Step-by-step explanation:
(x - 2)(2x + 3)
=2x²+3x-4x-6
=2x²-x-6
Answer:
2x^2-x-6
Step-by-step explanation:
use foil,
1) x*2x=2x^2
2) x*
majikalmochi avatar
i sent too early lol
2) x*3= 3x
majikalmochi avatar
3) -2*2x=-4x
4) -2*3=-6
majikalmochi avatar
now put that all together
2x^2+3x-4x-6
simplify
2x^2-x-6
please help and thank you!
Answer:
Its d i took the class
Step-by-step explanation:
Find the endpoint:
The midpoint of CD is M = (-3, -6), one endpoint is C = (-1, -4). Find the other endpoint, D
Answer:
The coordinates of Point D are: (-5,-8)
Step-by-step explanation:
The formula for mid-point is given by:
[tex]M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
For the point (x1,y1) and (x2,y2)
Given that
M = (-3, -6)
C = (-1, -4) => (x1,y1)
Putting the values of given points in the formula for mid-point
[tex](-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})[/tex]
Putting respective coordinates equal
[tex]-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8[/tex]
Hence,
The coordinates of Point D are: (-5,-8)
2. Mary's test average after 8 tests is 80. Her score on the
9th test was 71. If all 9 tests are weighted equally, what
is Mary's test average for all 9 tests?
A. 71
B. 75.5
C. 77
D. 79
E. 80
Answer:
D
Step-by-step explanation:
since her test average for the first 8 tests is 80, the sum of all the scores for the first 8 tests is 640. Since her 9th test is 71, we do 640+71=711. To find the average of all 9 tests, we do 711/9 = 79
D
8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is true? Select ALL that apply.
A. The slope of Function W is less than the slope of Function Z.
B. The slope of Function W is greater than the slope of Function Z.
C. The slope of Function W is equal to the slope of Function Z.
D. The y-intercept of Function W is less than the y-intercept of Function Z.
E. The y-intercept of Function W is equal to the y-intercept of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
*the graph of Function W and table of values of Function Z are in the diagram attached below.
Answer:
B. The slope of Function W is greater than the slope of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Step-by-step explanation:
To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.
✍️Function W:
Slope of Function B, using two points on the line, (0, -1) and (2, 0):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5 [/tex]
✅Slope = 0.5.
y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.
✅y-intercept = -1.
✍️Function Z:
Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25 [/tex]
✅Slope = 0.25.
y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:
✅y-intercept = -2.
Thus, the following statements that compares both functions are TRUE:
B. The slope of Function W is greater than the slope of Function Z.
✔️This is TRUE because 0.5 is greater than 0.25.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
✔️This is TRUE because -1 is greater than -2.
Answer: B and F
Step-by-step explanation:
HELP HELP ASAPPPPP NEED THESE TWO ANSWERED PLSSSSS
Which of the following is equivalent to logb sqrt 57/74
Answer:
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
Step-by-step explanation:
Given the expression
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]
Rewrite as
[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]
[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex] ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]
Therefore,
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
A Bugatti car dealer paid a certain price for a car and marked it up by 13 of the price she paid. Later, she sold it for $40,000. What is the original price that the car dealer bought the car? Please explain you answer!
Answer:
565
Step-by-step explanation:
77
The inequality represents the spine thickness, in centimeters, of various books on a
shelf.
18
0.15
5
Which value of x could represent the thickness of a book on this shelf?
Answer:
7/2
Step-by-step explanation:
An outdoor adventure company charges $9 per hour for a mountain
bike plus a $5 fee for a helmet.
Answer:500
Step-by-step explanation:500 +7++U+U++UU+
Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. How many letters would Eddie have to engrave on his case for it to cost the same at either store?
Answer:
5 letters
Step-by-step explanation:
Let x = the number of letters engraved.
For the first store, the cost can be written as (18.50 + 0.15x).
For the second store, the cost can be written as (18 + 0.25x).
For the cost and value of x to be the same, let them equal eachother and evaluate x:
18.5 + 0.15x = 18 + 0.25
0.1x = 0.5
∴x=5
Solve the absolute value equation.
3=|6-x|
Answer: well it's correct-
Step-by-step explanation: it shows that e equals to 6-x, x would be 3 so then the problem would still be correct (3=|3|) and |3| just equals, well, 3.
A man cycles to a village at 18km/hr and returns at 12km/hr. If he takes 6 tahrs
for the double journey, how far does he ride altogether?
