Answer:
(x, y) = (-6, -1)
Step-by-step explanation:
-2x + 6y = 6
y = 2x+11
By substituting the value of y (second equation) into the first equation, we get
-2x + 6(2x+11) = 6
-2x+12x+66 = 6
10x = -60
x = -6
So, y = -1
Whats the range and domain
Answer:
the picture wont show up for me sry
Step-by-step explanation:
Please help. I’ll give brainliest
Answer:116.886
Step-by-step explanation:multiply all the sides then devide by 1/2
Answer:
15.312
Step-by-step explanation:
PLEASE HELP ME!!! I WILL MARK THE BRAINLIEST!! A given rational function has a quadratic numerator and a linear denominator. When the function is simplified, the denominator cancels out. The graph will look like:
a- a straight line with a hole
b- two branches with a vertical asymptote and a horizontal asymptote
c- two branches with a vertical asymptote, a horizontal asymptote and a hole
d- a straight line with no hole
Answer:
D A strait line with a hole because when you cancel you will leave a hole
Step-by-step explanation:
b
Graph the following:
y = (x^2 - x - 2) / (x - 2)
First I'll find any vertical asymptotes, by setting the denominator equal to zero and solving:
x – 2 = 0
x = 2
So I have a vertical asymptote
at x = 2.
I'll dash this in:
graph showing vertical asymptote
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Looking at the degrees of the numerator and denominator, I see that the numerator is a quadratic while the denominator is linear. Since the degree is one greater in the numerator, I know that I will have a slant asymptote. But I need to do the long division to find out what the equation of the slant asymptote is going to be.
long division: (x^2 - x - 2) ÷ (x - 2) = x + 1
Hmm... The slant asymptote is clearly y = x + 1, but there is no remainder; the division came out evenly. That's because the numerator happens to factor as (x – 2)(x + 1), so the x – 2 factor divides out evenly and there is no remainder.
In any case, the slant (not horizontal) asymptote is at y = x + 1:
graph showing slant asymptote
Now I'll find the intercepts: Copyright © Elizabeth Stapel 2003-2011 All Rights Reserved
x = 0: y = (0 – 0 – 2)/(0 – 2) = 1
y = 0: 0 = (x2 – x – 2) / (x – 2)
0 = x2 – x – 2
0 = (x – 2)(x + 1)
x = 2, x = –1
I know that I can't have x = 2, as an x-intercept, because this is actually the vertical asymptote. So I'll ignore that "solution" of the above equation.
The intercepts then are
(0, 1) and (–1, 0):
graph showing intercepts
Now I'll plot a few more points. However, since this example is actually a special case of slant-asymptote problem (and something of a trick question), I'll also show you the points for the slant asymptote only.
x y = (x2 – x – 2)/(x – 2) y = x + 1
–6 y = (36 + 6 – 2)/(–6 – 2) = –5 y = –5
–5 y = (25 + 5 – 2)/(–5 – 2) = –4 y = –4
–4 y = (16 + 4 – 2)/(–4 – 2) = –3 y = –3
–3 y = (9 + 3 – 2)/(–3 – 2) = –2 y = –2
–2 y = (4 + 2 – 2)/(–2 – 2) = –1 y = –1
–1 y = (1 + 1 – 2)/(–1 – 2) = 0 y = 0
0 y = (0 – 0 – 2)/(0 – 2) = 1 y = 1
1 y = (1 – 1 – 2)/(1 – 2) = 2 y = 2
2 — y is not defined — y = 3
3 y = (9 – 3 – 2)/(3 – 2) = 4 y = 4
4 y = (16 – 4 – 2)/(4 – 2) = 5 y = 5
Do you see how that, except for the one point where the rational function isn't defined (at x = 2), the two lines are the same? In general, this is not true for rationals. But in this special case — where the long division works out with no remainder — you don't actually even need the asyptote lines dashed in. Instead, you find the slant asymptote equation (in this case, y = x + 1), and you draw that in for the rational graph.
The only difference between the slant asymptote of the rational function and the rational function itself is that the rational function isn't defined at x = 2. To account for this, I leave a nice big open circle at the point where x = 2, showing that I know that this point is not actually included on the graph, because of the zero in the denominator of the rational.
graph of y = (x^2 - x - 2) / (x - 2)
Warning: This graph is not the norm for rationals. But you should expect to encounter one like this, perhaps on the test. I've only ever seen this done with slant asymptotes, but it could be done with horizontal asymptotes, too. Keep in mind that you can't just "cancel off" duplicate factors when graphing rationals; you still need to account for all the zeroes of the denominator.
