Answer:
(x-9)(x+2)
Step-by-step explanation:
x^2-7x-18
Factor
What two numbers multiply to -18 and add to -7
-9*2 = -18
-9+2 = -7
(x-9)(x+2)
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. I'm on Kahn so if anyone knows the answer to the question with the 4 graphs let me know.
Answer:
Total number of pages in book = 570 pages
Step-by-step explanation:
Given:
Rate of reading = 55 page per hour
Number of hour = 4 hour
Total pages remain = 350 pages
Find:
Total number of pages in book
Computation:
Number of pages read = Number of hour × Rate of reading
Number of pages read = 4 × 55
Number of pages read = 220
Total number of pages in book = Number of pages read + Total pages remain
Total number of pages in book = 220 + 350
Total number of pages in book = 570 pages
Please help me ASAP!
Which of the following equations is quadratic?
( x + 3)( x + 4) = 5
5(4 x + 2) = 3
x( x∧2 + 1) = 0
Answer:
( x + 3)( x + 4) = 5
Step-by-step explanation:
A quadratic equation is an equation with the highest power of the variable to the power of 2
( x + 3)( x + 4) = 5
The highest power is x^2 +3x+4x+12 =5 is x^2
Quadratic
5(4 x + 2) = 3
20x + 10 =3
linear
x( x∧2 + 1) = 0
x^3 +x =0
Cubic
Answer:
[tex]( x + 3)( x + 4) = 5[/tex]
Step-by-step explanation:
First of all: What is a quadratic equation?
A quadratic equation is a second-degree polynomial. It means that the highest exponent must be 2.
[tex]( x + 3)( x + 4) = 5[/tex]
Using FOIL
[tex]x^2+4x+3x+12=5[/tex]
[tex]x^2+7x+7=0[/tex]
We got the answer. But just expanding the other equations given:
[tex]5(4 x + 2) = 3[/tex]
[tex]20x+10=3[/tex]
[tex]20x+7=0[/tex]
This one is a linear equation
In this case, actually there's a typo mistake, but it still understandable.
The symbol used is the logical symbol meaning AND (∧)
Of course, you meant [tex]x^2[/tex]
[tex]x(x^2+1)=0[/tex]
[tex]x^3+x=0[/tex]
This one is a cubic equation or third-degree polynomial
20 POINTS. PLEASE HELP FAST. FIRST ANSWER GETS BRAINLIEST.
Answer:
bd=24
Step-by-step explanation:
I believe you would have to set up a proportion. 32/19.2=15.0/x. cross multiply 19.2 and 15 to get 288. then divide by 32 to get qd=9. then add qd and bq to get 24.
Jamila wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is divisible by 5? Input your answer as a decimal or fraction.
100 total numbers.
20 Numbers divisiblae by 5: 5, 10, 15, 20, 25, 30, 35,40,45,50,55,60,65,70,75,80,85,90,95,100
Probability = 20/100 = 2/10
Answer:
1/5
Step-by-step explanation:
There are total 100 numbers.
Numbers divisible by 5 through 1-100 are:
5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100
There are 20 numbers that are divisible by 5.
20/100 = 1/5
Which equation, when solved, results in a different value of x than the other three?
Answer:
-7/8(-8/7)x-3/4=20(-8/7)
Step-by-step explanation:
-7/8(-8/7)x-3/4=20(-8/7)
x-3/4=-21 1/7
x=-21 4/28-21/28
x= 20 3/28
The other three are actually the same problem, and they all equal -23.7
Answer:
-7/8(-8/7)x-3/4=20(-8/7)
Step-by-step explanation:
Proof Below
Got it right on test
Estimate the value of?
Answer:
D) 2.0
Step-by-step explanation:
We know that √2 = 1.414213562 ≈ 1.4, π ≈ 3.14, and √5 = 2.236067978 ≈ 2.2 . Next, I found out that √2π = 4.442882938 which rounds to 4.4. Then, I found out that 4.4 ÷ √5 equals to 1.96773982. So, if we round our answer to the nearest whole number, we will get 2.
Answer:
[tex]\boxed{Option \ D}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{2} \pi }{\sqrt{5} }[/tex]
Where [tex]\sqrt{2}[/tex] = 1.4 , π = 3.14 and [tex]\sqrt{5}[/tex] = 2.24
Plugging in the values
=> [tex]\frac{(1.4)(3.14)}{2.24}[/tex]
=> 4.396/2.24
=> 1.9
≈ 2.0
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answer:
15.62 = x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
10 ^2 + 12^2 = x^2
100 +144 = x^2
244 = x^2
Take the square root of each side
sqrt(244) = sqrt(x^2)
15.62049935 = x
Rounding to the nearest hundredth
15.62 = x
Answer:
15.62
Step-by-step explanation:
We can use the Pythagorean Theorem.
