Answer:
[tex]\boxed {\boxed {\sf (x+2)(x-5)}}[/tex]
Step-by-step explanation:
To factor by grouping, first divide the polynomial into 2 groups with parentheses.
[tex]x^2-5x+2x-10[/tex]
[tex](x^2-5x)+ (2x-10)[/tex]
Factor the greatest common factor (GCF) out of both binomials.
For the first binomial, the GCF is x.
[tex]x(x-5) +(2x-10)[/tex]
For the second binomial, the GCF is 2.
[tex]x(x-5)+2(x-5)[/tex]
Factor out the common binomial which is (x-5).
[tex](x+2)(x-5)[/tex]
The factorized form of x²-5x+2x-10 is (x+2)(x-5)
i don’t understand??
Answer:
[tex]\huge\boxed{\sf x = 10}[/tex]
Step-by-step explanation:
Hypotenuse = x
Base = 4
Perpendicular = [tex]\sqrt{84}[/tex]
Using Pythagoras Theorem:
[tex]\sf H^2 = P^2 + B^2\\\\ x^2 = (\sqrt{84} )^2 + (4)^2\\\\x^2 = 84 + 16\\\\x^2 = 100\\\\Taking \ sq \ root \ on \ both \ sides\\\\x = 10\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807simplify the following and write in exponential from
2³x3³
Answer:
6³ because 2³ and 3³ can be multiplied because they are to the same power, and keep the same power. Also, 6³ is 216.
Hope this helps!
It takes Emily for a minute to drive to a football game it takes Mark 1 hour and 15 minutes longer how many minutes does it take Mars to drive to the football game
Answer:
76 minutes
Step-by-step explanation:
The computation is shown below:
Since mark would take 1 hour and 15 minutes i.e. 60 + 15 = 75 minutes
And, emily takes for a minute = 1 minute
So, the number of minutes taken by Mars to drive is
= 75 + 1
= 76 minutes
11. One-third of the result of three times a number that is increased by 12
Answer:
n * 3 +12 / 3
Step-by-step explanation:
One third of the result of a number * 3 is once the number is multiplied by 3, the number is then added to 12, because the result is divided by 3, meaning you must multiply by 3 first, then add 12, and then divide by 3.
Equation formed will be:
1/3 (3x + 12)
THANK YOU!!
∝ Sidhdi
what's the answer? I don't get it
- 1/2 X + 3 = 1/4 (X-12)
Answer:
i think x=8
Step-by-step explanation:
A plane intersects the center of a sphere
with a volume of about 9,202.8 m3. What is
the area of the cross section? Round to the
nearest tenth.
Answer:
530.66
Step-by-step explanation:
The computation of the area of the cross section is shown below
Given that
Volume = 9208 m^3
Now let us assume the radius be r
So volume = 4 ÷ 3 πr^3
9202.8 × 3 ÷ 4π = r^3
27,608.4 ÷ 4 × 3.14 = r^3
27,608.4 ÷ 12.56 = r^3
2,198.12 = r^3
r = 13
Now the area of the cross section is
= πr^2
= 3.14 × (13)^2
= 530.66
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 37%. If they have six children, what is the probability that at most one of their six children will have that trait? Round your answer to the nearest thousandth.
Answer:
Yes
Step-by-step explanation:
Answer:
Sum: 0.78619≈0.786
Step-by-step explanation:
n=4
r=1, 2, 3, 4
r=1,2,3,4
"At least" counts up.
p=32\%=0.32
p=32%=0.32
q=1-0.32=0.68
q=1−0.32=0.68
The chance a success does NOT occur.
_{n}C_{r}p^rq^{n-r}
The probability that at most one of their six children will have that trait is 0.68
How to determine the probability?From the question, the given parameters are
Number of children, n = 6
Probability of a child with the trait, p = 37%
The required probability that at most one will have that trait is represented as P(x ≤ 1)
This probability is calculated ;
P(x ≤ 1) = P(0) + P(1)
Where
P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ
So, we have
P(x ≤ 1) = ⁷C₀ (37%)⁰ (1 - 37%)⁷⁻⁰ + ⁷C₁ (37%)¹ (1 - 37%)⁷⁻¹
Evaluate;
P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶
So, we have;
P(x ≤ 1) = 1-0.32= 0.68
Hence, the probability is 0.68
Read more about probability at
brainly.com/question/251701
#SPJ2
X to the fourth power minus Y to the fourth power
Answer:
[tex](x - y) \times (x + y)( {x }^{2} + {y}^{2} )[/tex]
Step-by-step explanation:
[tex](x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )[/tex]
[tex] ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )[/tex]
y = -2x + 5
4x + 2y = 10
Please show your work!!!
Answer:
The answer is ( X , - 2x + 5)
if you click the image it will show you how to solve the equation. I hope this helps you :)
What is the sum of
9
16
and
5
16
Answer:
7/8 step by step
Step-by-step explanation:
9/26 +5/16 = 14/16
simplify
7/8
Work out the volume of the cone, giving your answer
to 3 significant figures.
Answer:
V = 1010 sq cm. to 3 significant figures
Step-by-step explanation:
V = [tex]\frac{1}{3} pi 8^{2} (15)[/tex]
= [tex]\frac{\pi 64(15)}{3}[/tex]
= 1005.309649,,,
V = 1010 sq cm. to 3 significant figures
3y (3x - 1) - ( 3x - 1) tama "termino común"
Answer:
9xy-3x-3y+1
Step-by-step explanation:
3y(3x-1)-1(3x-1)
Use special right triangle find the exact value of x.
X=?
Answer: 12
Step-by-step explanation:
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 6 if she rolls the two number cubes 252 times?
