Answers
Answer:
equation: y = 4x-12
slope: 4
y-intercept: -12
Step-by-step explanation:
3 points across an x-axis is +1 x-axis difference and +4 y-axis away from origin, so you have to subtract 3 by 1 andsubtract y by 4. until x is 0, you get -12 on y-axis
Related Questions
Please help explanation if possible
Answers
9514 1404 393
Answer:
A = 2000(1 +1)^(t/9)
$64,000
Step-by-step explanation:
The growth rate is 100% in 9 years, so the equation can be written ...
A = 2000(1 +1.00)^(t/9)
The amount in 45 years is ...
A = 2000(2^5) = 2000×32 = 64,000 . . . dollars
Solve by taking square roots
X^2 +25 = 0
Answers
Answer:
x = ± 5i
Step-by-step explanation:
x² + 25 = 0 ( subtract 25 from both sides )
x² = - 25 ( since negative the roots are not real )
Take square root of both sides
x = ± \(\sqrt{-25}\) = ± \(\sqrt{25(-1)}\) = ± 5i
This is due in like a hour please help!
Answers
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
the sum log 4(11) + log 8(11) + log 64(11) can be expressed in the form log b(n), where b and n are positive integers, and b is as small as possible. find b +n.
Answers
The sum log 4(11) + log 8(11) + log 64(11) can be expressed in the form log b(n), where b and n are positive integers, and b is as small as possible.The sum of b and n is 13.
1. Use the change of base formula to convert each logarithm to the same base (in this case, base 2):
- log 4(11) = log 2(11) / log 2(4) = log 2(11) / 2
- log 8(11) = log 2(11) / log 2(8) = log 2(11) / 3
- log 64(11) = log 2(11) / log 2(64) = log 2(11) / 6
2. Find the common denominator for the fractions, which is 6:
- (log 2(11) / 2) × (3/3) = 3 × log 2(11) / 6
- (log 2(11) / 3) × (2/2) = 2 × log 2(11) / 6
- log 2(11) / 6 stays the same
3. Add the numerators together:
- (3 × log 2(11) + 2 × log 2(11) + log 2(11)) / 6
- (3 + 2 + 1) × log 2(11) / 6
- 6 × log 2(11) / 6
4. Cancel out the 6 in the numerator and denominator, resulting in log 2(11).
5. The sum is expressed as log b(n) = log 2(11), so b = 2 and n = 11.
6. Finally, find b + n: 2 + 11 = 13.
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Write an inequality:Carlos was going to sell all of his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought twelve more. How many did he start with if he now has at least 29?
Answers
Answer:
He started with at least 34 stamp collection
Explanation:
Let x represent Carlos' initial stamp collection.
From the question, we're told that he sold half of them, bought twelve more, and currently has at least 29, we can go ahead and set up an inequality as shown below;
\(\frac{x}{2}+12\ge29\)We can go ahead and solve for x following the below steps;
Step 1: Subtract 12 from both sides of the equation;
\(\begin{gathered} \frac{x}{2}+12-12\ge29-12 \\ \frac{x}{2}\ge17 \end{gathered}\)Step 2: Multiply both sides by 2;
\(\begin{gathered} \frac{x}{2}\times2\ge17\times2 \\ x\ge34 \end{gathered}\)From the above, we can say that Carlos started with at least 34 stamp collection
Write the expressions for (s + r)(x) and (s - r)(x) and evaluate (sr)(3) .Suppose that the functions r and s are defined for all real numbers x as follows r(x) = x + 1 s(x) = 3x - 3
Answers
ANSWER:
\(\begin{gathered} (s+r)(x)=4x-2 \\ (s-r)(x)=2x-4 \\ (s\cdot r)(3)=24 \end{gathered}\)STEP-BY-STEP EXPLANATION:
We have the following functions:
\(\begin{gathered} r\left(x\right)=x+1 \\ s\left(x\right)=3x-3 \end{gathered}\)We calculate each operation, just like this:
\(\begin{gathered} (s+r)(x)=3x-3+x+1=4x-2 \\ (s-r)(x)=3x-3-x-1=2x-4 \\ (s\cdot r)(3)=(3x-3)(x+1)=(3\cdot3-3)(3+1)=(9-3)(4)=(6)(4)=24 \end{gathered}\)A 15-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 14 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches feet up the wall. (Round to the nearest hundredth.)
HELPP!!
Answers
Answer:
Step-by-step explanation:
Well certainly friction alone will not hold it there.
c² = a² + b²
15² = 14² + b²
15² - 14² = b²
b² = 29
b = √29 = 5.385164... = 5.39 ft
Help would be kind :)
Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. How many marshmallows did Kimberly have at first?
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Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. Kimberly had 60 marshmallows at first.
What is Kimberly's marshmallows count?Generally, Let's call the number of marshmallows that Kimberly had at first X.
We know that Kimberly had 2 times as many marshmallows as Chris at first, so Chris had X/2 marshmallows.