10^2+12^2=c^2
100+144=c^2
244=c^2
15.62=c, or x=15.62
Write the following decimals as fractions.
Show work for each and every question below.
Answer:
5a) 0.2823=2823/10000
5b) 0.5474=2737/5000
6a)0.3484=871/2500
6b) 0.5=1/2
7a) 0.11=11/100
7b) 0.1224=153/1250
Step-by-step explanation:
The temperature of a mixture is decreasing by 5∘C every hour. When it was first mixed, its temperature was recorded at −20∘C.
Which answer correctly represents the temperature of the mixture over time?
f(x)=−20x−5
That is incorrect.
f(x)=−5x−20
f(x)=−20x+5
f(x)=5x+20
f(x)=−15x
Answer:
f(x)=−5x−20
Step-by-step explanation:
It's decreasing 5 degrees every hour, which is represented by -5x
You also have to take away the 20 (-20) from where it started.
So, f(x)=−5x−20
Answer:
f(x) = -5x - 20
Step-by-step explanation:
f(x) = starting temperature + decreasing temperature * number of hours
= -20 + (-5) * x
= -20 - 5x
Evaluate the following: −3 − (−2). (5 points) a. -5 B. -1 c. 1 d. -6
Answer:
B:-1
Step-by-step explanation:
-3-(-2)=-3+2=-1
Answer:
-1Step-by-step explanation:
[tex] - 3 - ( - 2)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] - 3 + 2[/tex]
Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.
Calculate:
[tex] - 1[/tex]
Some rules:
[tex]( + ) \times ( + ) = ( + )[/tex]
[tex]( + ) \times ( - ) = ( - )[/tex]
[tex]( - ) \times ( - ) = ( + )[/tex]
[tex]( - ) \times ( + ) = ( - )[/tex]
Hope this helps..
Identify an equation in point-slope form for the line perpendicular to
y=-2x+ 8 that passes through (-3,9).
O A. y - 9 = -2(x+3)
O B. y+3 - 3(x-9)
O C. y-9-(x + 2)
O D.y +9 = 2(x – 3)
The correct option is A. The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is: y - 9 = 1/2(x + 3).
To find the equation of a line perpendicular to y = -2x + 8 that passes through the point (-3, 9), we need to determine the slope of the perpendicular line.
The given equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope of the given line is -2.
Since the perpendicular line has a slope that is the negative reciprocal of -2, we can determine its slope as 1/2.
Now that we have the slope (1/2) and a point (-3, 9) on the line, we can use the point-slope form of a line to write the equation:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point and m is the slope.
Plugging in the values, we get:
y - 9 = 1/2(x - (-3))
Simplifying:
y - 9 = 1/2(x + 3)
Rearranging to match the given options:
y - 9 = 1/2(x) + 3/2
The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is:
y - 9 = 1/2(x + 3)
Therefore, the correct option is A.
Learn more about equation here
https://brainly.com/question/17126696
#SPJ2
Complete question is below
Identify an equation in point-slope form for the line perpendicular to
y=-2x+ 8 that passes through (-3,9).
A. y - 9 = 1/2(x+3)
B. y+3 = 3(x-9)
C. y - 9 = (x + 2)
D. y + 9 = 1/2(x – 3)
Please answer quickly.
Answer:
Option 4
Step-by-step explanation:
=> [tex]\frac{4}{5} x^{-9}y^6z^8[/tex]
If there is any variable having a negative exponent, we should move it to its opposite side (Denominator to numerator and vice versa) So that it's exponent become positive.
=> [tex]\frac{4y^6z^8}{5x^9}[/tex]
Answer: D) [tex]\frac{4y^6z^8}{5x^9}[/tex]
Step-by-step explanation:
(4/5)x^-9y^6z^8 = [tex]\frac{4x^{-9}y^6z^8}{5}[/tex]
Any negative exponent can be taken to the other side of the fraction to be positive. Thus,
[tex]\frac{4x^{-9}y^6z^8}{5}[/tex] = [tex]\frac{4y^6z^8}{5x^9}[/tex]
Hope it helps <3
Kobi and I need to know which of the following is NOT a possible value for the number of pennies
Answer:
A. 85
Step-by-step explanation:
SInce nickels are worth 5 cents, the number of pennies must end with an 8 or a 3 in order for the total to end with a 3 ($9.83)
Which of the following expressions are equivalent to 4 - (-5) +0?
