just solve by yourself
if (a+b)=3 and ab=2, find the value of a2+b2
Answer: so a^2 + b^2 = 5
Step-by-step explanation:
(a+b) = 3
ab = 2
so
(a+b)^2 = 3^2
a^2 + 2ab + b^2 = 9
or, a^2 + 2*2 + b^2 = 9
or, a^2 + 4 + b^2 = 9
or, a^2 +b^2 = 9-4 = 5
<333
The owner has 8 employees. Seven of them
earn $ 210, $200, $190, $180, $300, $150,$90 a
day. What does the 8th employee get paid, if the
average pay for all 8 employees is $200?
A rental car agency charges $220 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $352.00?
Answer:
880 miles
Step-by-step explanation:
352 - 220 = 132
132 ÷ 0.15 = 880
880 miles
a retailer allows is 15% discount on the mp of electric fan if a customer pays rs 2244 with 10% vat find the mp of the fan
Answer:
LetmarkedPricebeRsxofelectricfan
∴9%discountonxRupees
andchargestocustomeris728rupees
∴x−1009x=728,10091x=728,91x=728×100,x=756×100=800rupees
Step-by-step explanation:
MP of the fan is 2400.
To find the mp of the fan.
What is profit and loss?To buy goods from the shopkeepers in the market which they buy either directly from the manufacturers or through the wholesalers.
Given:
let’s calculate backwards :
2244 = 100% sale price + 10% VAT = 110%
1% = 2244 / 110 = 20.40
100% (actual sale price) = 20.40×100 = 2040
Now, because of the 15% discount, these 2040 are only 85% of the originally marked price.
2040 = 85%
1% = 2040 / 85 = 24.00
100% (the original marked price) = 24×100 = 2400
2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.
So, the MP of the fan is 2400.
Learn more about profit and loss here:
https://brainly.com/question/24431998
#SPJ2
Multiply.
(b - 7)(2b +9)
(b - 7)(2b + 9) = (Simplify your answer.)
Answer:
foil method
add/subtract like terms
Step-by-step explanation:
b×2b=2b²
b×9=9b
-7×2b=-14b
-7×9=-63
-14b+9=-5
=2b²-5b-63
What is the arc length of arc cd in the circle below. The circle has a radius of 6ft and an angle measure of 30
9514 1404 393
Answer:
π ft ≈ 3.14 ft
Step-by-step explanation:
The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.
C = 2πr
1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft
The arc length is about 3.14 feet.
A rectangular picture frame has length three inches longer than twice it’s width. The perimeter is 36 inches. Find the width of the frame.
a.) 5in
b.) 7in
c.) 10in
d.) 11in
Answer:
A. 5 in
Step-by-step explanation:
Let w represent the width of the frame.
If the length is 3 inches longer than twice the width, it can be represented by 2w + 3.
Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and 2w + 3 as l, and solve for w:
p = 2l + 2w
36 = 2(2w + 3) + 2w
36 = 4w + 6 + 2w
36 = 6w + 6
30 = 6w
5 = w
So, the width of the frame is 5 inches.
The correct answer is A. 5 in
Which of the following is equivalent to the radical expression below when
x20?
VAX 1X+7
A. x 47
B. VAXA + 20%
C. VAMAX
D. X* 20%
Answer:
B in the photo
Step-by-step explanation:
another way to write the problem:
square root is also taking the 1/2 power:
[tex](4x)^{1/2} * (x+7)^{1/2} \\[/tex]
since they are raised to the same power:
[tex](4x * (x+7))^{1/2}\\(4x^2 + 28x)^{1/2}\\\\=\sqrt{4x^2 + 28x}[/tex]
An equation is shown below: 4x+2(x-3) = 4x+2x-11 Solve the equation and write the number of solutions. Name one property you used to solve this equation
Answer:
4x + 2(x - 3) = 4x + 2x - 11 4x + 2x - 6 = 4x + 2x - 11 6x - 6 = 6x - 11 6x - 6x = -11+ 6 O = -5...incorrect...this has no solution...0 solutions one property used was the distributive property :2(x - 3) = 2x - 6
f(2)=3 divide by 2x-5
Answer:
[tex]f(2) = \frac{3}{2x - 5} [/tex]
If no sides of a triangle have the same length, the triangle is called scalene
(pronounced SKAY-leen). And, as you might remember, if the triangle has at
least two sides that are the same length, the triangle is called isosceles. Use the
markings or description in each diagram below to decide if AABC is isosceles or
scalene. Assume the diagrams are not drawn to scale.
