Use the table to identify the values of pand q that should be used to factor x2
- 3x - 10 as (x + p)(x + 9).
Answers
Answer:
A
p = -5 and q = 2 or p = 2 and q = -5
Step-by-step explanation:
Technically, you don't need the table to help you out here. If you solely just factor out x²-3x-10, you would get (x-5)(x+2). So one variable would always have to be -5 and the other variable would always have to be 2.
Related Questions
find ABD
help please!!
Answers
Answer:
20 degrees
Step-by-step explanation:
If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!
Answer:
[tex]m\angle ABD =20^\circ[/tex]
Step-by-step explanation:
According to the given statement the two angles are equal.
[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]
Best Regards!
f(x)=(3 x-1)(2 x + 1)
Answers
Answer:
[tex]f(x)=6x^2+x-1[/tex]
I hope this help you :)
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Answers
Answer:
D. a = 29, b = 16, c = 24, d = 30, e = 22
Step-by-step explanation:
got it right on edge
The number of students who like both algebra and geometry is 27.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.
The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.
The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.
The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).
We are given that:
A = 45
G = 53
U = 75
U - (A ∪ G) = 6
Now,
U - (A ∪ G) = 6
75 - (45 + 53 - A ∩ G) = 6
27 = A ∩ G
Therefore,
The number of students who like both algebra and geometry is 27.
Learn more about the Venn diagram here:
https://brainly.com/question/1605100
#SPJ5
The complete question.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Find the number of students who like both algebra and geometry.
WILL GIVE 60 PTS! PLEASE HELP ME!!!! ANYTHING WILL HELP JUST EXPLAIN HOW TO GET THE ANSWER X is increased by 50% and decreased by 30% . What is the result? I am giving 60 points!
Answers
Answer:
[tex]\frac{5x+1}{5}[/tex]
Step-by-step explanation:
Given Condition:
=> x+50%-30%
=> x+20%
=> [tex]x+ \frac{20}{100}[/tex]
LCM = 100
=> [tex]\frac{100x+20}{100}[/tex]
Taking 20 common
=> [tex]\frac{20(5x+1)}{100}[/tex]
=> [tex]\frac{5x+1}{5}[/tex]
Hope this helps!
Don't hesitate asking anything regarding this!
If sin 25° =cos(y+50°),find y
Answers
Answer:
15 deg
Step-by-step explanation:
Sine and cosine are co-functions, so
sin x = cos(90 - x)
sin 25 = cos(90 - 25)
sin 25 = cos 65
y + 50 = 65
y = 15
Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Answers
Answer:
1,500,000
Step-by-step explanation:
Asap help like 911 help please
Answers
Answer:
Brainleist!
Step-by-step explanation:
See picture
Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = -5
slope = 0
slope is undefined
Answers
Answer:
slope is undefined
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 -1)/(8-8)
= -5/0
We cannot divide by zero so the slope is undefined
Answer:
Slope is undefined .
Step-by-step explanation:
(8, 1) (8, -4)y2 - y1
m = ---------------
x2 - x1
-4 - 1 -5
m = --------------- = ----- - = 0
8 - 8 0
250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours
Answers
Answer:
h = 2.5
Step-by-step explanation:
250 + 200h = 300 + 180h
subtract 180 from both sides250 + 200h - 180 = 300 + 180h - 180
250 + 20h = 300
subtract 205 from both sides250 - 250 + 20h = 300 - 250
20h = 50
divide both sides by 2020h ÷ 20 = 50 ÷ 20
h = 2.5
What is 3x+2y=-12 in Y=Mx+b form? Please answer ASAP
Answers
Hey there! :)
Answer:
y = -3/2x - 6
Step-by-step explanation:
Begin by isolating the 'y' variable:
3x + 2y = -12
Subtract both sides by 3x:
2y = -3x - 12
Divide both sides by 2:
y = -3/2x - 6
Therefore, the equation in y = mx + b form is:
y = -3/2x - 6
Answer:
y= -1.5x-6
Step-by-step explanation:
In order to turn this equation into y=mx+b form, we need to move x to the other side.
Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x
Step 2 : Now that we have everything on the right side, divide the equation by 2.
Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.
Use triangle ABC to write the value of sin B as a ratio. Use triangle ABC to write the value of sin B as a ratio.
Answers
Answer:
[tex] \sin(b) = \frac{12}{13} [/tex]
Evaluate piecewise functions
Answers
Answer:
The answer is 150.
Step-by-step explanation:
Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.
find the amount at compound interest that #600 would be at 3% the end of the first year, 2% at the end of the second year
Answers
Step-by-step explanation:
First we find the interest at the end of the first year.