Intro
Choose 3 answers:
A: 4- (-5)
B: 4+5
C: 4- (-5+0)
D: (4-5)+0
E: 4- (5-0)
Answer:
A, B, C
Step-by-step explanation:
4 - (-5) + 0
4 - (-5) = 4 + 5 (because a negative + negative = positive)
4 + 5 = 9
a, b and c all equal 9
hopefully this helped you!! :3
The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD? Conversion Chart USD CAD 5 4.95 7 6.93 8 7.92 11 10.89 ANSWERS: A) 18.00 CAD B) 21.66 CAD C) 24.75 CAD D) 34.65 CAD
Answer:
C
Step-by-step explanation:
24.75
Find all exact values of
If there are multiple solutions, list the solutions in numerical order separated by commas. If there is no solution, use Ø.
Provide your answer below:
Answer:
General solution
θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]
Put n=1
θ = 210°
put n =2
θ = 330°
put n=3
θ = 270°
Step-by-step explanation:
Explanation:-
Given equation
sin 2θ cosθ + cos 2θ sinθ = -1
we know that
Sin (A+B) = sin A cos B +Cos A sin B
sin( 2θ+θ) = sin (180+90)
= [tex]Sin(\pi +\frac{\pi }{2})[/tex]
sin 3θ = sin (3π/2)
General solution of sinθ = sinα
θ = 2 n π ±α
3θ = 2 n π ±3π/2
θ =[tex]\frac{2n\pi }{3} +\frac{3\pi }{6}[/tex]
θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]
Put n=1
θ=[tex]\frac{2\pi }{3} +\frac{\pi }{2}=\frac{4\pi +3\pi }{6} =\frac{7\pi }{6}[/tex] = 210°
put n =2
θ=[tex]\frac{4\pi }{3} +\frac{\pi }{2}=\frac{8\pi +3\pi }{6} =\frac{11\pi }{6}[/tex] = 330°
Put n=3
θ=[tex]\frac{2 (3)\pi }{3} +\frac{\pi }{2}=2\pi +\frac{\pi }{2} = \frac{3\pi }{2}[/tex] = 270°
Sean is raising funds for an event at his school. He has collected $25 each from x people, and he is still $100 short of his goal. The expression that gives his goal is
Answer:
25x + 100 = His goal
Step-by-step explanation:
He gets 25 from each person so the amount of people would be x and then you add 100 dollars for how much he still needs.
Y=25x +100, i think thats right not 100% sure though.
The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 2, shifted to the left by 8 units, and shifted up
by 3 units.
Find the equation of the function g(x) described above.
Answer:
We start with y = g(x) = f(x)
First, we have a vertical stretch by a factor of 2.
A vertical strech by a factor of A will be g(x) = A*f(x)
then in this case A = 2, so we have g(x) = 2*f(x)
Now we have it shifted left by 8 units.
We know that f(x - A) shift right the graph by A units (A positive), here A = 8.
then we have: g(x) = 2*f(x - 8)
Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)
Then we have: g(x) = 2*f(x - 8) + 3
now, our function was f(x) = Log₅(x)
then g(x) = 2*log₅(x - 8) + 3.
Answer:
g(x)=2log5(x+4)−8
Step-by-step explanation:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?
Answer:
Step-by-step explanation:
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\[/tex]
A(2, -6), B(5, -6),
[tex]AB =\sqrt{(5-2)^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(5-2)^{2}+(-6+6)^{2}}\\\\=\sqrt{3^{2}+0}\\\\=\sqrt{3^{2}}\\\\=3 units\\[/tex]
B(5,-6) ; C(5,-2)
[tex]BC = \sqrt{(5-5)^{2}+(-2-[-6])^{2}}\\\\ = \sqrt{0+(-2+6)^{2}}\\\\ = \sqrt{4^{2}}\\\\[/tex]
BC = 4 units
C(5, -2) ; D (2,-2)
[tex]CD = \sqrt{(2-5)^{2}+(-2-[-2])^{2}}\\\\ = \sqrt{(-3)^{2}+(-2+2)^{2}}\\\\ = \sqrt{(-3)^{2}}[/tex]
CD = 3 units
A(2,-6) ; D(2,-2)
[tex]AD = \sqrt{(2-2)^{2}+(-2+6)^{2}}\\\\ = \sqrt{0 +(4)^{2}}\\\\ = \sqrt{(4)^{2}}\\[/tex]
= 4 units
Perimeter = AB + BC + CD + AD
= 3 + 4 + 3 + 4
= 14 units
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 8^x+4 intersect are the solutions of the equation 2^−x = 8^x+4.
