Answer:
(2x+3)(x-7)
Step-by-step explanation:
2x^2+3x-14x-21
2x(x-7)+3(x-7)
The factors of the expression are (2x+3)(x-7).
What is factorization?Factorization is the breaking or decomposition of an entity (a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.
For the given situation,
The expression is [tex]2x^{2} -11x-21[/tex]
The complete factorization of the expression is as,
⇒ [tex]2x^{2} -11x-21=0[/tex]
⇒ [tex]2x^{2} -14x+3x-21=0[/tex]
⇒ [tex]2x(x-7)+3(x-7)=0[/tex]
⇒ [tex](2x+3)(x-7)=0[/tex]
The value of x can be found as
⇒ [tex]2x+3 = 0[/tex] or [tex]x-7 = 0[/tex]
⇒ [tex]x=\frac{-3}{2}[/tex] or [tex]x=7[/tex]
Then -3/2 and 7 are the zeroes of the expression.
Hence we can conclude that the complete factorization of the expression are (2x+3)(x-7).
Learn more about factorization here
https://brainly.com/question/22048687
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HELP!
What is the determinant of [-4 3, -7 6]?
a. -24
b.-3
c. 3
d.45
Answer:
-3
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
Which ratio represents the number of orders for pepperoni pizza to cheese pizza?4:5 5:4 StartFraction 10 Over 8 EndFraction StartFraction 18 Over 10 EndFraction
Answer:
well cheese is better ;)
Step-by-step explanation:
Need help on this please
please help ill mark brainliest
Answer:
x=11.31
Step-by-step explanation:
Pythagorean theorem
12^2-4^2=x^2
144-16=x^2
x=11.31
If 2.5 kg of tomatoes cost $8.25, how much will you pay for 7 kg?
Answer:
$2.10
Step-by-step explanation:
first we want to find for one kg. one kg is $0.30.
Multiply that by 7 and you get $2.10
Answer:
$23.10
Step-by-step explanation:
8.25 ÷ 2.5 = 3.3
7 x 3.3 = 23.10
you have to find out how much money you pay per kg
you pay $3.30 per kg
therefore you have to multiply the kg (7) by the price (3.30) and that's why you get $23.10
hope this helps :)
The graph of a function f is shown below.
Find one value of x for which f(x) = -4 and find f (2).
helppp pleaseeee
uh yo how do i make histogram
Answer:
u can use desmos to help u.
Step-by-step explanation:
Ursula bougth dozen rollz of the first aid tape for the health office the rollz were divided equally into 4 boxes how many rolls are in each box
https://homework.russianschool.com/resource?key=54457jiywiyhw
Answer:
120
Step-by-step explanation:
Eliminate the parameter in the equations x =t Superscript one-half and y = t – 4. How can the rectangular equation be described? cubic linear quartic quadratic
ANSWER: A
A function assigns values. The rectangular equation can be described as cubic.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the function of x and y is given, therefore, if we eliminate t from both the function we will get,
[tex]x=t^{\frac12}\\\\x=\sqrt t\\\\x^2=t[/tex]
Now, substitute the value of t in the function of y,
[tex]y= t-4\\y=x^2-4[/tex]
Further, the rectangular equation can be written as,
[tex]\text{Rectangular Equation} = x \times y[/tex]
[tex]= x \times (x^2-4)\\\\= x^3-4x[/tex]
Thus, the rectangular equation can be described as cubic.
Learn more about Function:
https://brainly.com/question/5245372
Answer: a.) cubic
Step-by-step explanation:
PLEASE HELP M IN THE MIDDLE OF A TEST
A rock is thrown upward with a velocity of 12 meters per second from the top of a 25 meter high cliff, and it misses the cliff on the way back down. When will the rock be 3 meters from ground level? Round your answer to two decimal places.
Answer:
find t when
25 + 12t - 5t^2 = 3
using g=10 (easier than using 9.81)
Write an equation for 15 is 15% of what number? Use x for your variable
Reading through the problem, we have "15 is",
that's "15 =", 15%, 15/100, "of", times, "what number", x.
So our equation reads 15 = 15/100 · x.
Worth 20 points
Please answer these all in a fraction form! :) <3 ily all have a AMAZING day.
1. 1/8 ÷ 3/4 = ?
2. 3/5 ÷ 3/2 = ?
3. 4/1 ÷ 2/3 = ?
4.9/4 ÷ 6/5 = ?
5.22/4 ÷ 2/5 = ?
Answer:
1. 1/8 ÷ 3/4 = 1/6
2. 3/5 ÷ 3/2 = 2/5
3. 4/1 ÷ 2/3 = 6
4.9/4 ÷ 6/5 = 15/8
5.22/4 ÷ 2/5 = 261/80
Step-by-step explanation:
Hope this Helped
(3/4 - 1/5) ÷ (5/2 - 1/3) xfa ayuda con procedimiento rapido
Answer:
33/130
Step-by-step explanation:
3/4 - 1/5 = 11/20
5/2 - 1/3 = 2 and 1/6
11/20 divided by 13/6 = 33/130
4. Which of these types of angles have the same measure
after being rotated, reflected, or translated in a coordinate
plane? Select all that apply.
a. Acute angles
b. Right angles
c.Obtuse angles
Find the GCF of each set of numbers.
21, 30
Answer:
3
Step-by-step explanation:
3x7=21
3x10=30
If /Il m, what is the value of x?
Answer:
x= 137 hope it helps have a nice day
Answer:
137
Step-by-step explanation:
180-43 (these two angles plug into all the angles)
How do you plot 74.7284 on a base-10 number line?
Step-by-step explanation:
About between of 70 and 80.