Note that your calculator will probably not show this hole in the graph, and "TRACE" will probably miss it too, since it is unlikely that x = 2 will be exactly on the pixel that the calculator is processing. But even if the graph does not show the gap in the line, the calculator will show no value for y when x is two.
When I asked my calculator to evaluate y for x = 2, I got this:
screen shot showing apparently connected line
If it just so happens that the vertical asymptote falls on a pixel (rather than between two pixels), then the gap in the graph will display on the calculator's pretty picture.
For instance, when I changed the window settings on my graphing calculator so the x-values ran from –7 to 7 (rather than the default –10 to 10), the gap was (just barely) visible:
screen shot showing gap in graph
When you do these graphs, get in the habit of working methodically through all the steps (vertical asymptote(s), horizontal or slant asymptote, intercept(s), plotted points, and graph), so you can do the graphing easily when you get to the test. And, as you can see above, you will need to know this material well enough that your calculator doesn't mess you up.
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle. (4x) (3x+13)
Answer:
12x2+52x
Step-by-step explanation:
find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')
Answer:
12 and 14
Step-by-step explanation:
Let the even integers be x and x+2
three times the larger number is expressed as 3(x+2)
30 more than the smaller one is x + 30
Equating both expressions
3(x+2) = x +30
Find x
3x+6 = x+30
3x-x = 30-6
2x = 24
x = 12
The second integer is 12+2 = 14
Hence the required integers are 12 and 14
give your answer as mixed fraction and simplest from .
What is the slope of a line parallel to the line whose equation is x+2y=10
Answer: slope =
-1/2
Step-by-step explanation:
Since they are parallel, they will never intersect. The only way this is possible is if they have the same slope. All you had to do was get y by itself and find the number next to the x. Subtract the ten and the 2y and pass them to their opposite sides that way it will be x-10= -2y. After that, divide the -2 by everything on the x side. The final equation is -1/2x -10= y.
find the surface area of the prism
Answer:
I answer should be 148 ft squared
hope this is right :)
Answer:
6x4x5 = that equals.......
What single decimal multiplier would you use to decrease by 19% followed by a 17% decrease?
Answer:
0.81 & 0.83
Step-by-step explanation:
I will give brainliest!!!
The measure of 3 is 101º. Find the measure of 4.
79°
106°
74°
101°
Answer:
79
Step-by-step explanation:
3=1
4=2
3=101
1=101
2 and 4=180-101=79
How many 3/10 are in 6?
Answer:
there are 20
Step-by-step explanation:
there are 60/10 in 6
60/3=20
Answer:
20
Step-by-step explanation:
four friends go out for lunch. Each person orders 1 drink for $1.50 and 3 tacos. The total cost for all 4 people is $24. What is the price of one taco.
▪︎Let x represent the price of one taco. Which equation represents the problem?
1. 4(1.50+x) = 24
2. 4(1.50+3x) = 24
3. 1.50+3x = 24
4. 3(1.50+4x) = 24
Answer:
The answer is B
Step-by-step explanation:
I just got it right on iready
math question || thank uu
Answer:
Step-by-step explanation:
plot an open circle on the 4 and a closed circle on the 10. Then draw a line that goes from 4 to 10.
For a party, you can spend no more than $20 on cakes. Egg cake costs $4 and cream cake costs $2. Write the linear inequality that models the situation.
Answer:
20≤4x+2y
Step-by-step explanation:
Given data
maximum amount to spend= $20
Egg cake costs $4
Cream cake costs $2
let Egg cake be x
let Cream cake be y
Hence the total is given by
20≤4x+2y
Cameron is buying school supplies. He needs 4 notebooks, 5 packs of
pencils and 3 glue sticks. Notebooks cost $3 each, glue sticks cost $2 each
and packs of pencils cost $5 each. Cameron has a coupon to save $4 oft
his entire purchase. Write and evaluate a numerical expression to find the
total amount he will spend on school supplies.