Part B: Make tables to find the solution to 2^−x = 8^x+4. Take the integer values of x between −3 and 3.
Part C: How can you solve the equation 2^−x = 8^x+4 graphically?
Answer:
See explanation
Step-by-step explanation:
A) the x-intercept is the solution because there are only x's in the equation when they are set equal to each other.
B) (-3, 8), (-3, 4)
(-2, 4), (-2, 4)***** this is the solution
(-1, 2), (-1, 4 1/8)
(0, 1), (0, 5)
(1, 1/2), (1, 12)
(2, 1/4), (2, 68)
(3, 1/8), (3, 516)
C) Graph them and show the intersection
See Attachment
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 milliliters of a mixture that contains 23%vinegar. How much vinegar and how much Italian dressing should she use?
Answer:
Vinegar: 40 milliliters
Italian dressing: 280 milliliters
Step-by-step explanation:
I jus took the test :)
-2<3 multiple each side by -5 what is the resulting inequality
Answer:
[tex]\boxed{10>-15}[/tex]
Step-by-step explanation:
[tex]-2<3[/tex]
Multiply each side by -5.
[tex]-2 \times -5 <3 \times -5[/tex]
Switch signs when multiplying or dividing by a negative integer.
[tex]10>-15[/tex]
Answer:
10 > -15
Step-by-step explanation:
-2 < 3
We want to multiply each side by -5 and we want to see what happens:
-2 * -5 < 3 * -5
= 10 < -15
This is a wrong inequality as 10 is ahead of -15 on the number line.
Which linear inequality is represented by the graph?
Answer:
y ≤ (1/2)x + 2
Step-by-step explanation:
Find the equation of the solid line. It is immediately evident that the y-intercept is (0, 2). The line also passes through (-4, 0). Starting at (-4, 0), x (the run) increases by 4 to 0 and y (the rise) increases from 0 to 2. Thus, the slope of this line is m = rise / run = 2/4, or m = 1/2.
Thus the equation of the line is y ≤ (1/2)x + 2.
Find the area of the shape shown below.
Answer:
6[tex]cm^{2}[/tex] (assuming the units is in centimetres)
Step-by-step explanation:
Hi, hope this helps!
Method 1:
Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:
- Half the sum of the parallel sides
- Multiply the perpendicular height between them
In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).
Method 2:
Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).
- Area of the square / rectangle = length x width = 2 x 2 = 4
- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2
Then we add the two areas together (4 + 2 = 6).
I hope this helped and I wasn't waffling on :)
Bluey
Answer:6
Step-by-step explanation:
HELP NOW A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 10 points?
Answer:
1/2 (or) 0.50 (or) 50%
Step-by-step explanation:
10 out of 20 wedges are worth more than 10.
10/20 = 1/2 (or) 0.50 (or) 50%
Answer:
0.75
Step-by-step explanation:
Estimate the solution to the system of equations.
Answer:
Find it in the explanation
Step-by-step explanation:
Equate the two solutions.
2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.
Now we get
4x+6y=12 and
-4x+3y=12
Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.
Adding these two equations together, I get:
9y=24
y=24/9
in fraction form y= 2 and 2 thirds.
Plug that in any of the equations and solve for the value of x, which will be -1
Therefore, the coordinates are (-1, 2 and 2/3)
Answer:
The answer is x= -1/2 and y= 7/3 or 2whole 1/3.
hope it helps..
What is the result of adding these two equations?
Answer:
-5x - 8y = -5.
Step-by-step explanation:
4x + (-9x) -4y + (-4y) = -2 + (-3)
-5x - 8y = -5.
Answer:
-5x -8y = -5
Step-by-step explanation:
The question asks us to add the equations
4x - 4y = -2
+ -9x -4y = -3
------------------------
-5x -8y = -5
Which expression is equal to ....
Answer:
the last one is equal to the question....
Step-by-step explanation:
Answer:
(5√11)/11 (option 1)
Step-by-step explanation:
If you multiply both the top and bottom by √11, you will get 5√11/11.
Next, make sure that the other answers are wrong.
5=√25, so
√11*5=√11*√25
So option 2 and 3 are incorrect.
#4 is obviously wrong, as you cannot simply switch the square root symbol between the denominator and numerator.
Rewrite the expression below using the Associative Property of Multiplication: (ab)c
Answer:
hope this helps
Step-by-step explanation:
(ab)c = (ac)b = (bc)a
Answer:
Here are a couple of examples (a+b)c or (c+b)a or (a+c)b
Step-by-step explanation:
To “associate” means to connect or join with something. According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.
Use the Venn diagram to list the elements of the set in the roster form
Answer:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Step-by-step explanation:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!