Answer:
a. isosceles
b. isosceles
c. scalene
plz help brainiest to whoever right
Answer:
(1/2)hb = Area of Triangle
s^2 = Area of Square
lw = Area of Rectangle
4s = Perimeter of a Square
2l + 2w = Perimeter of a Rectangle
a + b + c = Perimeter of a Triangle
Choose the equation that satisfies the data in the table.
-15 0 15
х
[
y
0
2
4
Answer:
B. y = [tex]\frac{2}{15} X + 2[/tex]
Step-by-step explanation:
I. Given x = 15 and y = 4
4 = [tex]\frac{2}{15}(15) + 2[/tex]
4 = 2+2
4 = 4 true
II. Give x = 0 and y = 2
2 = [tex]\frac{2}{15}(0) + 2[/tex]
2 = 0 + 2
2 = 2 true
III. Given x = -15 and y = 0
0 = [tex]\frac{2}{15}(-15) + 2[/tex]
0 = -2 + 2
0 = 0 true
Good luck.
Where would you find the point (-10,0)
Answer:
Step-by-step explanation:
the x axis
Helppppp plzzzzzzz!!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Answer:
slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.
Step-by-step explanation:
Ivan’s desserts made a batch of fresh scones with 4/5 of a pound of butter and 1/2 of a pound of sugar. How much more butter than sugar was used?
If a = 3+2✓2 then find the value of a^2+1/a^2
Pls answer first to answer get the brainliest crown
Pls answer ASAP
Answer: 34
Step-by-step explanation:
[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]
Solve equation by factoring.
Hi ;-)
[tex]x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4[/tex]
5. Name the property of real numbers illustrated by the equation. (1 point)
Answer:
distributive property
help help help
Find d
A. 74
B. 14
C. 16
D. 76
Answer:
D
Step-by-step explanation:
b/c 90 - 14 = 76 .........
Kayla Koolbeck has $37.60 un her checking account. She uses her debit card to make purchases of $25.99 and $19.34, which overdraws his account. His bank charges her account antes overdraft Dee of $25.00. She then deposits her paycheck for $58.66 from her part-time job ay Subway. What is the balance in ver account?
Answer:
33.66
Step-by-step explanation:
Find the value of 9 - [4 2 - (3 + 2)]. 8 6 -2
Answer:
-2
Step-by-step explanation:
9 - [4^2 - (3 + 2)]
PEDMAS says parentheses first
Work from the inside out
9 - [4^2 - (5)]
9 - [16-5]
9 - [11]
Subtract
9-11
-2
Please I need the answers if it is for today please if you can in edited photography, it is before 9 o'clock At that time I have to go to sleep please, I give a crown :(
Answer:
mkhhikbyjhggfikmnikkfyujikok
What is the value of the expression 4x^3 – 3x when x = 6?
Solve equation by completing the square.
Answer:
x=3 and x=5
Step-by-step explanation:
x2−8x+15=0
To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−8ab=15
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.
−1,−15−3,−5
Calculate the sum for each pair.
−1−15=−16−3−5=−8
The solution is the pair that gives sum −8.
a=−5b=−3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−5)(x−3)
To find equation solutions, solve x−5=0 and x−3=0.
x=5x=3
hope it helps :)
Can someone help me with this one pleaseee!!!!
select the code requirements when it is located in a crawl space You may select more than one.
Answer:
your gonna have to give me more details
Step-by-step explanation:
is this even a question
Fully factorise: 4x2−25
NEED ANSWER ONLY DON'T SHOW STEPS. URGENT!!!
a. (2x+5)(2x−5)
b. (2x−5)(2x−5)
c. (4x+5)(x−5)
d. (3x+20)(x+5)
Answer:
The correct choice is option a. (2x+5)(2x−5)
Answer:
Option a. (2x+5)(2x-5)
Step-by-step explanation:
4x2 - 25
Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:
a2 - b2 = (a + b) • (a − b)
As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:
4x2 - 25 = (2x)2 - 52
Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:
(2x + 5) • (2x − 5)
________________________________
I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.
In may cafe mocha raised their price for each cup of coffee $2.25 how much money did cafe mocha earn from their coffee of the month of may?
387×$2.25=$870.75
hope it helps.
whats equivalent to (4r+ 3) +(-2r+ 4)
Answer:
2r+7
Step-by-step explanation:
(4r+3)+(−2r+4)
Combine 4r and −2r to get 2r.
2r+3+4
Add 3 and 4 to get 7.
2r+7
:)