Answer:
I'm pretty sure the answer is $43
lol i need help again on math
Answer:
7
Step-by-step explanation:
you subtract 84 on both sides and then you end up with -6x>-42 divide -6 on both sides and you have 7
Answer: x < 7
Step-by-step explanation:
84 - 6x > 42 First subtract 84 from both sides
-84 -84
-6x > -42
x < 7 Remember when dividing both sides of an inequality by a negative number, the sign flips and becomes its opposite.
In this case > will become <.
helpppppppppppppppp i dont know this
Answer:
f(- 3) = - 16
Step-by-step explanation:
To evaluate f(- 3) with x = - 3 in the interval x ≤ - 2, then
f(- 3) = 5x - 1 = 5(- 3) - 1 = - 15 - 1 = - 16
Please help!!!! 20 points!!! Will give brainliest
Answer:
sorrry but i need points
Step-by-step explanation:
write an equivalent ratio for 1.5 to 3.5
Answer: 0.3 or 0.7 Im not sure.
Step-by-step explanation: But Correct me if i'm wrong :)
A teacher has an annual income of $40,400. The income tax the teacher has to pay is 6.5%. What is the amount of income tax the teacher has to pay?
The price of nails, n, is $1.29/lb. The price of washers, w, is $0.79/lb. The price of bolts, b, is $2.39/lb.
Section a .Write an expression to represent the total price of the supplies
Section b. What is the total cost of buying 2 pounds of nails, 4 pounds of washers and 3 pounds of bolts?
Answer: 1.29n + 0.79w + 3.39b is the expression.
The total cost is $12.91
Step-by-step explanation: Substitute the number of pounds for each given supply. Multiply to get the individual amounts, then add all of those amounts to find the total cost.
1.29(2) + 0.79(4) + 2.39(3) = total
2.58 + 3.16 + 7.17 = 12.91
Answer:
1.29n + 0.79w + 2.39b
1.29(2) + 0.79(4) + 2.39(3) =
2.58 + 3.16 + 7.17 = $12.91
Step-by-step explanation:
(6x10^6) / (2x10^3) solve?
Answer:
3x^999000
Explantiotn
The quotient of A and 3 increased by 4
Please awnser.
Simplify the product using the Distributive Property.
(4r –5)(7r + 2)
A. 28r2 + 43r – 10
B. 28r2 – 27r + 10
C. 28r2 + 43r + 10
D. 28r2 – 27r – 10
Answer:
D
Step-by-step explanation:
the picture pretty much explain it step by step; hope this helped!
PLS HELP ASAP WILL GIVE YOU BRAINLEST
Tell whether each point is on the graph of f(x) = [x]. If it is, give the coordinates of another point with the same y value.
1.(-2.3, -2.3)
2. (11, 11)
3.(15, -15)
4.(0, 1)
5.(1,0)
6.(-8,8)
Answer:
Step-by-step explanation:
Solve 3(x − 4) = 12x
x=?
Answer:
im pretty sure the answer is eight!
Step-by-step explanation:
Answer:
x = -4/3
Step-by-step explanation:
[tex]3(x-4)=12x\\\\3x-12=12x\\\\3x-12+12=12x+12\\\\3x=12x+12\\\\3x-12x=12x-12x+12\\\\-9x=12\\\\\frac{-9x=12}{-9}\\\\\boxed{x=-\frac{4}{3}}[/tex]
Hope this helps!
can someone please help me with this equation? i'll give you the brainliest answer :)
Please answer the question in the picture
Answer: it soo blurry I did not see it
Step-by-step explanation:
Which one would this be on here
Answer:
the second one!
=
Step-by-step explanation:
Solve the proportion! Please show work on how to do it
Answer:
You will use [tex]\frac{1}{4}[/tex] cup of sugar.
Step-by-step explanation:
Given that:
A recipe calls for 3/4 cup of sugar and 1/2 cup of brown sugar.
Ratio of sugar to brown sugar = 3/4 : 1/2
Amount of brown sugar used = 1/6
Amount of sugar used = x
Ratio of sugar to brown sugar = x : 1/6
As the relationship is proportional;
[tex]\frac{3}{4}:\frac{1}{2}::x:\frac{1}{6}[/tex]
Product of mean = Product of extreme
[tex]\frac{1}{2}x=\frac{3}{4}*\frac{1}{6}\\\\\frac{1}{2}x = \frac{1}{8}\\\\x = \frac{1}{8}*2\\\\x=\frac{1}{4}[/tex]
Hence,
You will use [tex]\frac{1}{4}[/tex] cup of sugar.