Answers
[tex]y = x + 4[/tex]
Step-by-step explanation:
Let [tex]P_1(-1, 3)[/tex] and [tex]P_2(0, 4)[/tex] and solve for the slope using the equation
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 3}{0 - (-1)} = 1[/tex]
Therefore, the general slope-intercept form of the equation of the line is
[tex]y = x + b[/tex]
where b is a constant. To solve for it, let's use one of the points. I'll use P2:
[tex]4 = (0) + b \Rightarrow b = 4[/tex]
Therefore, the slope-intercept form of the equation of the line is
[tex]y = x + 4[/tex]
Related Questions
I need help with pre calculus.
Answers
Question 1
Answer: Choice A) -7-----------------
Explanation:
To compute f(g(2)), we'll first need to find g(2).
Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4
This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) = -9
Overall, we can say f(g(2)) = -9
We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2
Lastly, we subtract the results we got:
f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7
==============================================
Question 2
Answer: Choice B) 0-----------------
Explanation:
If you were to graph each equation, you should get what you see below.
The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.
==============================================
Question 3
Answer: Choice B[tex]-2x^2+250x-2000[/tex]-----------------
Explanation:
x = number of scooters made and sold
Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression [tex]150x+2000[/tex]
The cost function is [tex]C(x) = 150x+2000[/tex]. We'll subtract this from the revenue function R(x) to get the profit P(x)
[tex]\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\[/tex]
==============================================
Question 4
Answer: Choice B[tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
-----------------
Explanation:
[tex]g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\[/tex]
I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.
So we start off with the real number line, and poke holes at x = -2 and x = 1.
The notation [tex]x \in \mathbb{R}[/tex] means x is a real number. Then we tack on [tex]x \ne -2, x \ne 1[/tex]
Overall, the domain is [tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
Let's see what happens if we tried plugging x = -1 into this composite function:
[tex](g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\[/tex]
We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.
Every day, Lindsey’s orange juice stand uses 1 ½ bags of oranges. How many days will 4 ½ bags of oranges last?
What Operation please!
Answers
Can someone help I will mark u brilliant
Answers
Answer:
A probability cannot be more than 100%
The income elasticity is +2 and income increases by
20%. Sales were 5000 units, what will they be now?
Answers
Answer:
Step-by-step explanation:
The income elasticity is +2.5 and income increases by 20%. Sales were 5000 units, what will they be now? If the income elasticity is +2.5, income increases by 20% and sales were 5000 units, then the sales will increase by 20%*2.5 = 50% to 7500 units.
Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.
As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.
At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:
"I wisht they'd strike game somewheres, an' go away an' leave us alone."
"They do get on the nerves horrible," Henry sympathized.
They spoke no more until camp was made.
Read this line from the story:
As darkness came on, the hunting-cries to right and left and rear drew closer, ...
What is the purpose of this sentence in the story? (5 points)
It implies a mood of utter despair.
It implies a near tragic event.
It creates a feeling of being trapped.
It creates a sense of action. I AM GIVING 50 POINTS!!!!!!!!!!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
The problem with this kind of question is that the author tells you what you should see in that sentence. The dogs experienced fear. Any other answer you suggest is not what the author means. So you are guessing. It is adding to the notion that the arctic is not a friendly place and you cannot go sunbathing in and be comfortable in the middle of winter.
A is as good an answer as you are likely to get, but I don't think it's right.
solving for G
goal is to isolate the variable by undoing in the reverse of the order of operation.
4=2(3g+2)
Answers
Answer:
g = 0
Step-by-step explanation:
4 = 2(3g + 2) ← divide both sides by 2
2 = 3g + 2 ( subtract 2 from both sides )
0 = 3g , then
g = 0
write clearly please
Answers
Answer: this is 4
Step-by-step explanation: A+b=2+2=4
Write each quotient as a single power.
Answers
[tex]a)\frac{-3^4}{3^4} = -3^{4-4} = -1[/tex]
[tex]b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5[/tex]
[tex]c)\frac{11^9}{11^6} = 11^{9-6} =11^3[/tex]
ok done. Thank to me :>
please help ill mark brainliest
Answers
= 60
( i dont know how to explain it , to many steps lol :3)
Help!! Simplify the expression?
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Answer:
Here is my answer I have solved hope this helps
Can someone help me with both questions I will mark u brilliant
Answers
1. First, he will be climbing 10,000 feet from where he is right now. 10,000 / 1,000 = 10.
-3.6 x 10 = 36 degree decrease.
25 - 36 = -11
At 12,000 feet, the temperature will be -11.
2. First, we need to do 8.80 x 7 = 61.6
61.6 / 4 = 15.4
61.6 - 15.4 = 46.2
He has $26.20 left.
Hope this helps!
WILL GIVE BRAINLIEST!!!!
Answers
Answer:
$319
Step-by-step explanation:
Usually, sales tax is proportional to the amount of the sale, so if the sales tax is a factor of 22/16 times the original tax, then the sale amount must be 22/16 times the original item cost:
(22/16)·$232 = $319
A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15 bagels.
Which equation could be used to find n, the total number of bagels the bakery has?
18 + 30 × 20 + 15 = n
18 × 30 + 20 × 15 = n
18 + 30 + 20 + 15 = n
18×30−20×15=n
Choose wisley
Answers
Determine whether each sequence is arithmetic, geometric or neither. Explain.
200, 40, 8,...
