[tex](x+3)(x-8)=x\cdot x+x\cdot(-8)+3\cdot x+3\cdot(-8)=\\\\=x^2-8x+3x-24=\boxed{x^2-5x-24}[/tex]
Step-by-step explanation:
Multiple:
=x^2-24+3x-8x
=x^2-24-5x
=x^2-5x-24
Simplify:
x^2-5x-24=0
(x-8) (x+3) =0
x= 8 x= -3
Evaluate and simplify
maria worked 47 hours last week. she is paid time and a half for overtime. her gross pay last week was $757.50. what was her hourly rate?
The hourly rate is $16.11.
The following information is mentioned in the question:
Maria worked 47 hours in the last week.She paid for the overtime.The gross pay in the last week was $757.50.So, her hourly rate is
[tex]= \frac{Gross\ pay}{Number\ of\ hours} \\\\= \frac{\$757.50}{47\ hours}[/tex]
= $16.11
Here hourly rate should be measured by dividing the gross pay by the number of hours.
Therefore we can conclude that her hourly rate is $16.11
Learn more about the hourly rate here: brainly.com/question/14503751
Given:
Maria's last week working hours=47 She paid a half-hour for overtime.The gross pay for the last week = [tex]\bold{\$757.50}[/tex]Find:
hourly rate=?
Using formula:
[tex]\to \bold{\text{hourly rate}}=\frac{\text{Gross pay}}{\text{total hours}}[/tex]
[tex]=\frac{757.50}{47}\\\\= 16.117[/tex]
Therefore, her hourly rate is "16.117"
Learn more:
brainly.com/question/2691711
Please help me write an equation.
Answer:
k=6
Step-by-step explanation:
Line partition formula
1/b(x2-x1)+x1, 1/b(y2-y1)+y1
Where b is the number partitions.
We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.
1/b(17-2)+2=7
1/b(15)=5
1/b=1/3
b=3
so the partition is 1/3
[tex] \frac{1}{3} (17 - 2) + 2 = 7[/tex]
So let find the y coordinate
[tex] \frac{1}{3} (8 - 5) + 5 = 6[/tex]
So our y coordinate is 6.
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation:
E ⊂ F ⊂ G
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth
Answer:
15.59
Step-by-step explanation:
Area of an equilateral triangle given side length s:
area = (√3/4) * s²
Plug 6 in for s
area = (√3/4) * 6²
= √3/4 * 36
≈ 15.59
If -1 < x < 2, then 2x + 4
A. a=-1, b=2
B. a=2, b=6
C. a=0, b=8
D. a=-6, b=0
Answer:
A. a=-1 , b=2
That is the favourable answer
graph f(x) = ∛x+2
I just need the points for this. As far as I'm aware you're supposed to go left -2 because of opp. Just need the points and how to do it, ty.
Answer:
Please view the Graph image
Step-by-step explanation:
Please view the table of values to comprehend how I completed the graph from the function
solve by factoring
[tex] {n}^{2} - 6n= 0[/tex]
Please show all work!
Answer:
[tex]n=0,\\n=6[/tex]
Step-by-step explanation:
Given [tex]n^2-6n=0[/tex], we can factor out an [tex]n[/tex] from each of the terms on the left side of the equation:
[tex]n(n-6)=0[/tex]
Since we have two factors that multiply to zero, we can set each of them to zero and solve for [tex]n[/tex], because zero multiplied by anything is equal to zero. Therefore, as long as either [tex]n[/tex] or [tex]n-6[/tex] is equal to zero, the other factor can be any real number and the equation would still hold true.
Therefore, we have the following cases:
[tex]\begin{cases}n=0,\\n-6=0\end{cases}[/tex]
Solving, we get:
[tex]\begin{cases}n=0, n=\boxed{0}\\n-6=0, n=\boxed{6}\end{cases}[/tex]
[tex]\\ \sf\longmapsto n^2-6n=0[/tex]
Take n common[tex]\\ \sf\longmapsto n(n-6)=0[/tex]
Now
[tex]\\ \sf\longmapsto n=0\:or \:(n-6)=0[/tex]
[tex]\\ \sf\longmapsto n=0\:or \;n=6[/tex]
Hence roots of the equation are 0 and 6 .