Principal = #600
Rate = 3%
Time = 1 year
Interest = [tex]\frac{600 * 3 * 1}{100}[/tex]
= #18
Amount = #618 at the end of the first year
Now at the end of the second year.
Principal now = #618
Rate now = 2%
Time = 1 year
Interest = [tex]\frac{618 * 2 * 1}{100}[/tex]
= #12.36
Amount = #630.36 at the end of the second year
square root of 0.925 by long division method
Answers
0.96176920308
Hope it Helps you :)Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle
Answers
Answer:
30° each
Step-by-step explanation:
Complementary angles are those that add up to 90° so if they are all equal then it's
90/3=30°
Answer: 30° each
Complementary angles are those that add up to 90° just to remind you!!
1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here
Answers
Answer:
933+x < 1500
Step-by-step explanation:
Let x be the next purchase
The first charge of 933 and the next purchase is less than 1500 dollars
933+x < 1500
Answer:
1500>933+c
Step-by-step explanation:
,............
Solve the following quadratic equations
[tex]x { }^{2} - x - 42[/tex]
[tex]x {}^{2} + x - 6[/tex]
[tex]r {}^{2} - 25[/tex]
Answers
Answer:
see explanation
Step-by-step explanation:
To solve these equations equate them to zero, that is
x² - x - 42 = 0
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6, since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
(x - 7)(x + 6) = 0
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 6 = 0 ⇒ x = - 6
Solutions are x = - 6, x = 7
---------------------------------------------------------
x² + x - 6 = 0 ← in standard form
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Solutions are x = - 3, x = 2
------------------------------------------------------------
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take the square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
Solutions are x = - 5, x = 5
A savings account pays 4 1/2% interest. How much interest
will be earned on $450 in 3 years? How much money will
be in the account in 3 years?
i already know the answer i just need help solving it help!!!
Answers
Answer: Amount in account after 3 years $513.52
Interest accrued in 3 years is $63.52
Step-by-step explanation:
450 x 4.5% = 20.25
Add to balance 20.25 + 450 = 470.25
470.25 x 4.5% = 21.16
Add to balance 21.16+470.25=491.41
491.41 x 4.5% = 22.11
Add to balance 22.11 + 491.41 = 513.52
Dylan scored a total of 48 points in the first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answers
Answer:
g = 48 divided by 4
Step-by-step explanation:
Answer:
g=48/4
Step-by-step explanation:
this thing / mean divided
please help :( best explanation i give brainliest :)
Answers
Answer:
Chopped tomatoes
= 3/4 x 800 = 600g
Stock
= 3/4 x 600 = 450 ml
Red wine
= 3/4 x 300 = 225 ml
Answer: See below
Step-by-step explanation:
For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.
Chopped tomatoes
[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex] [cross multiply]
[tex]400x=240000[/tex] [divide both sides by 400]
[tex]x=600g[/tex]
We will need 600 g chopped tomatoes.
------------------------------------------------------------------------------------------
Stock
[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex] [cross multiply]
[tex]400x=180000[/tex] [divide both sides by 400]
[tex]x=450[/tex]
We will need 450 ml of stock.
------------------------------------------------------------------------------------------
Red wine
[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex] [cross multiply]
[tex]400x=90000[/tex] [divide both sides by 400]
[tex]x=225[/tex]
We will need 225 ml of red wine.
Please Hurry!!!! A Newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft above the ground, and then anchored to the ground 4ft from the base of the tree. How much wire is needed for the trees
Answers
Answer:
5 ft, I think
Part of the graph of the function f(x) = (x + 4)(x - 6) is
shown below.
Which statements about the function are true? Select two
options.
Ту
The vertex of the function is at (1,-25).
6
The vertex of the function is at (1,-24).
4
The graph is increasing only on the interval -4< x <6.
2
The graph is positive only on one interval, where x<-4.
The graph is negative on the entire interval
-4 < X < 6.
Answers
Answer:
Step-by-step explanation:
#1: True
#2: False
#3: False
#4: False
#5: True
I hope I've helped you.
A tent in the shape of a triangle prism is made using the following piece of fabric.
Find the surface area of the fabric. Explain your reasoning
Answers
Answer:
85.84 ft²
Step-by-step explanation:
The surface area of the fabric would be the total net area of the shape of the tent covered.
Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces
From the diagram given, the 3 rectangular faces have the same dimensions as follows:
L = 6ft
W = 4ft
Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²
The 2 triangular faces have the same dimensions as follows:
B = 4f
H = 3.46ft
Area of the 2 triangular faces = 2(½*B*H)
= 2(½*4*3.46)
= 2(2*3.46)
= 2(6.92)
= 13.84 ft²
Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²
Answer:
85.84
Step-by-step explanation:
A banker has $1000 to invest. She deposits part of it in a stock paying 4%, and the rest in bonds that offer 5% return. If the total interest earned in one year was $440, how much was invested at each rate?
