Answer:
A. Exactly one solution
Step-by-step explanation:
8x+6y=10
-8x+6y=2
0+12y=12 added two equations together
12y=12
y=1
solve for x
8x+6y=10
8x+6(1)=10
8x=4
x=1/2
A cars gas mileage refers to its rate in miles traveled per gallon of gas. Kara's family is thinking about renting a camper that can travel 3 1/2 miles on 1/3 gallon of gas. Kara wants to know the gas mileage of the camper.
Answer: 10 ¹/₂ miles per gallon
Step-by-step explanation:
The gas mileage of the camper refers to the distance (in miles for this question) that the camper can travel on 1 gallon of gas.
The camper can travel 3¹/₂ miles on ¹/₃ gallons so the mileage is:
= Distance traveled/ Gallons used
= 3¹/₂ ÷ ¹/₃
= 7/2 * 3/1
= 21 / 2
= 10 ¹/₂ miles per gallon
Two of the angles in a triangle measure 100° and 53°. What is the measure of the third angle?
Answer:
27*
Step-by-step explanation:
The angles in a triangle will ALWAYS add up to 180*
can someone please help me
Answer:
y - 24 = - 7(x + 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)
m = [tex]\frac{-53-24}{7+4}[/tex] = [tex]\frac{-77}{11}[/tex] = - 7
Using m = - 7 and (a, b) = (- 4, 24 ) , then
y - 24 = - 7(x - (- 4)), that is
y - 24 = - 7(x + 4)
helpppppp plzzzzzzzzzzzzz
Step-by-step explanation:
gradient=∆y/∆x
y=-2,4
x=0,2
y=-2-4
x=0-2
-6÷-2
Ans:3
select all of the words that represent the answer to a quadratic equation (there are 4 answers).
-x intercepts
-y intercepts
-solutions
-intersections
-roots
-zeros
Answer:
see explanation
Step-by-step explanation:
The words used to represent answers to a quadratic equation are
• x- intercepts
• solutions
• roots
• zeros
Compare the two data sets. Do they have the same center, or is the center of Walden’s data set greater or less than the center of Drake’s data set?
Answer:
Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.
Step-by-step explanation:
(1)/(4p)(x-h)^(2)+k=0
Multiply the equation by 4p. Explain how different values of k affect the number of zeros of the polynomial. Consider k > 0, k = 0, and k < 0. Assume p > 0.
Answer:
Step-by-step explanation:
Given p>0, multiply the equation by 4p: (1/4p)*(x-h)^(2)+k=0
(x-h)^2+4kp = 0
k>0
4kp>0
(x-h)^2 = -4kp
So x has imaginary roots only. There is no real zeros of the polynomial.
k=0
4kp=0
(x-h)^2 = 0
x=h
So x has one real root and the polynomial has one zero
k<0
4kp<0
(x-h)^2 = -4kp
So x has two real roots and the polynomial has two real zeros.
Answer:
Step-by-step explanation:
Assume that and multiply the equation by 4p. Then you obtain the equation (x-h)^2+4pk=0.
1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.
2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.
2) If k<0, then 4pk<0 and the equation has two different solutions and there are two zeros.
Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?
Find the volume of the irregular
figure.
1 cm
2 cm
3 cm
?
cm3
2 cm
1 cm
7 cm
Answer:
252 cm cubed
Step-by-step explanation:
29 cm 3
you multiply 1,2,3 and you get 6 !! and then you do 7,1,2, and you get 14 then you take 6 plus 14 = 20 !!
pls help due tonight
1/4e = 12
help plssss
Answer:
e=48
Step-by-step explanation:
1/4e=12
Multiply both sides by 4;
4*1/4e=12*4
Simplify ;
e=48
Hope this helped!!!
Heather buys 12 patio chairs for $366. Each chair costs the same amount.
Part A
Which equation represents the best estimate for the cost of each chair?
Part B
What is the exact cost of each chair
Heather also buys 12 patio lights for $63. She estimates the cost of each light to be about $5.
She then calculates the actual cost of each light to be $2.40. Use the drop-down
boxes to explain whether her calculation is reasonable
En un hotel hay 4 pisos y en cada piso hay 4 habitaciones. Si en cada habitación hay 4 personas y cada persona hace 4 llamadas telefónicas, ¿Cuántas llamadas se hacen en total?
Respuesta:
Se realizaron 256 llamadas telefónicas
Explicación paso a paso:
Número de pisos = 4
Número de habitaciones por piso = 4
Número de personas por habitación = 4
Número de llamadas telefónicas por persona = 4
Número total de llamadas telefónicas realizadas;
Número total de personas alojadas en el hotel:
Número de pisos * número de habitaciones por piso * número de personas por habitación
(4 * 4 * 4) = 64 personas
Número de llamadas telefónicas realizadas:
64 personas * 4 = 256 llamadas telefónicas
Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve
for x?