More:-
We can solve it through Quadratic formula
[tex]\boxed{\sf x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
1 ten thousands equivalant to
Answer:
10000
Step-by-step explanation:
yep
that is the answer
Question : -2(3)(-11)
(-7mn + 8mn2 - 8m2n2). (10m2n + 2m2n2 - 3mn)
Answer:
dannyduncan69.com
Step-by-step explanation:
need help with question 10 asap!!
What number is 5 units to the left of 12 on the number line?
100 points HELP WILL MARK BRAINLIEST
could the ordered pairs (x,y) pairs have been generated by linear function?
x y
0 0
1 1
2 4
3 9
justify your answer in ethier words, pictures, or both
Yes ,
Let's create orderer pairs from the table of function.
(0,0)(1,1)(2,4)(3,9)Note:-
If (x,y) be a co-ordinate pair of a function then x is the domain and y is the range.
I NEED HELP ASP PLEASE HELP ME WITH THIS
Answer:
Point B` should be 2.5 feet from the center. As 2.5*4=10 ,therefore the scale factor is 4.
Step-by-step explanation:
is there suppose to be an attachment?
What is the answer to 5(n-7)=2(n+14) work
Answer:
n = 21
Step-by-step explanation:
5(n-7)=2(n+14)
Distribute
5n -35 = 2n+28
Subtract 2n from each side
5n-2n -35 = 2n-2n +28
3n-35 =28
Add 35 to each side
3n-35+35 = 28+35
3n = 63
Divide by 3
3n/3 = 63/3
n =21
Answer:
The answer is n=21.
Step-by-step explanation:
To solve the equation for (n), start by using the distributive property on both sides of the equation. The distributive property is multiplying the sum of two or more addends by a number which will give the same result as multiplying each addend individually by the number and then adding the products together.
The equation will look like [tex]5n-35=2n+28[/tex] after using the distributive property. Next, add 35 to both sides of the equation, which will look like [tex]5n=2n+63[/tex], and then subtract (2n) from both sides of the equation, which will look like [tex]3n=63[/tex]. The next step is to simplify the equation, which will look like [tex]n=21[/tex], and the final answer to the equation will be [tex]n=21[/tex].
express the following algebraically a)sun of p and q. b)difference of 2x and 3y. c)a and are added. d)difference of 7 and 4.
Step-by-step explanation:
p+q2x-3ya+r7-4i hope it helped U
Write the equation of the line passing through point (-6,0) and perpendicular to y=3/2 x
Answer:
option c
Step-by-step explanation:
explaination is in pic below
b. How many faces does a cube have? 아
Cube have 6 faces.
hope it helps
tq
Write -93.74 as a mixed number.
correct to answer gets brainlesst
Answer:
1 → e
2 → f
3 → b
4 → d
5 → a
Step-by-step explanation:
Look for the corresponding sides by paying attention to the angle pairs since the angles do not change when the polygon is scaled.
Sia buys a pen, a pencil and an eraser every 6th, 4th and 8th day respectively. If she bought all three of them on 1st Jan, the next time when she will buy all three of them together is:
A. 24th Jan
B. 12th Jan
C. 25th Jan
D. 13th Jan
Answer with full explanation
2 | 6,4,8
2 | 3,2,4
2 | 3,1,2
3 | 3,1,1
LCM=2×2×2×3=24
Date given=1st jan
Next date of buy:'[tex]\\ \qquad\quad\sf\longmapsto 1+24=25thJan[/tex]
The highest paid of these occupations Is aircraft pilot/flight engineer at $94.74 per hour. These workers work on an average of 24.3 hours a week.what is the average yearly earnings for a pilot or flight engineer who works 50 weeks a year?
Answer:
They make $115,109.10 per year.
Step-by-step explanation:
Solve how much workers make per week:
94.74 × 24.3
2302.182
Solve for 50 weeks:
2302.182 × 50
115109.1
The midpoint of the line segment with the coordinates (3, -10) and (-8, -8) is _
Answer:
(-2.5, - 9)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(3-8)/2=-5/2=-2.5
y=(-10-8)/2=-18/2=-9
please tell me the answer with explanation.
