Under his cell phone plan, Joseph pays a flat cost of $66.50 per month and $5 per gigabyte. He wants to keep his bill at $83.50 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Joseph can use while staying within his budget.
Convert equation y = 3x^2 - 24x + 0.5 to vertex form by completing the square.
Answer:
y=3[tex](x-4)^{2}[/tex]-47.5
Step-by-step explanation:
I did it in my notebook.
Homework Help ASAP
Find the difference. Write your answer in the simplest form
3/4 - 3/8
Find the sum. Write your answer in the simplest form
2/7 + 2/5
Answer:
#1. 3/8 and #2. 27/35
Step-by-step explanation:
3/4 - 3/8 change to 6/8 - 3/8 = 3/8 can not reduce
2/7 + 2/5 change to 10/35 + 17/35 = 27/35 can not reduce
Answer:
3/8
Step-by-step explanation:
3/4 - 3/8
= 3*2/4*2 - 3/8
= 6/8 - 3/8
= 6-3/8
= 3/8
Answer:
24/35
Step-by-step explanation:
2/7 + 2/5
= 2*5/7*5 + 2*7/5*7
= 10/35 + 14/35
= 10+14/35
=24/35
CAN SOMEONE PLZ HELP ME
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist fills n cavities, what will be the cost of the visit to the dentist?
Write your answer as an expression.
Answer:
The expression for the total cost of the visit to dentist is T = 50 + 100n .
Step-by-step explanation:
As given
The price of a visit to the dentist is $50.
If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist n cavities .
Let us assume that the total cost of the visit to dentist be T.
Than the expression becomes
T = 50 + 100n
Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .
Help me with this FOIL method.
Someone explain to me how to write an equation out in slope-intercept form in simple terms with examples I'm so confused
Answer:
are you talking about y=mx+b? M would be the slope, and B would be the y intercept, so if we wanted to do, lets say 4,5, we would say y=4x+5, i think,
Step-by-step explanation:
An equation in slope-intercept form looks like this: y = mx+b
In the equation, m is equal to the growth rate of the line on the graph and b represents the y-intercept (where the line meets with the y-axis).
For the line shown in the picture below, the equation is y = 1x + 2 (not exactly but based on estimates). Also, you can ignore the writing on the picture. (0-0')
y = 1x + 2
In this equation. 1 represents the growth rate and 2 represents the y-intercept.
So, when writing an equation, look for these two things:
y-intercept: where the line of a graph meets with the y-axis
growth rate: how much is the line increasing by on the y-axis for every unit on the x-axis?
:3))
Can someone help please
Answer:r
enor
Step-bay-step explanation:
Answer:
See the conversion from decimal to fraction:
13.
-0.2 = - 2/10 = -1/514.
0.55 = 55/100 = 11/2015.
5.96 = 5 96/100 = 5 24/25Healthcare workers often use medicine or surgery to diagnose diseases. study diseases. prevent diseases. treat diseases.
Answer:
D
Step-by-step explanation:
Solve for x.
A
6
B
12
С
14
D
18
Which statement is true regarding the function above?
A) There is a vertical shift 6 spaces up
B) there is a horizontal shift 6 spaces to the right
C) there is a vertical shift 6 spaces down
D) there is a horizontal shift 6 spaces to the left
Answer:
B.there is a horizontal shift 6 spaces to the right
Use inverse operations to solve for x, keeping the equation balanced at all times.
x +7= 20
What do I do?
Can someone plz help
Step-by-step explanation:
A list of all possible outcomes in a given event is:
Sample space
Someone can type 135 words in 3min at rate that rate how many Minutes would it take her to 450 words
What is 1/6 X 3 I need help badly
Answer:
1/2
Step-by-step explanation:
x to the power of 3 plus x to the power of 2 plus x
Answer:
x(x²+x+1)
Step-by-step explanation:
im not surewhat answer u want but take note this is FACTORIZATION
HELP ASAP PLEASE
The expression |-2-(-3) can be used to find the difference between point A and which other point?
A. Point B
B. Point C
C. Point D
D. Point E
Answer:
C. Point D
Step-by-step explanation:
Distance between two points
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
If both points have the same y-coordinate (y=z), then
[tex]d = |w - x|[/tex]
Point A has coordinates (-2,3). Point D has coordinates (-3,3). The distance between them is
[tex]d = | -2 - (-3) |[/tex]
Thus the correct choice is
C. Point D
car travels along the highway to Yuma at a steady speed when it begins it is 400 miles from Yuma after 7 hours it is 50 miles from Yuma which function describes the cars distance from Yuma
Answer:
b) y = 50x + 400
Please give brainliest! trying to get my rank up!
Step-by-step explanation:
Answer:
B. Y=50x+400
Step-by-step explanation:
ayuda pliss.. una enpresa de alimentos quiere vender durante un trimestre 72.780 cajas de jugos si en un mes vendio 36.210 cajas y en el siguiente 24.955 cajas cuantas csjas de jugos debe vender en el tercer mes
Answer:
la respuesta es (11.615)
Need help plz!!!
000000000000000000000
Answer:
B.
Step-by-step explanation:
An input can ONLY have 1 output (meaning the input cannot have multiple outputs) or else it's not a function. Different inputs can have the same outputs.
formulas A=bh/2 A=bh and I have 6in 4in 6in 10in and I have to find the area
Answer:
Lots of "ifs" here.
A=bh/2 is the formula for the area of a triangle.