Answers
Answer:
Geometric
Step-by-step explanation:
The ratios of the terms are constant
In a computer tape library there are two racks with 50 tapes per rack. On Monday there are 35 tapes in use, on Tuesday 60, and on Wednesday 25. What fraction on the average is in use for the 3 days
Answers
Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5
The average tapes used in those 3 days was:
= (35 + 60 + 25) / 3
= 120 / 3
= 40 tapes
The total number of tapes that can be used are:
= 50 + 50 per rack
= 100 tapes
The fraction of the average is:
= 40 / 100
In the lowest term this is:
= 2 / 5
In conclusion, the fraction is 2/5
Find out more about fractions at https://brainly.com/question/233783.
You are dealt one card from a 52-card deck. Find the probability that you are not dealt a black picture card.
Answers
Answer: 1 in 51
Step-by-step explanation:
Answer:
23/26
Step-by-step explanation:
A standard deck of cards has 52 cards.
The cards are divided into 13 cards of each of 4 suits.
2 suits are black and 2 suits are red.
Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.
The total number of cards in a deck is 52.
52 - 6 = 46
There are 46 cards that are not black suit cards out of 52 total cards.
p(not black face card) = 46/52 = 23/26
Suppose you have 57 coins in a jar consisting entirely of dimes and quarters, worth a total of $10.65. How many dimes are in the jar?
Answers
Answer:
24
Step-by-step explanation:
Let d represent the number of dimes. Then (57-d) is the number of quarters, and the total value (in cents) is ...
10d +25(57 -d) = 1065
-15d +1425 = 1065 . . . . . . simplify
-15d = -360 . . . . . . . . . . subtract 1425
d = -360/-15 = 24 . . . divide by the coefficient of d
There are 24 dimes in the jar.
You start at (5, 0). You move left 1 unit and up 1 unit. Where do you end?
Answers
Answer:
(4; 1)Step-by-step explanation:
Look at the picture.
(x, y)
left 1 unit: (5 - 1 = 4)
up 1 unit: (0 + 1 = 1)
A television is advertised as having a 65-inch measurement. Brenan measures the width of the television while at the store and finds that it is 57 inches wide.
If the space where Brenan plans to hang the television is 32 inches high, will he have enough vertical space to hang the 65-inch television?
Answers
Answer: the answer would be C
Yes, the television is approximately 8 inches shorter than the space.
Step-by-step explanation: My name is Ebenezer Haile
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = 1 to x = 3
Answers
Answer:
c
Step-by-step explanation:
Relative Maxima means "a point that is higher than the points directly beside it on both sides", or when looking at derivatives, when the derivative of a function changes from above zero to below zero. If you're looking at a graph, all you have to do is find those points that seem to be poking out of the graph, aka c, when x=2.
Also look at the interval - (1,3), so... really, just by that, c would be your answer
Pleaseeeee help ASAP thank youuu!!!!!!!
Answers
Substitute the given value of x into the equation 3x+2y+z=13
Substitute the given value of x into the equation 2x+y+3z=9
Simplify the expression
Substitute the given value of x into the equation -y+9z=1
Solve the equation for y
Substitute the given value of y
Simplify the expression
(x,y,z) = (5,-1,0)
Solve the inequality p+4<-24
90 POINTS
Answers
Step-by-step explanation:
p+4<-24
collect like terms
p<-28
[tex]\\ \rm\Rrightarrow p+4<-24[/tex]
[tex]\\ \rm\Rrightarrow p<-24-4[/tex]
[tex]\\ \rm\Rrightarrow p<-28[/tex]
So
[tex]\\ \rm\Rrightarrow p\in (-\infty,-28)[/tex]
Opposite rays form a:
O line
O ray
O point
O plane
5
Answers
Answer:
ray
Step-by-step explanation:
Explanation:
A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. So, together a pair of opposite rays always form a straight line. So line is your answer.
I just need help shouldn't be too hard if you understand it
Answers
Answer:
x =|y| x right = negative x left=+ y up = + y down = -
simplify (x^4-4x^3+9x^2-5x) (x^3-3x^2+7) -30x^2+25x^4
Answers
Answer:
x^7-7x^6+21x^5-13x^3+33x^2-35x
Step-by-step explanation:
there you go!
need help with math problem give 5 stars and a good rating
Answers
Answer:
B,C,D
Step-by-step explanation:
24ft =288 in A IS FALSE
2 miles = 10560 ft B IS TRUE
1/2 miles = 2640 ft C IS TRUE
0.5 miles = 880 Yds D IS TRUE
0.5 ft = 6 in E IS FALSE
Select all of the trip that would take 2 hours
Answers
Answer:
what are your options ??
Step-by-step explanation:
If 3/4 of one of the acute angles of a right-angled triangle is 15 1/4 larger than 1/6 of the other, find the acute angles.
Answers
Answer:
Step-by-step explanation:
A + B = 90
A/6(15.25) = 3B/4
61A/18 = B
18A/18 + 61A/18 = 90
A = 90(18)/79
A = 20 40/79°
B = 90 -A = 69 39/79°
how much solutions does 2x = 2x + 1 have?
Answers
Answer:
no solution
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Solve for t
The equation is in the photo
Answers
Answer:
[tex]\huge\boxed{t=\sqrt{\dfrac{2d}{a}}}[/tex]
Step-by-step explanation:
[tex]d=\dfrac{1}{2}at^2\\\\\dfrac{1}{2}at^2=d\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}at^2=2\cdot d\\\\at^2=2d\qquad|\text{divide both sides by}\ a\neq0\\\\\dfrac{a\!\!\!\!\diagup t^2}{a\!\!\!\!\diagup}=\dfrac{2d}{a}\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}[/tex]