Answer:
HELLO DEAR,
GIVEN:-
10sin⁴A + 15cos⁴A = 6
=> 10(sin²A)² + 15cos⁴A = 6
=> 10{(1 - cos²A)²} + 15cos⁴A = 6
=> 10{1 + cos⁴A - 2cos²A} + 15cos⁴A = 6
=> 10 + 10cos⁴A - 20cos²A + 15cos⁴A = 6
=> 25cos⁴A - 20cos²A + 4 = 0
=> 25cos⁴A - 10cos²A - 10cos²A + 4 = 0
=> 5cos²A(5cos²A - 2) - 2(5cos²A - 2) = 0
=> (5cos²A - 2)(5cos²A - 2) = 0
=> cos²A = 2/5
=> cosA = √2/√5 [ secA = √5/√2]
therefore,
sinA = √[1 - 2/5] = √3/√5 [ cosecA = √5/√3]
now,
27cosec^6A + 8sec^6A
=> 27 × {(√5/√3)²}³ + 8 × {(√5/√2)²}³
=> 27 × 125/27 + 8 × 125/8
=> 125 + 125
=> 250.
HENCE, 27cosec^6A + 8sec^6A = 250.
I HOPE IT'S HELP YOU DEAR,
THANKS
Step-by-step explanation:
Need help with 1. 3 .5
Answer:
1. 2 lines that are at equal distance from each other and will never meet
2 rays/lines that meet at a point
A round shape whose outline is equal distance from the center.
Lines that meet at an 90° angle
3. [tex]\sqrt{106}[/tex] or 10.29563014......
Ummm... We can't see the 5th question
I hope this helps!
pls ❤ and mark brainliest pls!
A polygon which is regular has interior angles measuring 150°. This polygon is called a:
Answer:
Step-by-step explanation:
equilateral triangle
Answer:
Dodecagon (12 - sided polygon)Step-by-step explanation:
Let it be n- sided polygon.
Sum of interior angles is 150n.
On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:
S = 180(n - 2)Compare the sums and solve for n:
180(n - 2) = 150n180n - 360 = 150n180n - 150n = 36030n = 360n = 360/30n = 1212-sided polygon is called dodecagon
Simplify.
6i/9+2i
A. 81-18i/85
B. 2i/3
C. 6i/13
D. 12+54i/85
Answer:
D
Step-by-step explanation:
We want to simplify the expression:
[tex]\displaystyle \frac{6i}{9+2i}[/tex]
To do so, we can remove the imaginary unit in the denominator by multiply it by the conjugate.
The conjugate of a + bi is a - bi.
Hence, we will multiply the fraction by 9 - 2i:
[tex]\displaystyle =\frac{6i}{9+2i}\left(\frac{9-2i}{9-2i}\right)[/tex]
Multiply:
[tex]\displaystyle = \frac{6i(9-2i)}{(9+2i)(9-2i)}[/tex]
Difference of two squares:
[tex]\displaystyle = \frac{6i(9-2i)}{(9)^2 -(2i)^2}[/tex]
Simplify:
[tex]\displaystyle = \frac{54i-12i^2}{(81)-(4i^2)} = \frac{54i-(-12)}{81-(-4)} = \frac{12+54i}{85}[/tex]
Hence, our answer is D.
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
- (5/22)
Step-by-step explanation:
(12-2x+8)/3 = (6x + 15)/2
(20 - 2x)/3 = ( 6x + 15)/2
Now cross multiplication
40 - 4x = 18x + 45
-18x - 4x = 45- 40
- 22x = 5
x = - ( 5/22)
Mr. Martin's car odometer showed 10,393 miles. His wife's odometer showed 26,481 miles. How many more miles were shown on his wife's odometer than on Mr. Martin's odometer?
Answer:
16,088 more miles
Step-by-step explanation:
Do 26,481-10,393 to get the answer.
26,481-10,393=16,088
The reason that you need to use subtraction to solve this problem is because the word problem says ”how many more”. I’ve learned in school that this is a sign that you have to find the difference to the terms being used in the problem, in this case, 26,481 and 10,393. To find the difference is to subtract the smaller number from the larger number, showing that you have to do 26,481-10,393 to get the answer.