After eating 15 each, Kimberly had X - 15 marshmallows, and Chris had X/2 - 15 marshmallows.
We also know that Kimberly had 3 times as many marshmallows as Chris after eating 15 each, so
(X - 15) = 3 * (X/2 - 15).
(X - 15) - 3 * (X/2 - 15) = 0
Then, we can simplify the left side of the equation:
X - 15 - 3 * X/2 + 45 = 0
Combining like terms, we get:
-3 * X/2 + X - 15 + 45 = 0
Simplifying further:
-X/2 =-30
X = 60
Therefore, Kimberly had 60 marshmallows at first.
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Hey! i've been working on these questions but I have no idea how to solve this one, could anybody help me? Thanks in advance!
Answers
Answer:
1) \(\boxed{p(x) = x^3-x^2+x-1}\)
2) \(\boxed{p(x) = x^2+x-2}\)
3) \(\boxed{p(x) =- 2x^2+2x+4}\)
4) \(\boxed{p(x) = 2x^2+x-4}\)
Step-by-step explanation:
Part (1)
\(p(x) = x^3-x^2+x-1\)
As we have to determine it by ourselves, this is the polynomial having a degree of 3. p(x) with a degree of 3 means that the highest degree/exponent of x should be 3.
Part (2)
\(p(x) = x^2+x-2\)
This can be the polynomial having the factor x-1 because if we put:
x - 1 = 0 => x = 1 in the above polynomial, it gives us a result of zero which shows us that (x-1) "is" a factor of the polynomial.
Part (3)
\(p(x) = -2x^2+2x+4\)
This can be the polynomial for which p(0) = 4 and p(-1) = 0
Let's check:
\(p(0) =- 2(0)^2+2(0)+4\\p(0) = 0 + 0+4\\p(0) = 4\)
\(p(-1)= -2(-1)^2+2(-1)+4\\p(-1) = -2(1)-2+4\\p(-1) = -2-2+4\\p(-1) = 0\)
So, this is the required polynomial determined by "myself".
Part (4):
\(p(x) = 2x^2+x-4\)
This is the polynomial having a remainder 6 when divided by (x-2)
Let's check:
Let x - 2 = 0 => x = 2
Putting in the above polynomial
\(p(x) = 2(2)^2+(2)-4\\Given \ that \ Remainder = 6\\6 = 2(4) +2-4\\6 = 8+2-4\\6 = 10-4\\6 = 6\)
So, Proved that it has a remainder of 6 when divided by (x-2)
You go to the movies and buy drinks and popcorn for your friends popcorn cost $3 and drinks cost $2 you spent $31 in total you bought 13 items how many popcorn did you buy and how many drinks did u buy ?
Answers
Answer:
5 popcorn and 8 drinks is the answere
9x − 8y = 12 solve for y
y=?
Answers
Answer:
y=9/8x+-3/2
Step-by-step explanation:
Step 1: Add -9x to both sides.
9x−8y+−9x=12+−9x
−8y=−9x+12
Step 2: Divide both sides by -8.
-8y/-8=-9x+12/-8
y=9/8x+ -3/2
10. What angle corresponds with angle XPA?
X
AH
B
→ D
Answers
9514 1404 393
Answer:
angle XQC
Step-by-step explanation:
The angle corresponding to obtuse exterior angle XPA is the obtuse interior angle at the other parallel line: angle XQC. Both angles are "northwest" of their respective intersection points, hence in the same relative position.
The height of a triangle is three more than its base. The area of the triangle is 35
square inches. Give the height of the triangle.
Answers
Answer:
height = 52.5 inches
Step-by-step explanation:
Given information:
h = 3b
area: 35\(in^{2}\)
Formula for area of a triangle: 1/2bh = area
Use given info and formula to solve the problem.
1/2bh = 35
Multiply by 2 on both sides.
bh = 70
As we know h is 3b, substitute them for eachother.
b+3b=70
4b=70
b=17.5
Since h is 3 times b,
h = 52.5
real exponential equation the base B must be positive. graph the equation using basis that are less than one or greater than one to determine any differences. what differences are there if any?
Answers
Let's graph the following functions.
\(\begin{gathered} f(x)=2^x \\ g(x)=(\frac{1}{2})^x \end{gathered}\)The image below shows the graph.
According to the graph, the difference between the function is that f(x) is increasing and g(x) is decreasing, this behavior is caused by the base of the powers, the base 1/2 (between 0 and 1) gives a decreasing exponential function, and the base 2 (greater than 1) gives an increasing exponential function.
Hence, C is the right answer.
True or False: If your friend wants to take 6 hours for the 300 mile drive and you want to take 6 hours for the 240 mile drive, then you are driving faster than your friend.
Answers
Answer: I'm pretty sure this is false.
Step-by-step explanation:
If you are driving the same amount of time as your friend, then you travel the same distance, unless you are going different speeds. The person that travels the most amount of distance would be going faster, in this case your friend.
