.
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Willie bought one package of basil for $3.
How many packages of basil can Julia buy
if she has $6?
santi and vlado drove together from new york to new orleans. both drove the same amount of time, but santi drove 75% as quickly as vlado. if the drive took a total of 24 hours and new orleans is 1,304 miles from new york, approximately how many miles did santi drive?
If both Santi and Vlado drove for the same amount of time with Santi driving at 75% of Vlado's average speed, and they covered 1304 miles in 24 hours, then Santi had driven for approximately 559 miles.
As per the question statement, Santi and Vlado drove together from New York to New Orleans. Both of them drove for the same amount of time with Santi driving 75% as quickly as Vlado, and it took them 24 hours to complete the 1304 miles journey.
We are required to calculate the approximate number of miles, that Santi drove during their trip.
Since given that, Both of them drove for the same amount of time and it took them 24 hours to complete the 1304 miles journey, therefore, both Santi and Vlado drove for (24/2) = 12 hours each.
Now, let us consider that Vlado drove at an average speed of "v" miles/hour.
Then, Santi would have driven at a average speed of [(75/100)v] m/h
= (0.75v) m/h
= 0.75V miles/hour
[Since Santi drove 75% as quickly as Vlado]
Now as we know that, [(speed * time) = distance], applying the same formula to the velocities and driving times of Santi and Vlado, we get,
[{(12 * v) + (12 * 0.75v)} = 1304]
Or, [(12v + 9v) = 1304]
Or,(21v = 1304)
Or, v = [(1304/21)]
Or, (v = 62.095 miles/hour)
Or, (v ≈ 62.1 miles/hour)
That is, Vlado drove at an average speed of 62.1 miles per hour,
And, Santi drove at an average speed of (62.1 * 0.75) miles per hour
= (46.575) miles per hour.
Therefore, Santi drove a total of (46.575 * 12) = 558.9 miles ≈ 559 miles,
as he drove at an average speed of 46.575 miles per hour, for 12 hours.
Average Speed: In Mathematics as well as physics, the average speed of any travelling object is the total distance traveled by the object in a particular time interval. It is a scalar quantity, represented by the magnitude and does not have direction.To learn more about Average Speeds, click on the link below.
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(last question) but does anyone know the answer (s)??!?!
Answer:
MN = 3
Step-by-step explanation:
MN = 3
Similar triangles :)
1,1.8,3
2,3.6,6
Triangle AMN is half the size of triangle ABC :)
hope this helps
:]
Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
Camryn practiced both the trumpet and the flute today.
How many days until Camryn practices the trumpet and flute again in the same day
The greatest number of identical packages that Shaquira can make is 2.
Given data:
Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
To find:
The greatest number of identical packages that Shaquira can make
In order to find the greatest number of packages, we find the HCF of 86 and 42.
Write down this part from the attached image.
Here, 86 = 1 × 2 × 43, 42 = 1 × 2 × 21
Thus HCF = 1 × 2 = 2
So, Shaquira can make 2 identical packages the most.
Each package will have
(86 ÷ 2) = 43 chocolate chips and
(42 ÷ 2) = 21 sugar cookies.
For questions like these you would need to find out the Least Common Multiple, or L.C.M
If Camryn plays the trumpet and the flute today, and they both are in intervals of 11 and 3 days, you would need to find the LCM for 11 and 3.
LCM:
11 = 11, 1
3 = 3, 1
As they both have no common factors, and are prime numbers, multiply 11 x 3 = 33.
So, the least amount of days required for the trumpet and the flute to be played together is 33 days. And the interval between practising them both on the same day is 33 days.
Hence, the number of days until Camryn practices the trumpet and the flute on the same day is 33 days.
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Which of the following is equivalent to 2.68?