Answer:
30km/hr
Step-by-step explanation:
18km/hr +12km/hr
The man rides 86.4 km distance.
What is speed?Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.
Speed is directly Proportional to Distance and inversely proportional to Time.
Speed = Distance/Time
Given,
Speed of man way to the village = 18km/hour
Speed of man when returns from the village = 12km/hour
Time for double journey = 6 hour
Let going time is x and returning time is y
x + y = 6 -------(a)
⇒ x = 6 - y
Distance for going = distance for returning
18x = 12y
Putting value of x in terms of y
18(6 - y) = 12y
108 - 18y = 12y
30y = 108
y = 108/30
y = 3.6 hours
Putting value of y in equation (a)
x + 3.6 = 6
x = 6 - 3.6
x = 2.4
Returning time = 3.6 hours
Returning distance = returning time × returning speed = 3.6 × 12
Returning distance = 43.2 km
Going distance = Returning distance = 43.2
Total ride distance = 43.2 + 43.2 = 86.4 km
Hence, 86.4 km is the distance of ride by the man.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ2
Possible answers:1/3,1/2,2,3
Answer:
1/2
Step-by-step explanation:
find the quontient. 673÷3
Answer: 224
Step-by-step explanation:
2. g(x)= x2 +14x +13
A triangle has an area of
2x2 + 4x – 16 square meters. If the base
is x – 2 meters, find the height
Answer:
The expression for the area of the given triangle is 5x^4+4x^3units
Step-by-step explanation:
please answer asap
Enter your answer as fraction in simplest form by filling in the boxes
Answer:
1/2
Step-by-step explanation:
The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.
Please help, I will mark first correct answer brainliest.
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
Find the equation of the line shown.
Answer:
I think that it is y= -2x +9
Step-by-step explanation:
I am sure about the slope but the y-intercept (9) might be wrong.
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is approximately equal to 4.23 cups. Which measurement is closest to the number of liters of punch Elvira made
A: 1:42 L
B: 10.23 L
C: 25.38
D: 1.77 L
Answer:
C
Step-by-step explanation:
What two consecutive odd integers have a sum of 88?
Answer:
What two consecutive odd integers have a sum of 88? x + x + 2 = 88 • 2x + 2 = 88 • 2x = 86 • x = 43, x + 2 = 45 • 43 + 45 = 88 • Ans: 43, 45 • They equal 88 and are both odd.
At a grocery store, it costs $9 for 6 cans of soup. What is the unit price?
Answer:
1.5
Step-by-step explanation:
6 * 1.5 = 9
Answer:
1.3
Step-by-step explanation:
[tex]\sqrt[6]{9}[/tex] = 9 divided by 6, 6 goes into 9, 1 time. Remainder of 3, 1.3 is the answer.
Can someone help me out plz?! You can get 50 points?!
Try using the pythagorean theorem i think?
Answer:
The Base is Greater than the height
Step-by-step explanation:
So the answer has to be greater than eight.
What is the first step in evaluating (12.9 – 3.1) × 6.2 – 2 + 43
Answer:
101.76
Step-by-step explanation:
Answer:
(12.9 - 3.1) i'm in middle school so if i can do it you can
Step-by-step explanation:
FAST ANSWER NEEDED 7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best models this situation?
Answer:
rage we are not doing ur homework
Step-by-step explanation:
14236.53
Step-by-step explanation:
I lookedd it up I'm not smart. ;)
Solve: 2a + 5 = 23
:((
Answer: 9
Step-by-step explanation:
Which Point represents the opposite of six,??
Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?
Answer:
the answer is 0.3%
Step-by-step explanation:
12 divided by 40 is 0.3
Answer:
30%
Step-by-step explanation:
Write a proportion.
12 / 40 = x / 100
Cross multiply.
40x = 1200
Solve for x.
x = 30
She ate 30% of the chips.
y=3/8x−4 write in standard form
Answer:
3x-8y=32
Step-by-step explanation:
The diagram shows a triangle.
y+12°
2y–18°
2y+16°
What is the value of y?
y =
°
Answer:
34°Step-by-step explanation:
I'm a little confused by your question. But I solved the question this way.
y+12+2y-18+2y+16=180
Why 180° you ask? Because the angle sum interior of a triangle always measures 180°.
(y+2y+2y)+(12+−18+16)=180
5y+10=180
Subtract
5y+10−10=180−10
5y=170
divide
5y/5=170/5
y=34