3x+5x4
3x+4-5x
3x +4+5x
3x-4-5x
Answer:
=5x⁴+3x
=-2x+4
=8x+4
=-2x-4
Step-by-step explanation:
hope it's help
What is the area of the given circle in terms of pi.
Answer:
First one
Step-by-step explanation:
Answer:
[tex]13.69\pi[/tex]
Step-by-step explanation:
here radius (r)=3.7
What is 2 to the power of 4 written in expanded form
Answer:
(4)2
4×4=16 or
(2)4
2×2×2×2=16
both are correct ☺️
Step-by-step explanation:
hope it helps you have a good day
can someone please help
find the slope/rate of change on graph
Answer:
1/3
Step-by-step explanation:
rate of change is y/x
so take the first y (5) and the first x (15)
and divide them
5/15= 0.333333333...
0.33... is 1/3
Please help, due in 45 minutes.
What is the value of the y-coordinate of the solution to the system of equations 2x + y = 8 and x - 3y = -3?
A: -2
B: 2
C: 3
D: -3
Answer:
B: 2
Step-by-step explanation:
2x+y=8
x-3y=-3
x=3 and y=2
so answer is B: 2
The diagonal of a rectangular tabletop measures 52 inches. If the width is 20 inches, what is the length of the tabletop rounded to the nearest hundredth inch?
See attachment for reply.
4
A student created the function P(t) = 5(1 +4/100)^t to model the population of a town in thousands, t years after 1980. If the student misread the
population in the year 1980 and the correct population in that year was 6,000, what changes should he make in the function?
Change 5 to 6,000
Change 4 to 6,000
Change 5 to 6
O Change 4 to 6
Ο Ο
Answer:
change 5 to 6
Step-by-step explanation:
Out of her 5 gigabyte data plan, Debbie has used 37%. How much data does she have left?
Answer:
3.15GB
Step-by-step explanation:
1000MB = 1GB
1000MB*5 = 5000MB
5000/100*37% = 1850MB USED
SO, 5000-1850 = 3150MB = 3.15GB
Joey and his band have just recorded 14 new songs. The band decides that they want the new songs to form an album. How many ways can the 14 new songs be arranged on the album?
Answer:
87,178,291,200 ways
Step-by-step explanation:
Number of songs = 14
To Form an album with the 14 songs, the number of ways at which the 14 songs can be arranged is obtained by calculating the factorial of the number of songs ;
Number of ways in which the 14 songs can be arranged :
14! = (14 * 13 * 12 * 11* 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) = 87178291200 ways
Arrange the expressions in increasing order of their values.
< <
Answer:
10⁰×10¹-1¹⁰ < 10⁰×10¹×1¹⁰ < 10⁰+10¹×1¹⁰ < 10⁰+10¹+1¹⁰
Step-by-step explanation:
10⁰×10¹-1¹⁰ = 9
10⁰×10¹×1¹⁰ = 10
10⁰+10¹×1¹⁰ = 11
10⁰+10¹+1¹⁰ = 12
A gardener digs a flower bed that is 8 meters long and a meter wide. what is the area of the flower bed
8 meters
To calculate area you multiply length x width. So, 8 x 1 = 8
Question 25 of 25
Use the table to identify values of p and g that can be used to factor
x2 - - 4x - 12 as (x + p)(x + 9).
g
-6
р
2.
-2.
3
-3
6
p+q.
-4
4.
-1
1
-4
4
O
A. -2 and 6
B. -3 and 4
C. 2 and -6
D. 3 and -4
The required value of p and q for the factor of the expression x² - 4x - 12 is -6 and 2.
Correct option is (C).
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
x² - 4x - 12.
To determine the factor, solve the expression,
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
Take (x - 6) common,
(x - 6)(x + 2)
According to the given condition, the factors are (x + p)(x + 1)
Compare the values,
p = -6 and q = 2
The values of p and q are -6 and 2.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ1
What do I do.
500.34 + 4333
Answer:
add them
Step-by-step explanation:
500.34 + 4333 =4833.34
18
AB has endpoint A(-2,3) and midpoint M(4,6).
Find the coordinates (x, y) of B.
Answer:
B = (10, 9 )
Step-by-step explanation:
Using the midpoint formula
M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)
[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )
- 2 + x = 8 ( add 2 to both sides )
x = 10
and
[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )
3 + y = 12 ( subtract 3 from both sides )
y = 9
Then B = (10, 9 )
Find the answer for this question
A 5ft tall girl is standing 13ft from a 15ft tall lamppost. How long is her shadow?
Subtract 2x2 + 6x – 5 from 7x2 + 3x + 4.