y=7x
y= 9x²
At how many points in the xy-plane do the graphs of the given equations intersect?
Answers
Answer:
2
Step-by-step explanation:
A line and a parabola will intersect at one point if and only if that point is a point of tangency.
__
Here, we know there is one point of intersection at x=0, but the line has a slope of 7, not 0. It is not a tangent to the parabola, so there must bet two points of intersection.
Related Questions
Describe how the graph of g(X)=4^(x-3) to related to f(X)=4X
Answers
The graph of the given function is exponential and the function is lagged by 3.[tex]g(X)=4^ {(x-3)} \ \ \ \ f(X)=4^X[/tex]
What is a graph?The representation of the function in a relationship on the x and the y coordinates is done on the graph.
Here are the functions [tex]g(X)=4^ {(x-3)}[/tex] and [tex]f(X)=4^X[/tex] are the exponential curves on the graph the function [tex]g(X)=4^ {(x-3)}[/tex] is lagged by 3 as compared to the function [tex]f(X)=4^X[/tex].
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15 men produce 500 watches in 15 working days. How long would it take 45 men to produce 500
watches?
Answers
Answer:
It would take 45 men 5 days to make 500 watches.
Explanation.
for 15 men it takes 15 days.
but if you have 45 men. that is 3x the amount of men.
they will be able to make watches 3 times faster.
just believe me its the right answer.
Please Vote Me Brainliest. Thank You.
(Assuming every single man has the same working rate.)
Solution 1 :
If there is 45 men working, there will be 45 : 15 = 3 times as much men.
So, the amount of time taken will be reduced by 3 times.
=> It will take 15 : 3 = 5 days for 45 men to produce 500 watches.
Solution 2 :
15 men produce 500 watches in 15 days -> If there is only 1 man, it will take 15 x 15 = 225 (days).
If there is 45 men, the amount of time will reduce by 45 times.
So, it will take 225 : 45 = 5 days for 45 men to produce 500 watches.
Steve has overdrawn his checking account by $27. His bank
charged him $15 for an overdraft fee. Then he quickly deposited
$100. What is his current balance?
Answers
He then adds 100 to his account so we would minus 42 from 100 which equals 58 and that’s his current balance
Given g(x) = 5x + 1,
find g(2).
Answers
Answer:
[tex]g(2)=11[/tex]
Step-by-step explanation:
[tex]g(2)=5(2)+1=10+1=11[/tex]
Which words mean the same thing as 5/8
Answers
Answer:
c) Five out of 8 equal parts of a whole
Step-by-step explanation:
The statement "Five out of 8 equal parts of a whole" means the fraction of 5/8. Hence, option (c) is the correct answer.
Answer:
"Five out of eight equal parts of a whole"
Step-by-step explanation:
In a fraction, the numerator (top part) is saying "this number out of the number below it."
The denominator (lower part) is the number below it that we are taking the proportion out of.
A denominator is ALWAYS equal parts, so if we match up the phrase: "5 out of eight equal parts of a whole"
Slope
y = 4x + 3
y = -1x -2
y = -6x - 3
y = -1x + 2
=
#1
#2
Х
Х
Answers
Assuming your asking for two sets of systems of equations.
#1: [tex]{y,x}={-1,-1}[/tex]
Steps:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y - 2
// Plug this in for variable x in equation [1]
[1] y - 4•(-y -2) = 3
[1] 5y = -5
// Solve equation [1] for the variable y
[1] 5y = - 5
[1] y = - 1
// By now we know this much :
y = -1
x = -y-2
// Use the y value to solve for x
x = -(-1)-2 = -1
Solution :
{y,x} = {-1,-1}
2: [tex]{y,x}={3,-1}[/tex]
Steps:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y + 2
// Plug this in for variable x in equation [1]
[1] y + 6•(-y +2) = -3
[1] -5y = -15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
y = 3
x = -y+2
// Use the y value to solve for x
x = -(3)+2 = -1
Solution :
{y,x} = {3,-1}
2) Arrange the four numbers shown from greatest to least. -2.45, 08 -23 -0.8 -2.45
Answers
Answer: 8, -.8, -2.45, -23
Step-by-step explanation:
I think those are all the numbers. You repeated it twice so.
write y=x^2+24x+124 in vertex form. step by step
Answers
Step-by-step explanation:
the general vertex form is
y = a(x - h)² + k
with (h, k) being the vertex of the curve.
after doing all the multiplications we get
y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k
now we have
y = x² + 24x + 124
and we can compare
ax² = x²
a = 1
-2ahx = -2hx = 24x
-2h = 24
h = 24/-2 = -12
ah² + k = 124
(-12)² + k = 124
144 + k = 124
k = -20
so, the vertex form is
y = (x + 12)² - 20
A computer and printer cost a total of $1020. The cost of the computer is three times the cost of the printer.
