6 times a number is 27 less then the square of that number find the positive soloution
Answer:
9
Step-by-step explanation:
n2-27=6n
Than n (exponet) 2 - 27 - 6n = 0
Now factor (n-9)(n+3)=0
Solve each system using substitution. Check your answer
x+3=y
3x+4y=7
Answer:
x = -5/7
y = 16/7
Step-by-step explanation:
3x + 4y = 7
3x + 4(x+3) = 7
3x + 4(x) + 4(3) = 7
3x + 4x + 12 = 7
7x + 12 = 7
7x + 12 - 12 = 7 - 12
7x = -5
7x ÷ 7 = -5 ÷ 7
x = -5/7
---------------------------------------
x + 3 = y
(-5/7) + 3 = y
16/7 = y
-----------------------------------------
3x + 4y = 7
3(-5/7) + 4(16/7) = 7
-15/7 + 64/7 = 7
7 = 7
The required value of the x and y by substitution method is -5/7 and 16/7 respectively.
Given,
System of equation
x+3=y
3x+4y=7
To solve using the substitution method.
The equation is the values of two functions that are equal.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
x + 3 = y - - - - -(1)
3x + 4y = 7 - - - -(2)
from equation 1 substitute y in equation 2
3x + 4( x +3 ) = 7
3x + 4x + 12 = 7
7x = 7 - 12
7x = -5
x = -5/7
put this x on equation 1
-5/7 +3 = y
y = 16/7
Thus the required value of the x and y by substitution is -5/7 and 16/7 respectively.
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Halla la ecuación de la circunferencia con r=10 y cuyo centro es el punto medio que une los puntos del segmanto A=(-7,-6) B(3,14). Escribe la ecuación en la forma ordinaria.
Responder:
(x + 2) ² + (y-4) ² = 100
Explicación paso a paso:
La ecuación de un círculo se expresa como (x-x0) ² + (y-y0) ² = r²
r es el radio
(x0, y0) es el centro
Dado que el centro representa el punto medio de (-7, -6) y (3,14)
x0 = -7 + 3/2
x0 = -4/2
x0 = -2
y0 = -6 + 14/2
y0 = 8/2
y0 = 4
Sustituir en la expresión
(x - (- 2)) ² + (y-4) ² = 10²
(x + 2) ² + (y-4) ² = 100
Por lo tanto, la ecuación requerida del círculo es (x + 2) ² + (y-4) ² = 100
Rachel went out for lunch. Her total for lunch came to $28.55. Rachel wants to leave the waitress a 22% tip. What will be Rachel's total including the tip?
Answer:
the answer is 6.28 her total is 34.83
Answer:
the answer is 6.28 hope it helps
A) G
17 + 4x
H
4x+12/
1159
D
A) 12
C) 13
B) 3
D) 14
Answer:
d I do believe good luck with the answer I hope it right
Find the exact value of cos 105degrees
Answer:
[tex] \sqrt{2} - \sqrt{6} [/tex]
over 4
The diameter of a circle is 4 m. Find its area to the nearest tenth.
Answer:
12.6m²
Step-by-step explanation:
radius=2
Area=π2²=12.6(1dp)
Solve for x!!! Please show all work!!!!!!!
PLS HELP WILL GIVE BRAINLIEST!! Identify this set of lines as parallel, perpendicular, or neither.
Answer:
neither
Step-by-step explanation:
Answer:
neither
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have the opposite of the reciprocal of the slope of the other line
The slope of the first line is 3 and the slope of the second line is -3.
If the lines were parallel, the slopes would be the same, so 3 = -3 which is not true, so they aren't parallel.
If the lines were perpendicular, the slope of the second line would be the opposite reciprocal of 3, or -1/3. -1/3 does not equal 3, so these lines are not perpendicular
for almost every choice you make in the game you'll need to choose between using your debit card and credit card. to continue enter the day of month when your credit card statement will be issued! enter amount:
floridasms game
Answer: 19
Step-by-step explanation:
What is the scale factor and how do you find it?
10y + x2, x is 6 y is 4
Answer:
52
Step-by-step explanation:
10y + x2
substitute
10(4)+6(2)
multiply
40+12
add
52
What is the least common multiple of 4 and 10?
Answer:
Step-by-step explanation:
20
Least common multiple (LCM) of 4 and 10 is 20.