I need help ASAP!!!!
Answer:
r=5
Step-by-step explanation:
25^3 = 15626
-5^3 = -125
5^3 = 125
15^3 = 3375
Answer:
R=5
Step-by-step explanation:
You first have to find the cube root
The cube root of 125 is 5
r=5
Find the pattern and use it to list the next two terms in the sequence.
-3,6,-28,72,-360,2160, ___ ,___
Answer:
Step-by-step explanation:
a₁ = -3 = (-1)¹×3
a₂ = 6 = (-1)²×2×3
a₃ = -28 = (-1)³×2²×7
a₄ = 72 = (-1)⁴×2³×3²
a₅ = -360 = (-1)⁵×2³×3²×5
a₆ = 2160 = (-1)⁶×2⁴×3³×5
That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.
The local diner employs three servers, Ally, Benny, and Charli. On Monday night Ally served 40% of the customers, while Benny served 27%. What percent did Charli serve?
That night 60% of Ally's customers ordered pie, while 40% did not. Of Benny's customers, 20% ordered pie. What percent did not?
Find the probability that a customer ordered pie on Monday night.
Given that a customer ordered pie that night, what is the probability that their server was Ally? Round to the nearest whole percent.
Answer: See explanation
Step-by-step explanation:
Ally served 40% of the customers
Benny served 27%
Percentage served by Charli will be:
= 100% - (40% + 27%)
= 100% - 67%
= 33%
That night 60% of Ally's customers ordered pie, while 40% did not. Of Benny's customers, 20% ordered pie.
The percent that did not will be:
= 100% - 20%
= 80%
Hazel bought some donuts for $2.15 each. She also bought a drink for $3.12. She spent a total of $11.72. Write an equation to find how many donuts Hazel bought
Answer:
she had 4 donuts!
Step-by-step explanation:
her total was $11.72 minus the drink so $8.60 and divided by the cost of donuts $2.15 you get 4.
Answer:
(11.72 - 3.12) ÷ 2.15 = 4
Step-by-step explanation:
You can double check by doing (2.15 x 4) + 3.12 = 11.72
Lindsey plans on visiting her friend two states over. The distance to her friend is 1188 miles. If she leaves on Friday and drives 7 hours at a time at 60 mph, how many days will she travel? (Round your answer to whole days
Answer:
Do you mean 7 hours a day? If so:
7*60=420
1188/420=2.82ish which rounds to 3 days.
Step-by-step explanation:
Who can help me with this ?
Answer:
Growth
Step-by-step explanation:
Since the the consistent exponent 5/2 is greater than 1 it will grow
1/3(4 + 18)-2²
PLIS I need help :(
Answer:
10/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
1/3(4 + 18) - 2²
Step 2: Evaluate
(Parenthesis) Add: 1/3(22) - 2²Exponents: 1/3(22) - 4Multiply: 22/3 - 4Subtract: 10/3Heres the picture, thank you!
Answer:
x = 6√(2)x = 6√(2)y = 6√(2)Step-by-step explanation:
Sides equal opposite to equal angles are always equal -----------<1>If one angle of triangle is 90°, then it is a right triangle, can find sides with the help of Pythagoras Theorem. -----------<2>The sum of all three sides of any triangle is 180°. -----------<3>→ Given angles of triangle = 45° + 45° + 90° {from <3>}
→ x = y {because of <1>}
→ H² = P² + B² (Pythagoras Theorem) {from <2>}
→ (12)² = x² + y²
→ 144 = x² + x² [x = y]
→ 144 = 2x²
→ 144/2 = x²
→ 72 = x²
→ √(72) = x
→ 6√2 = x
→ x = y
so,
x = 6√2 = y
x = 6√(2)y = 6√(2)HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
Ayşe'nin boyu Selin'in boyunun iki katından 0,3 m
fazladır.
Selin'in boyu 0,66 m olduğuna göre Ayşe'nin
boyu kaç m'dir?
A) 1.26
B) 1,48
C) 1,62
D) 1,71
Answer:
english pls
Step-by-step explanation:
Answer:
metreyle ölçmek lazım WXQQDWRQCQ
The pot above contains 12 liters of water. If the water were divided equally into 4 smaller containers, how many liters would be in each container?
Answer:
3
Step-by-step explanation:
12/4=3
Answer:
3 liters per small contaner
Step-by-step explanation:
12 divided by 4 is 3
An office supply store recently sold a black printer ink cartridge for $14.99 and a color printer ink cartridge for $23.99. At the start of a recent fall semester, a total of 64 of these cartridges was sold for a total of $1157.36. How many of each type were purchased?
A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following data. Speed (Miles per Hour) 30 50 40 55 30 25 60 25 50 55 Miles per Gallon 29 26 26 22 29 31 21 35 25 26 Compute the sample correlation coefficient. (Round your answer to two decimal places.) Interpret the sample correlation coefficient. There is a strong negative relationship between the driving speed and miles per gallon. For driving speed between 25 and 60 miles per hour, higher speeds are associated with lower miles per gallon.
Answer:
R = -0.90 (2 decimal places)
Step-by-step explanation:
Given the data :
Speed (Miles per Hour) :
30
50
40
55
30
25
60
25
50
55
Miles per Gallon :
29
26
26
22
29
31
21
35
25
26
The correlation Coefficient, R shows the degree or level of relationship between the dependent and independent variable. A positive R value denotes a positive correlation while a negative R value denotes a negative relationship. R values should range between - 1 to +1 with values close to 1 and - 1 depicting strength while value of zero means no relationship exist.
Hence, R value of -0.90 depicts a strong negative relationship. Hence, higher speed are related to lower miles per gallon and vice versa.