2.68%
two and seventeen twenty fifths
twenty five seventeenths
26.8%
The expression that is equivalent to the number 2.68 is (b) two and seventeen twenty fifths
How to determine the equivalent number/expression?From the question, we have the following parameters that can be used in our computation:
Number = 2.68
Expand the number using the addition operator
So, we have the following representation
Number = 2 + 0.68
Express 0.68 as a fraction
This gives
Number = 2 + 68/100
Simplify the fraction
So, we have the following representation
Number = 2 + 17/25
This implies that
Number = two and seventeen twenty fifths
Hence, the equivalent of 2.68 is (b) two and seventeen twenty fifths
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i need help ASAP show your work
Answer:
a=5
Step-by-step explanation:
1/3(6a-15)=(a-2)+2
1/3(6a-15)=a
6a-15=3a
3a=15
a=5
:]
Step-by-step explanation:
1.multiply in first bracket
[tex]2a - 5 = a + 0[/tex]
2.Take unknowns to left and constants to the right
[tex]2a - a = 5[/tex]
3.solve for a
[tex]a = 5[/tex]
WILL GIVE BRAINLEIST
Which steps show how to use distributive property to evaluate 5 x 38
Answer:
The answer is most definitely A. It is the only answer that reaches the correct value of 190, which is what 5 * 38 equals. However, to put it into perspective...
Step-by-step explanation:
When we use the distributive property we are breaking down something sometimes, and in this case, very simple into a more extended form.
5 * 38 is the same as saying 5(40 - 2). We also know that if we subtract the sum of 5 * 2 from 5 * 40, it will end up the same as 5 * 38 because you are multiplying 5 two times less.
5 * 40 = 200
5 * 2 = 10
200 - 10 = 190
The answer is A
;)
Gas mileage is the number of miles you can drive on a a gallon of gasoline. A test of a new car results in 525 miles on 25 gallons of gas. How far could you drive on 40 gallons of gas? What is the car's gas mileage?
40 gallons
[tex]\frac{525}{25} \times 40=840[/tex] miles
Gas Mileage
[tex]\frac{525}{25}=21[/tex] miles per gallon
ANSWER QUICK I WILL GIVE BRAINLIEST
Solve k over negative 1.8 is less than negative 4.9 for k.
k < −8.82
k > 8.82
k < −6.7
k > −6.7
The solution of the inequality is k > 8.82
How to solve inequality?The expression is in words so we have to convert it to an inequality to be able to solve for k.
An inequality is an expression that has the following symbols: <, >, ≤ and ≥.
Therefore, the inequality can be solved as follows:
k / - 1.8 < - 4.9
Therefore, let's solve for the variable k.
k / - 1.8 < - 4.9
multiply both sides of the inequality by - 1.8
Hence,
k / - 1.8 (-1.8) < - 4.9 (-1.8)
k / 1 > 8.82
Note the sign had to change after we multiply both side of the inequality with a negative number.
Therefore,
k > 8.82
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Please help me!!!!!!!!!
Answer:
m∠TQS = 137°
m∠RQS = 43°
Step-by-step explanation:
It is given that ∠RQT is a straight angle
That means that this angle is 180° and RQT is a straight line
Therefore m∠TQS + m∠RQS = m∠RQT = 180°
Given
m∠TQS = (6x + 20)° and m∠RQS = (2x + 40)°
adding the two angles together will imply
(6x + 20)° + (2x + 40)° = 180°
=> 6x + 20 + 2x + 4 = 180
=> 6x + 2x + 20 + 4 = 180
=> 8x + 24 = 180
=> 8x = 180 - 24= 156
=> x = 156/8 = 19.5
Substitute for x in the angle expressions
m∠TQS = 6x + 20 = 6(19.5) + 20 = 117 + 20 = 137°
m∠RQS 2x + 4 = 2(19.5) + 4 = 39 + 4 = 43°
(or we could subtract m∠TQS from 180 to get 180 - 137 = 43°)
Check if they add up to 180°
137° + 43° is indeed 180°
the number of students in the school went from 1028 down to 755 what is the percent decrease?
Step-by-step explanation:
100% = 1028
1% = 100%/100 = 1028/100 = 10.28
the decrease was
1028 - 755 = 273
these 273 were how many % ?
as many % as how often 1% fits into 273 :
273 / 10.28 = 26.55642023... %
this was a 26.55642023...% decrease.