If a + b = 20 and ab = 75, find the value of a? + b2.
Answer:
a² + b² = 250
Step-by-step explanation:
Given
a + b = 20 ( square both sides )
(a + b)² = 20² , that is
a² + b² + 2ab = 400 ( substitute ab = 75 )
a² + b² + 2(75) = 400
a² + b² + 150 = 400 ( subtract 150 from both sides )
a² + b² = 250
Castel and Gabriella are selling cheesecakes for a school fundraiser. Customers can buy New York style cheesecakes and apple cheesecakes. Castel sold 14 New York style cheesecakes and 7 apple cheesecakes for a total of $301. Gabriella sold 7 New York style cheesecakes and 10 apple cheesecakes for a total of $274. Find the cost each of one New York style cheesecake and one apple cheesecake.
Answer:
$12 and $19Step-by-step explanation:
New York style cheesecakes - xApple cheesecakes - yWe have:
14x + 7y = 3017x + 10y = 274Solve the above system by elimination, double the second equation and subtract the first one:
2(7x) + 2(10y) - 14x - 7y = 2(274) - 30114x - 14x + 20y - 7y = 548 - 30113y = 247y = 247/13y = 19Find x:
14x + 7*19 = 30114x + 133 = 30114x = 301 - 13314x = 168x = 168/14x = 12(-10) – 48 – (-27)
Can someone help me?
Answer:
I think it's -31
Step-by-step explanation:
I just did it on calculator
Answer:
-31
Step-by-step explanation:
respect BODMAN
open first bracket and its -10, -10-48-(-27)
open second bracket and its - times - is a +
-10-48+27
=-31
At South London College, 40% of the students are boys (the rest are girls). 60% of the boys and 70% of the girls own a games console. If 27 girls do not own a games console, how many pupils in total do own a games console?
Answer:
99
Step-by-step explanation:
(BRAINLIEST)
The product of x and 4
Explain (REQUIRED)
Step-by-step explanation:
The product of x and 4
x×4
4x
Which of the following is a polynomial function in standard form with zeros at -8, -1, and 3?
A. f(x) = (x - 8)(x - 1)(x + 3)
B. f(x) = x3 - 6x2 - 19x + 24
C. f(x) = (x + 8)(x + 1)(x - 3)
D. f(x) = x3 + 6x2 - 19x - 24
I dont think I can write this out via phone; any help?
Answer:
2
Step-by-step explanation:
(4)(2)+4
-------------
(2)(4)−2
Replace x and y with the numbers
(4)(2) + 4 = 12
(2)(4) - 2 = 6
12/6 = 2
therefore answer is 2
Answer:
2
Step-by-step explanation:
x=2 y=4
4x + y /2y - x
4(2) + 4 / 2(4) - (2)
8 + 4 / 8 - 2
12 / 6
2
Brainliest is appreciated
Unit 1 geometry basics homework 4
Answer:
pls mention the question directly
if you roll 2 dice what is the probability that you would roll a sum of 12
21 ÷ 3 + [3×9 ]× 9 + 5
Answer:
255
Step-by-step explanation:
21 ÷ 3 + [27] × 9 + 5
21 ÷ 3 + 243 + 5
7 + 243 + 5
255
Anwser this please !!!!
Answer:
answer is 13
i am confuse this is q or 6
Step-by-step explanation:
Subtract the numbers
9−1⋅5/(8−3)⋅x^2+6
9 − 1 ⋅ 5 / 5 ⋅ ^ 2 + 6
9 − 1 ⋅ 5 / 5 ⋅ ^ 2 + 6
9 − 1 ⋅ 1x^ 2 + 6
9 − 1 ⋅ 1x^ 2 + 6
9 − x^ 2 + 6
9 − x^ 2 + 6
15− x^ 2
15− x^ 2
− x^ 2+15
This is my last answer pls help
Answer:
0.737 rounded to nearest hundredth =
0.74
0.737 rounded to nearest tenth =
0.7
The number before any decimal place below 5 will stay the same.
Answer:
Nearest hundreth 0.74
Nearest tenth 0.7
Step-by-step explanation:
If the number to the right of the place value is larger, then that number will go up by 1. If the number is lower, then the place value will stay the same, and the entier number will be shortened.
So 0.737 to the nearest hundreth becomes 0.74
And 0.737 to the nearest tenth becomes 0.7
Perimeter and Area? I need help.
Answer:
Area: 331 square units
Perimeter = 77 units
Step-by-step explanation:
Perimeter = (13*5)+(3*4) = 77 units
Area = 11(5*5)+4(5*4)+(4+4)=
275+40+16 = 331
evaluate the expression when c=6 and d=8
d+4c
Answer:
32
Step-by-step explanation:
d+4c
=8+4(6)
=8+24
=32
Answer:
32
Step-by-step explanation:
= d+4c
=8+4*6
=8+24
=32
Find the perimeter. Simplify your answer.