Find the cost of each item.
Answers
Hey Mate ,
Reading the given statement ,
Let the cost of printer be x and the cost of Computer be 3x
ATQ ,
3x + x = $1020
4x = $1020
x = 255
Therefore , the cost of Printer is $255 and the cost of computer is $255× 3 = $765
You told your friend that you could eat 78 of a large pizza. If you only ate 23 of what you said you could eat, what fraction of a large pizza did you eat?
Answers
Answer:
5/16
Step-by-step explanation:
Fraction of claim is 5/8
But you actually eat 1/2
Fraction of large pizza actually eaten 5/16
Hopefully this is correct and it can help you!
solve the inequility 3x - 3 <9
Answers
Answer:
x<4
Step-by-step explanation:
Here, hope this helped!
A quick tip, just think that the sign is an equal sign, that helps.
Answer: [tex]x < 4[/tex]
Step-by-step explanation:
Our inequality is [tex]3x-3 < 9[/tex]
We will add 3 to both sides. (addition property of equality)
Simplify [tex]9 + 3 9+3 9+3 ~to ~12[/tex].
Then divide both sides by 3. (division property of equality)
[tex]3x[/tex]÷[tex]3 < 12[/tex]÷[tex]3[/tex]
[tex]\frac{3x}{3} < \frac{12}{3}[/tex]
Simplify [tex]312~to~4[/tex].
Given a+b=7 and a-b=3; find the following.
3^a÷3^b
Answers
A standard NCAA basketball has a radius of 4. 78 inches. If Janice’s air tank holds about 4,600 in. 3 of air, how many basketballs can she inflate with it?
Answers
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In a town, 15% of the population is unemployed. what is the
total population, if number of people who are employed is
8381
Answers
Answer:
1479 people
Step-by-step explanation:
If the amount employed is 8381, that means 8381 is 85% of the population. 8381/85 = 98.6
Every 1% of the population is 98.6, so we can just do 15 x 98.6 to get 1479
Answer:
9,860
Step-by-step explanation:
100% - 15% = 85 % = 85/100
85/100 * 8381/x
85x = 838,100
838,100/85 = 9,860
HELP!!!
Which function increases at a faster rate on 0 to infinity,
f(x) = x2 or g(x) = 2x? Explain your reasoning.
=
Answers
Answer:
f(x) is faster
Step-by-step explanation:
In case it is x^2 then f(x) will be faster.
If you draw these two function in the graph. You can see that
Or you can add any value randomly and see that
Ex:
when x = 5
f(x) = 25, g(x) = 10
when x = 20
f(x) = 400, g(x) = 40
when x is 4 times larger. g(x) is 4 times larger while f(x) is 16 times larger
Please help me i don't understand
Answers
The depth of the water x at the deepest point to the nearest hundredth of a metre is 0.5 meters
What is a chord of a circle?A chord of a circle is defined as the line segment joining any two points on the circumference of the circle.
The chord join any two points on the circumference of a circle.
The diameter is a chord that passes through the centre.
Therefore, the diameter is the longest chord of a circle.
The length 1m is a chord of the circular base of the cylinder.
Diameter of the circle = 1.5 meters.
radius = 1.5 / 2 = 0.75 meters
Therefore,
1.5 - 1 = 0.50 meters
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Help with this please i will give brainiest if right
Answers
Answer: 6
Step-by-step explanation:
The scatter plot with trend line below shows the data comparing wind speed and wind chill. Wind Chill (˚F) Wind Speed (mph) The trend line passes through (10, 9) and (35, 0). Write an equation for the trend line. The equation of the trend line is y = x + .
Answers
The trend line passes through (10, 9) and (35, 0) will be 9x + 25y = 315.
What is the equation of a line passing through two points?Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
[tex]\rm (y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
The scatter plot with the trend line below shows the data comparing wind speed and wind chill. Wind Chill (˚F) Wind Speed (mph). The trend line passes through (10, 9) and (35, 0).
Write an equation for the trend line.
(x₁, y₁) → (10, 9)
(x₂, y₂) → (35, 0)
Then we have
y - 9 = -9/25(x - 10)
25y - 225 = -9x + 90
9x + 25y = 315
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Casey is buying snacks for a class trip. She has 16 snacks left over from the last trip. She buys snacks by the case to get a good price. Each case holds 24 snacks. How many cases will she have to buy if she wants to have a total of 160 snacks?
Answers
Answer:
Your answer is 10
Step-by-step explanation:
160 devided by 16 = 10
Sarah has private health insurance that costs $575 per month. Her new employer will provide health insurance at no cost to her. What is her health insurance worth as a benefit of employment?