Answer:
42 OR 35
Step-by-step explanation:
Can the measurement from △DEF be determined using only the Law of Cosines? State whether each measurement can be determined using only the Law of Cosines by answering “yes” or “no”.
m∠D =
m∠E =
DE =
9514 1404 393
Answer:
∠D - no∠E - noDE - yesStep-by-step explanation:
With a single application of the Law of Cosines, you can only find one of an unknown side or an unknown angle. The other three elements in the 4-variable equation must be specified.
However, a single application of the LoC can be used to find DE. Then, knowing the three sides, either of the unknown angles can be found from an additional application of the LoC.
So, the answer is "it depends." It is yes to all if finding DE first is allowed. It is "no" to the angles if they must be found without finding DE first.
The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, I will solve using the following assumptions.
Job A:
[tex]y = 2x + 5[/tex]
Job B
[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]
The first step is to calculate the rate of Job B using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (1,6)[/tex]
[tex](x_2,y_2) = (2,10)[/tex]
So, we have:
[tex]m = \frac{10 - 6}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m = 4[/tex]
So, the hourly rate of job B is $4/hr
For Job A:
[tex]y = 2x + 5[/tex]
A linear equation has the form:
[tex]y = mx + b[/tex]
Where m is the rate
By comparison:
[tex]m = 2[/tex]
So, the hourly rate of Job A is $2/hr
Comparing both rates, we can draw the following conclusions;
The hourly rate of Job A is greater than the hourly rate of Job BThe hourly rate of Job A is twice the hourly rate of Job B.Plsss help I have a couple min left plssss
Answer:
here is the answer
Step-by-step explanation:
the first one the slope is 2
the second one the slope is -3
the slope is always the one with the x and the second one without the x is the y axis
The given triangles are similar. Solve for x.
Last week Bill earned $210 for a 30-hour
week. What was his pay rate? What would
he have earned for a 40-hour week?
Answer:
Pay rate: 7
He earns $160 for a 40-hour week
Step-by-step explanation:
210/30 = 7
[tex]\frac{30}{120} =\frac{40}{x} \\\\30x=4800\\x=160[/tex]
help asap
find m∠ABC
Answer:
85
Step-by-step explanation:
(a) All even numbers are divisible by 2.
Call has 1,850 books.
She must pack them into
boxes to ship to a
bookstore. Each box will
hold 12 books. How
many boxes will she need
to pack all of the boxes?
Help please
4 x n = -8
Answer:
-2.
Step-by-step explanation:
4 x -2 = -8.
can someone help me solve this please
Answer:
The answer is C.
Step-by-step explanation:
6. What percentage of the children in class 5 is a member of a sports club? 3
Result sports questionnaire
for: class 5
“Are you a member of a
sports club?
yes: 15
no:5”
Answer:
75%
Step-by-step explanation:
Let x be the percentage for sports club members.
x% of 20 = 15
x/100 x 20 = 15
x/5 = 15
x = 75
Work out the size of angle BCD
Answer:
sin62=BD/AB
BD=Sin62×AB
BD=Sin62×15
BD=13.24
ALSO,
Tan C = BD/BC
Tan C = 13.24/24
Tan C = 5.51 / 10
C = Tan^-1 ( 5.51 / 10 )
Answer:
∠BCD = 29°
Step-by-step explanation:
sin 62 = BD/15
0.8829 = BD/15
BD = 13.24
tan ∠BCD = 13.24/24 = 0.5517
∠BCD = 29°
Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame?
Which expression represents the series 1+5+25+125+625
Answer:
Step-by-step explanation:
which of these expressions will return the same value for PV
Answer:
C
Step-by-step explanation:
The recursive function LaTeX: f\left(0\right)=1,\:f\left(n\right)=f\left(n-1\right)+2nf ( 0 ) = 1 , f ( n ) = f ( n − 1 ) + 2 n represents
Question:
The recursive function [tex]f(0) = 1[/tex], [tex]f(n) = f(n-1) + 2n[/tex] represents the nth term of a sequence. Determine the explicit function
Answer:
[tex]f(n) = n^2 + n+1[/tex]
Step-by-step explanation:
Given
[tex]f(0) = 1[/tex]
[tex]f(n) = f(n-1) + 2n[/tex]
Required
Write an explicit formula
Let n = 1
[tex]f(1) = f(1-1) + 2*1[/tex]
[tex]f(1) = f(0) + 2[/tex]
[tex]f(1) = 1 + 2 = 3[/tex]
Let n = 2
[tex]f(2) = f(2-1) + 2*2[/tex]
[tex]f(2) = f(1) + 4[/tex]
[tex]f(2) = 3 + 4 = 7[/tex]
Let n =3
[tex]f(3)=f(3-1) + 2 * 3[/tex]
[tex]f(3)=f(2) + 6[/tex]
[tex]f(3)=7+ 6 = 13[/tex]
Let n = 4
[tex]f(4) = f(4 - 1) + 2 * 4[/tex]
[tex]f(4) = f(3) + 8[/tex]
[tex]f(4) = 13+ 8 = 21[/tex]
So, we have:
[tex]f(1) = 3= 1 + 2 * 1=1+0*1*2*1[/tex]
[tex]f(2) = 7= 3 + 2 * 2=1+1*2+2*2[/tex]
[tex]f(3) = 13= 7 + 2 * 3= 1+2*3+2*3[/tex]
[tex]f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4[/tex]
Following the above pattern:
[tex]f(n) = 1 + (n - 1) * n + 2 * n[/tex]
[tex]f(n) = 1 + n(n - 1) + 2n[/tex]
Open bracket
[tex]f(n) = 1 + n^2 - n + 2n[/tex]
[tex]f(n) = 1 + n^2 + n[/tex]
[tex]f(n) = n^2 + n+1[/tex]