Please don't quote me on this, I only THINK this is right, not 100%
XYZ is located on the coordinate plane below. If the triangle is transformed following the rule (x, y) to (x, -y), will congruence be maintained? Why or why not?
Answers
Answer: yes
Step-by-step explanation: because it will stay the same
I don't know the answer lol
Answers
Answer:
The answer is B
Step-by-step explanation:
order of operations problem please help
Answers
Answer:
36 .......................
Answer:
1/2
Step-by-step explanation:
Deposit $650 in an account paying an annual simple interest rate of 7.2% find the future value of the investment in dollars after one year
Answers
Answr:
\(\text{ \$696.80}\)Explanation:
Here, we want to find the value of the investment after one year
Mathematically, we have it as adding the deposit with the simple interest
We have that as:
\(I\text{ = }\frac{PRT}{100}\)P is the principal which is $650
R is the rate which is 7.2%
T is 1 year which is the time
Substituting the values, we have it that:
\(I\text{ = }\frac{650\times7.2\text{ }\times1}{100}\text{ = \$46.80}\)Thus, we add the interest to the deposit:
\(\text{ \$46.80 + \$650 = \$696.80}\)Solve the equation algebraically.
400 = 1600 ( 6 -0.5x )
Round your final answers to two decimal places.
Answers
Answer:
400 = 1600 ( 6 -0.5x )
distruibite
9600-800x=400
-9600
-800x=-9200
get rid of negitive
800x=9200
divide by 800
x=11.5
Hope This Helps!!!
PLEASE HELP!!!
Nakeisha is raising money for a school trip by selling lollipops and fruit snacks. The price of each lollipop is $1.50 and the price of each fruit snack is $1.25. Yesterday Nakeisha made $18.25 from selling a total of 13 lollipops and fruit snacks. Determine the number of lollipops sold and the number of fruit snacks sold.
Answers
Answer:
5 lollipops and 8 fruit snacks.
Step-by-step explanation:
Let p = lollipops
Let s = fruit snacks
p + s = 13
1.50p + 1.25s = 18.25
solve p + s = 13 for p
p = 13 - s Plug into the second equation 13 - s for p
1.50(13 - s) + 1.25s = 18.25 Multiply all the way through by 100 to clear the decimal
150(13 - s) + 125s = 1825 Distribute the 150
1950 - 150s + 125s = 1825 Combine like terms
1950 - 25s = 1825 Subtract 1950 from both sides
-25s = -125 Divide both sides by -25
s = 5
There are 5 fruit snacks.
Plug 5 in for s to solve for p
p + s = 13
p + 5 = 13 Subtract 5 from both sides
p = 8
There are 8 lollipops.
The number of lollipops sold and the number of fruit snacks sold are 8 and 5 respectively.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given that the price of each lollipop is $1.50 and the price of each fruit snack is $1.25.
Yesterday, Nakeisha made $18.25 from total of 13 lollipops and fruits.
Let x be the number of lollipops and y be the number of fruits.
Then x + y = 13
Through hit and trial method,
let x = 8 and y = 5
price of 8 lollipops is $12 and price of 5 fruit snacks is $6.25.
Which gives us the total required numbers.
Therefore, 8 number of lollipops sold and 5 number of fruit snacks sold.
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HELPPPP PLEASEEEEEEEEWEE HELPPPPPPPP
Answers
Answer:
calculate the rise over the run.
therefore, it's -8/7
Topic: coordinate geometry
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explain the following composite numbers into product of prime factors.
5929
Answers
Write in standard form.
- 3
3.11 X 10
I
Answers
Answer: -3.11 x 10^ 1
Step-by-step explanation: - 3
3.11 X 10 = -31.1, in decimal form -3.11 x 10^ 1
I
2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
Answers
An Annual is not an example of an agreement.
omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
Answers
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
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Write the equation of a line that is parallel to y=-7x+5 and which passes through the point (-1, -6).
Answers
Answer:
y = -7x - 13
Step-by-step explanation:
When graphing a great website to use is desmos graphing calculator. In it I put in the equation you gave me and the point (-1,-6). When making a parallel equation it should have the same slope as the original problem, so -7. I then set up the equation for y = -7x, since that is what the know and put in numbers to the y-intercept till it matched up with the dot. Making the equation y = -7x - 13
4y^2+4(2y^2-8)=
How to combine like terms
Answers
Answer:
12y² - 32
Step-by-step explanation:
4y² + 4(2y² - 8) = 4y² + 8y² - 32 = 12y² - 32
HELP WHAT IS 2X2 HELP PLZ ITS HARD
Answers
Answer:
4
Step-by-step explanation:
Hardest problem ive ever had to solve. took me awhile.
Answer:
4
Step-by-step explanation:
Times 2 by 2 to get 4. Its the same as adding 2 and two but this doesn't apply to other questions.
Pls help me ASAP due by 12:00 I’ll brainlest
Answers
Answer:
11x-6
Step-by-step explanation:
not good at explanations ig