Answer:
20
Step-by-step explanation:
jessy took out a loan of $16,500 over 5 years at 4.2% interest to purchase a new car. how much will she pay in interest on the loan. A)$693 B)$3,465 C)$34,650
Answer:
B
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.2%/100 = 0.042 per year,
then, solving our equation
I = 16500 × 0.042 × 5 = 3465
I = $ 3,465.00
The simple interest accumulated
on a principal of $ 16,500.00
at a rate of 4.2% per year
for 5 years is $ 3,465.00.
SOMEONE HELP MEEEEEE
Answer:
144
Step-by-step explanation:
in a triangle xyz the measure angle yxz is 14.5 and the measure of angle xyz is 75 what is the measure of angle xyz in degrees
the answer is 29363
Step-by-step explanation:
hope this dont help
Answer:
10392
Step-by-step explanation:
;$6%6%-%-:-$-&-'-$-
Which of the this is a mathematical translation of "A number increased by 7".
A. a + 7
B. 7 + a
C. 7a
D. 7/a
can u pls help me i need help
im on that to, maybe i can try and help you !!
David earned a raise of an additional $2.00 per hour. Initially, he started at $14.00 an hour. What is the percent increase in David’s hourly pay? Round percentage to the tenths place.
2.1%
Step-by-step explanation:
I don't really know how to explain what I did on paper But I got it right on the assignment : D
The percent increase in David’s hourly is;
14.3%
Percent increaseDavid's initial pay per hour = $14 per hourIncrease per hour = $2Thus;
New amount paid per hour = $14 + $2 = $16
Thus;
Percent increase in David's hourly pay = (2/14) × 100% = 14.3%
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ANSWER THIS PLZZZZZZ
Answer:
B:14
Step-by-step explanation:
can someone please tell me the slope
Answer:
1/3 or 0.333 repeat
Step-by-step explanation:
slope or rise over run
y= -3x + 1 and y= x - 3
Answer:
x= 1
y= -2
Step-by-step explanation:
equation (1): y= -3x+1
equation (2): y=x-3
solve the system of equations by substitution:
step1: sub ( x-3 ) for y in equation 1:
y = -3x+1
x-3 = -3x+1
step2: simplify the equation to get x:
(add 3 for both sides)
x = -3x+4
(add 3x for both sides)
4x = 4
(divide 4 from both sides)
x = 1
step3: sub the value of x (x=1) in equation 2:
y = x-3
y = 1-3
step4: solve the equation to get y:
y = -2
An airplane flies 56 miles due north than 33 miles due east. How many miles is the plane from its starting point?
helppppp! :) i have no clue what to do thank you
SOMEONE HELP PLEASE!! ITS DUE AT 16:00 UK TIME ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
Answer:
From left column to right
Left Right
1. 23a+18 1. 7a-6
2. 23a-6 2. 7a-18
3. 23a-18 3. 7a+6
4. 0a+4 4. 0a+0
Step-by-step explanation:
The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3
Answer is 15a+6+8a+12=
23a+18
Hope this helped :)
Write an expression that is equivalent to -2/5(15 - 20d +50)
Explain please!:)
Answer:
-26 + 4/5d
Step-by-step explanation:
-2/5 ( 15 - 2d + 50)
= -2/5 ( 65 - 2d)
= -2/5 * 65 - (-2/5) * 2d
= -26 - (-4/5d)
= -26 + 4/5d
Three numbers A, B and C are in the ratio 7: 2: 4. The sum of the three numbers is 104. What is the number C?
Answer:
C = 32
Step-by-step explanation:
The numbers are in the ratio 7 : 2 : 4 = 7x : 2x : 4x ( x is a multiplier ) , then
7x + 2x + 4x = 104
13x = 104 ( divide both sides by 13 )
x = 8
Thus C = 4x = 4 × 8 = 32
Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
if h=3, then r=
if r=2, then h=
Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
[tex]9=\frac{1}{3}\pi r^{2}3[/tex]
[tex]\pi r^{2}=9[/tex]
[tex]r^{2}=2.864[/tex]
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]
[tex]h=\frac{9(3)}{4 \pi}[/tex]
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
A veterinarian divided 3/4 of a bottle of medicine equally among some sick cats. She gave each cat 1/4 of a bottle of medicine. How many sick cats were there
Answer:
3 sick cats
Step-by-step explanation:
1/4 times x(number of cats) = 3/4
3 pencils cost $0.45. What is the cost per pencil?
Answer:
$0.15
Step-by-step explanation:
You have
3 pencils: $0.45
divide both numbers by 3
3 pencils / 3: $0.45 / 3
1 pencil: $0.15
Answer:
0.15
Step-by-step explanation:
3÷.45=.15