A=bh is the formula for the area of a rectangle or a parallelogram.
If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2
If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2
Step-by-step explanation:
The Faren family is going on vacation and they need to rent a car. EZ Rentals rental car costs $36 plus an additional 0.42 per mile. a. Write a function that represents the total cost c(m) of m miles. b. Determine how much money the Faren family will spend if they drive 215 miles. *
Answer:
wow bkrioavpoimpmqe
Step-by-step explanation:
find m<RQT please help
Answer:
Step-by-step explanation:
Given r(x) = StartFraction 11 Over (x minus 4) squared EndFraction , which represents a domain restriction on r(x) and the corresponding inverse function? X > 4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answer:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Step-by-step explanation:
We are given that
[tex]r(x)=\frac{11}{(x-4)^2}[/tex]
We have to find the domain of restriction on r(x) and corresponding inverse function.
Let
[tex]y=r(x)=\frac{11}{(x-4)^2}[/tex]
[tex](x-4)^2=\frac{11}{y}[/tex]
[tex]x-4=\sqrt{\frac{11}{y}}[/tex]
[tex]x=\sqrt{\frac{11}{y}}+4[/tex]
[tex]r^{-1}(y)=\sqrt{\frac{11}{y}}+4[/tex]
Now, replace x by y and y by x then, we get
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
The function is not defined at x=4
But,
The inverse function defines for all positive real values.
Therefore, domain of r(x)=x>4 and inverse function
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
Option:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
b
Share 350 in the ratio 3:7?
Answer:
Step-by-step explanation:
ccording to the question
3x + 7x = 350
10x =350
X = 35
Therfore
3x = 35 *3 = 105
7x = 35 *7 = 245
Follow me and mark me as a brainliest
Step-by-step explanation:
let ratio be 3xand7x
now,
3x+7x=350
10x=350
x=350/10
x=35
then,
3x=3×35=105
7x=7×35=245
hope it helps..
Jaden is flying a kite and let’s off 275 feet of string. If the kite is 150 feet above ground and assuming the string is straight, what angle does the string make with the ground, to the nearest degree?
Answer:
≈ 33°
Step-by-step explanation:
So, first, you can draw a visual. Refer to the image attached below:
Using this info, you can use trigonometric ratios. Recall that:
tangent = opposite side/adjacent side
sine = opposite side/ hypotenuse
cosine = adjacent side/hypotenuse
You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.
So:
[tex]sinX = \frac{150}{275}[/tex]
However, we're not trying to find sinX, we're trying to find X.
So we would have to use inverse sine, which would then be:
[tex]X = sin-1 (\frac{150}{275} )[/tex]
Put this into your calculator, and:
X ≈ 33.05573115...
The diagram shows a vector of a circle centre O and radius 6 cm. Mn is a chord of the circle. Angle MON is 50degrees. Calculate the area of the shaded segment. Give your answer to three significant figures
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = [tex]\frac{OP}{ON}[/tex]
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = [tex]\frac{PN}{ON}[/tex]
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = [tex]\frac{1}{2}(OP)(MN)[/tex]
= [tex]\frac{1}{2}(5.438)(5.071)[/tex]
= 13.788 cm²
Area of sector OMN = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = [tex]\frac{50}{360}(\pi )(6^{2})[/tex]
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
Answer:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = \frac{OP}{ON}ONOP
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = \frac{PN}{ON}ONPN
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = \frac{1}{2}(OP)(MN)21(OP)(MN)
= \frac{1}{2}(5.438)(5.071)21(5.438)(5.071)
= 13.788 cm²
Area of sector OMN = \frac{\theta}{360}(\pi r^{2})360θ(πr2)
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = \frac{50}{360}(\pi )(6^{2})36050(π)(62)
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
Susana runs 2 3/4 miles every 1/4 hour. Enter the number of miles Susana can run in 1 hour
Answer:
Step-by-step explanation:
If Susana runs 2 3/4 miles per 1/4 hour
in one hour
2 3/4=11/4
1h=11/4 *4=11 miles
11 miles/hour
Select the two values of x that are roots of this equation.
3x - 5 = -2x2
O A. x= 1
O B. x=-
x= -2
NIU
O C. x= 2
D. x= -1
3
Help please
Answer:
x = 1 or -5/2
Step-by-step explanation:
-2x^2 - 3x + 5 = 0
multiply all through by -1
2x^2 + 3x - 5 = 0
....... 2x^2 × 5 = 10x^2 = +5x × -2x
(2x^2 + 5x)-(2x - 5) = 0
x(2x + 5) - 1(2x + 5) = 0
x - 1 = 0 or 2x + 5 = 0
x = 1 or 2x = - 5
x = 1 or -5/2
Alice arranges 42 blocks in 7 equal rows.how many blocks are in each?
Answer:6
Step-by-step explanation:
The total number of blocks is 42 and the number of rows is 7. So the equation would be 42 ÷ 7. So, 42 ÷ 7 = 6. There are 6 blocks in each row
Arianna went to the store to buy some chicken. The prince per pound of the chicken is $5.75 per pound and she has a coupon for $3 off the final amount. With the coupon how much would arianna have to pay to buy 4 pounds of chicken
Answer:
$20
Step-by-step explanation:
If you buy 4 pounds of chicken, you multiply 5.75 times 4. That gives you $23. You have a coupon for $3 off the final amount. $23-$3 = $20.
Answer:
20
Step-by-step explanation:
(5.75x4)-3
23-3
20