Answers
Answer:
Step-by-step explanation:
Given that:
4x + 5x = $440
9x = $440
x = $49 (Approx.)
So, she received :
from the stock = 4 x 49 = $196
from the bond = 5 x 49 = $245
SO, now, how much did she invest ?
Answer:
Step-by-step explanation:
Let x represent the amount invested at 4% and y the amount at 5%. Then x + y = 1000.
Then:
0.04(1000 - x) + 0.05x) = 440 (total interest)
Then:
40 - 0.04x + 0.05x = 440, or
0.01x = 400, or
x = 40000 (not possible, because the principal is only $1000.
Something's wrong here. Double check to ensure that you've copied the problem down correctly.
Find the area of a rectangle with the following dimensions
Length=×+3
Width=4
Answers
Answer:
4x+12
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = (x+3) *4
Distribute
A = 4x+12
Please help 100 points. i need to finish this like in 20 min Assignment: The Law of Large Numbers Investigation Mrs. Hudson has made another assignment that Karen and Dakota are excited to try. To conduct your own experiment, you will need dice and a place to record your results. In this assignment, you will first calculate the theoretical probability for rolling a sum of 7. Then, you will roll the dice and add the numbers shown, recording your results as you go. Calculate the experimental probability for rolling a 7 after the 1st, 10th, and 100th rolls. Compare these results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? 1. List out the sample space for the experiment and then calculate the theoretical probability. _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ 2. Roll the dice. Record your results in the table. Calculate the experimental probability for rolling a sum of 7 after the 1st, 10th, and 100th rolls. Experimental Probability after Roll #1: ___________________________ How does the experimental probability compare to the theoretical probability after 1 roll? _________________________________________________________ _________________________________________________________ Experimental Probability after Roll #10: __________________________ How does the experimental probability compare to the theoretical probability after 10 rolls? _________________________________________________________ _________________________________________________________ Experimental Probability after Roll #100: _________________________ How does the experimental probability compare to the theoretical probability after 100 rolls? _________________________________________________________ _________________________________________________________ Tally your results in the table. Sum Results 2 3 4 5 6 7 8 9 10 11 12 Analyze your findings. 3. Compare the results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? Use four of your vocabulary words in your explanation. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________
Answers
The experimental probability is what you actually rolled
24/60 = 2/5 = 40%
The theoretical probability is what we expect to happen
=number of even numbers / total number of numbers
3/6 = 1/2 = 50%
► Find the surface area of cylinder whose base diameter is 5cm
and height is 30cm.(pi=22/7)
Answers
Answer:
510.71 cm^2Solution,
[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Answer :
Here,
Diameter = 5cm so, radius = 5/2 = 2.5
Height = 30 cm
Surface area of a cyclinder = 2πr(r+h)
= 2 × 22/7 × 2.5 ( 30 + 2.5 )
= 5 × 22/7 × 32.5
= 510.71 cm²
Whats is rusult of : ( - 2x² )³ . ( - 3x )²
Answers
Answer:
[tex]-72x^8[/tex]
Step-by-step explanation:
=> [tex](-2x^2)^3*(-3x)^2[/tex]
=> [tex]-8x^6*9x^2[/tex]
=> [tex](-8*9) *(x^6x^2)[/tex]
When bases are same powers are to be added
=> [tex](-72)(x^{6+2})[/tex]
=> [tex]-72x^8[/tex]
Answer:
[tex]- 72x^{8}[/tex]
Step-by-step explanation:
[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]
Distribute the exponents to the brackets.
[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]
[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]
[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]
[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]
[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]
Multiply like terms and add exponents with same bases.
[tex]- 72 \times x^{2+6}[/tex]
[tex]- 72 \times x^{8}[/tex]
please explain while solving
Answers
Answer:
48Step-by-step explanation:
In the picture above
I hope it helps :)
The cost of endless chicken wings and sauce at resturant X is $10. The cost of chicken wings at Resturant Z is $0.50 per wings plus a one-time $1.50 charge for sauce. The total cost, c, of n chicken wings can be represented by a system of equations.
Answers
Answer:
10=.50n+1.50
Step-by-step explanation:
The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50
c = total cost
n = number of chicken wings
Therefore,
The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.
The system of equation that represent the system is as follows:
c = 0.50n + 1.50
The one time fee for sauce is just like a constant in the equation.
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