Answers
Based on the above information, it can be inferred that Sarah saves $6,900 per year.
How to calculate how much Sarah saves per year in health service?Taking into account that her new employer is going to give her a free health service and that before she paid $575 for the health service monthly, to calculate her savings per year we must multiply the value of the health service by the number of months of one year (12).
$575 × 12 = $6,900Based on the above, it can be inferred that Sarah is saving $6,900 per year on health care.
Note: This question is incomplete because the is some information missing. The information is missing
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Find the midpoint of the line segment with the given endpoints
(4,-6), (9, 6)
Answers
Answer:
I think it's number 5 or (5,8)
Step-by-step explanation:
2. If ¡2x+3 = i, where i = V-1, then which of the
following is a solution for x?
(1) x = 16
(3) x = 11
(2) x = 10
(4) x = 14
Answers
I assume you mean the equation
[tex]i^{2x+3} = i[/tex]
Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.
Now just check for which of the given choices that this holds:
x = 16 ⇒ 2x + 3 = 35 (yes)
x = 11 ⇒ 2x + 3 = 25 (yes)
x = 10 ⇒ 2x + 3 = 23 (no)
x = 14 ⇒ 2x + 3 = 31 (no)
Calculate the state income tax owed on a $60,000
per year salary.
tax = $[?]
Answers
Answer:
$5,968.00
Step-by-step explanation:
this is federal tax, we don't know your state's taxes
Angela needs volume of a sphere. Which formula is correct?
The diameter of the sphere is d=17
A 4/3 pi 17 cubed
B 4/3 pi 17 squared
C 4/3 pi 8.5 cubed
D 4/3 pi 8.5 squared
Answers
Answer:
C-------------------------------------------------
To win a lottery, 7 numbers are drawn at random from a pool of 21 numbers. Numbers cannot repeat. If a person has one ticket, what is the probability that they have the winning ticket?
Answers
Answer:
the answer should be 3....this is not right btw
the probability of having a winning raffle ticket is 15%.
On Thursday afternoon at camp, Nora played basketball and went swimming before dinner. She started playing basketball at 2:50 P.M. and played for 1 hour and 45 minutes. Then she swam for 50 minutes. Dinner lasted for 1 hour. What time did dinner end?
Answers
Answer:
6:25 PM
Step-by-step explanation:
Start of dinner
2:50 PM + 1:45 + 0:50
convert it to minutes
2:50PM + 60+ 45 + 50
= 2:50Pm + 60 + (50 + 10) + (45 - 10)
= 4:50Pm + 35
= 4:50PM + 10 + 25
= 5:25PM
End of dinner
5:25PM + 1 = 6:25PM
A filing cabinet measures 5 feet is 18 inches wide and 2 feet deep what is the volume of the filing cabinet
Answers
Answer:
15 feet
Step-by-step explanation:
From the question above,we are asked to find the volume of a cabinet with the following dimensions:
Height is five feet
Width is eighteen inches
And a depth of two feet.
Here it is quite obvious that we ate dealing with a cuboidal object since its dimensions differ from one another.
So volume of a cuboid as we all know is :
Length multiplied by width and then height
We should head straight away to the calculations, but we need to remember that the width is in inches and needs to be converted to feet
1 inch = 1/12 feet
18 inches = 18× 1/12
= 1.5 feet
L×W×H
= 1.5×5×2
= 15 feet
She read a total of 497 pages in 7 days what is the mean number of pages Siriana read each day
Answers
Answer:
71 pages / day
Step-by-step explanation:
You are looking for pages per day so:
497 pages / 7 days = 71 pages/day
The lines that appear tangent are tangent. What is the value of x, to the nearest tenth.
Answers
Answer:
x ≈ 10.7
Step-by-step explanation:
Is given in the picture that x is the radius of the circle.
The radius of a circle and the tangent line to the circle form a right angle, therefore our triangle is a right triangle.
We can apply the Pythagorean Theorem to find one equation that will have one unknown x.
(x+12)² = x² +20² , use that (a+b)² = a²+b²+2ab
x²+12²+2·x·12 = x² +20², subtract x² from both sides of the equation
12² + 24x = 20², subtract 12² from both sides of the equation
24x = 20²-12², raise to power and combine like terms
24x = 256, divide by 24 both sides of the equation
x = 10.6666666..., round to the nearest tenth
x ≈ 10.7
I really need help with this ^-^
Answers
The graph of a function is shown in the picture and the amplitude will be 6
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a trigonometric function:
[tex]\rm y = -6\cos\left(5x\right)-3[/tex]
As we know, the range for the cosx is [-1, 1]
The maximum value of function y = -6cos(5x)—3 is 3 and minimum value is -9.
The amplitude = 6
Thus, the graph of a function is shown in the picture and the amplitude will be 6
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