4a-10
1
a-3
a-3
4a-10
2(a - 3) + 2(4a - 10) =
= 2a - 6 + 8a - 20 =
= 2a + 8a - 6 - 20 = 10a - 26 ← the end
Answer: I think it is 10a-26
Step-by-step explanation: (4a-10) + (4a-10) + (a-3) + (a-3)
= 10a-26
Evaluate 5k + 1 when: *
4 points
101 15 43 36 37 16 - 19 99 120
k = 3
k = - 4
k = 20
k = 7
k = 3
k = - 4
k = 20
k = 7
1
k^2 = 4k
k = 0, k = 4
#2
k^2 - 5k = k + 7
k^2 - 6k = 7
k^2 - 6k + 9 = 16
k - 3 = 4 ⇒ k = 7
k - 3 = -4 ⇒ k = -1
#3
k^3 - 5k^2 + 3k = -k
k^3 - 5k^2 + 4k = 0
k(k^2 - 5k + 4) = 0
k = 0, k = 1, k = 4
#4
|k + 1| + 2 = 8
|k + 1| = 6
k = 5, k = -7
Find the distance between (4,1) and (3,-8)
Answer:
Use the distance formula to determine the distance between two points.
Exact Form:
√ 82
Decimal Form:
9.05538513
…
Step-by-step explanation:
is 3 over 2 a irrational number
Answer:
no it's a rational number
3 over 2 is equal to 1.5 if a number can be clearly defined as a fraction, then it is a rational number, not irrational
evaluate the expression when x=2 and y= -3. -x+2y
Answer:
-8
Step-by-step explanation:
It would be -2+2(-3)
Which means -2 plus 2 times -3
According to PEMDAS you have to do parenthesis first so 2 times -3 is -6 +-2=-8
So the answer is -8
Answer:
it would be -2 + 2(-3)
Step-by-step explanation:
the numbers given would replace the variables, so x would become -2 since its -x, and y would be (-3) in parenthesis since its to be multiplied (i believe if im remembering correctly) therefore it would become:
-2 + 2(-3)
keeping all the signs and proper places
hope this helped and is what you were looking for!!
De
buy?
5. A department store is running a special on
shirts. A 3-pack costs $10.95, while a 6-pack
costs $19.95. Which is the better buy?
A
B.
Answer:
B
Step-by-step explanation:
Write an equation that represents the line
he general equation of a line is y = mx+b
m is the slope of the line that you can figure out using the equation: m = (y2-y1)/(x2-x1)
m = (4-2)/(4-1) = 2/3
y = 2/3x+b and you can use either point given to find b:
1) 4 = 2/3(4)+b => b = 4-8/3 = 4/3
2) 2 = 2/3(1)+b => b = 2-2/3 = 4/3
The equation becomes: y = 2/3 x + 4/3
Write -3.5 as a mixed number.
Write each decimal number as a fraction or mixed number in simplest form?
Answer:
x = [tex]\frac{26}{99}[/tex]
Step-by-step explanation:
0.26 bar
100x = 26.26...
-x - 0.26..
99x = 26
x = 26/99
x = [tex]\frac{26}{99}[/tex]
Can someone help me?
Answer:
30x-43+12x+13=180°(Linear pair)
42x-30=180°
42x=210
x=5°
2 x^4 "-13x^3" +19x^2 +5x +1 = (x-4)(Ax+1)(x^2 +Bx +1) +C is true for all the values of x ; Find the values of A, B and C
Answer:
A=2
B=-3
C=-5
Step-by-step explanation:
The highiest coefficient in degree of the polynomial is 2 on the left and 1*A*1,
A=2
Let's make the synthetical division:
[tex]\boxed{A=2}\\\begin{array}{c|c|c|c|c|c}&x^4&x^3&x^2&x&1\\---&---&---&---&---&---\\&2&-13&19&5&1\\x=4&&8&-20&-4&4\\&2&-5&-1&1&-5\Longrightarrow \boxed{C=-5}\\x=-\frac{1}{2}&-1&3&-1&\\2&-6&2&&\\---&---&---&---&---&---\\\end {array}\\\\\\\boxed{2x^4-13x^3+19x^2+5x+1=(x-4)(2x+1)(x^2-3x+1)-5}\\\\\\\boxed{B=-3}\\[/tex]
Please explain this is math homework
Answer:
use math-way. it helps a lot !
Step-by-step explanation:
solve for y
(y-k)h=c
Answer:
y=(x+kh)1/h
Step-by-step explanation:
(y-k)h=c
hy-kh=c
hy=x+kh
y=(x+kh)1/h
HELP THIS IS DUE TODAY HW LESSON 1.3.3 1-99
Answer:
This should be all of them
Step-by-step explanation:
Find f(g(x)] if f(x) = x^2+ 1 and g(x) = x^5
O (x^5+ 1)²
O (x² + 1)^5
O x^10 + 1
None of these
PLEASE!! Name each angle in as many different ways as possible.
Answer:
You can name an angle by a vertex name, by a number or by the three letters of the two segments forming the angle.
The names of the given angle:
∠Z∠1∠WZX∠XZWStep-by-step explanation:
[tex]\sf \angle \: Z[/tex]
[tex]\sf \angle \: XZW[/tex]
[tex]\sf \angle \: WZX[/tex]
[tex]\sf \angle \: 1[/tex]
