Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answers
Answer:
-3
Step-by-step explanation:
(-3, -1), (-5, 5)
Each point is (x, y).
slope = (difference in y)/(difference in x)
slope = (-1 - 5)/(-3 - (-5)) = -6/(-3 + 5) = -6/2 = -3
The slope is -3
Related Questions
Gilbert plans to invest $14 000 into two types of bonds. one bond yields 8% interest each year and the other bond yields 12% interest each year. he needs to earn $1400 each year to consider the investment successful. how much should he invest in each bond?
Answers
invest in each bond = $7000
What is Profit and Loss?An income statement, also known as a profit and loss account, is one of a company's financial statements and displays the company's receipts and outlays for a specific time period. It explains how revenues are converted into net income or net profit.
According to the given data:
Let n be the amount invested at 8%
the amount invested at 12% would be : 14000-n
so,
8n+12(14000-n) = 1400
8n + 168000 - 12n = 1400 * 100
4n + 168000 = 140000
n = 28000/4
= 7000
Therefore,
At 12% amount invested
= 14000 - 7000
= $7000
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A certain type of thread is manufactured with a mean tensile strength of kilograms and a standard deviation of kilograms. How is the variance of the sample mean changed when the sample size is
Answers
In the case above:
(a) If there is an increased from 64 to 196, then the variance decreases.
(b) If there is a decreased from 784 to 49, then the variance increases.
What occurs if the variance increases?Standard Error is known to be the square root of the variance. if a given variance increases, so its standard error also.
Since the standard error takes place in the denominator, hence, if the standard error increases, the variance goes up.
Therefore, In the case above:
(a) If there is an increased from 64 to 196, then the variance decreases.
(b) If there is a decreased from 784 to 49, then the variance increases.
See full question below
A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilograms. How is the variance of the sample mean changed when the sample size is (a) increased from 64 to 196? (b) decreased from 784 to 49?
What is the variance about?
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how many rectangles of different sizes can be formed from 36 identical rectangles
Answers
The number of rectangles of different sizes can be formed from 36 identical rectangles is 5
Number of rectangles
From the question, we have proofs of;
Total number of identical squares = 36
Now, let the measurement of the side of each square be 1 unit
We have that the formula for area of a square is;
Area of a square = Side × Side square units
We have the area of the square to be;
Area of each square = 1×1 = 1 square units
This is so because the rectangles are identical both in length and width
Let's find the area of the identical squares
Area of total 36 identical squares
= 36×1 square units
= 36 square units
So Area of the rectangle = length × breadth square units
if the rectangles are formed from 36 identical squares then their areas are the same
Total area of required rectangles = 36 square units
It can be written as;
36 = length × breadth
36 = 1×36 36 = 2×1836 = 3×1236 = 4×936 = 6×6(1,36) , (2,18),(3,12),(4,9),(6,6) are the different rectangles formed from 36 identical squares
Total rectangles = 5
Thus, the number of rectangles of different sizes can be formed from 36 identical rectangles is 5
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Select the equation of a straight line that is perpendicular to the line y = 3x - 2.
A y = 3x - 5
B 3y=x+2. C y=- -3x-2 D y= -x/3+2 E y=1\3x-2
Answers
[tex]y = mx + b \\ y = nx + c \\ for \: the \: two \: lines \: to \: be \: perpendicular \\ m.n = - 1[/tex]
[tex]m = 3 \\ \\ 3n = - 1 \\ n = \frac{ - 1}{3} [/tex]
Answer: D[tex]y = \frac{ - x}{3} + 2[/tex]
Miguel created the ratio table below to show how he uses the money he earns at work.
Miguel’s Money
Money Earned
(dollars)
Money Saved
(dollars)
10
8
50
40
120
?
150
120
How much money will he save if he earns 120 dollars?
Answers
The amount of money that Miguel would save when he earns $120 is $96.
How much would Miguel save?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
A ratio table can be described as table that shows equivalent values between two or more numbers and helps us to understand the relationship between the numbers.
The first step is to determine the ratio between the money earned and the money saved.
Ratio = money saved / money earned
8/10 = 0.8
Now, multiply the ratio gotten in the previous step by the amount earned to determine the amount saved.
Amount saved = amount earned x ratio
0.8 x 120 = $96
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Answer:
96
Step-by-step explanation:
I took the quiz edge 2022
Which of the following ordered pairs lies on the graph of h(x) = -2x squared?
(1, 4)
(1, -4)
(1, -2)
Answers
By direct evaluation we conclude that the point (x, y) = (1, - 2) lies on the graph of the quadratic equation h(x) = - 2 · x². (Correct choice: C)
What ordered pair lies on the curve generated by a given function?
In this problem we have three ordered pairs to be checked on a given function by direct evaluation, a ordered pair lines on the curve of function if and only if the x-value of the ordered pair leads to the y-value by evaluating in the function. Now we proceed to evaluate each of the three points at the function presented in the statement:
(x, y) = (1, 4)
h(1) = - 2 · 1²
h(1) = - 2
By direct evaluation we conclude that the point (x, y) = (1, - 2) lies on the graph of the quadratic equation h(x) = - 2 · x². (Correct choice: C)
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Find the sum of 10 x 2 + 7 x + 6 10x 2 +7x+6 and 6 x + 5 6x+5.
Answers
The sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11
Sum of expressionsExpressions are equations separated by mathematical signs. This expressions are known to contains certain unknowns
Given the following expression
10x^2 +7x+6 and 6x + 5
We are to take the sum of both expression to have:
f(x) = 10x^2 +7x+6 + 6x + 5
Collect the like terms
f(x) = 10x^2 + 7x + 6x + 6 + 5
f(x) = 10x^2 + 13x + 11
Hence the sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11
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Mia, Keela And Michelle are selling girl scout cookies.In all they have sold $800 worth of cookies. Mia sold 57 boxes, Keela sold 28 boxes and Michelle sold 15 boxes. How should the girls split the money so that they earn the same fraction as the boxes of cookies that they sold? Should Mia and Michelle get the same amount of money? Why Or Why not?
Answers
Answer:
the money should be split as per each girl sold. total boxes sold is 100.
Step-by-step explanation:
total boxes sold is 100. Mia sold 57/100 keela 28/100 and Michelle 15/100.
mia=456$
keela=224$
michelle=120$
calculated as boxes sold/100 x 800$
what is the parent function of g(x) = 3cos (x + 180°) + 1
Answers
The parent function of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
What are parent functions?Parent functions are the basic function that represents the entire family of that function family
How to determine the parent function?The function is given as;
g(x) = 3cos (x + 180°) + 1
As a general rule, the parent function of any function is the basic equation of the function family
The basic equation of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
Hence, the parent function of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
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A basketball is shot into the air. its height is represented by the polynomial equation h(t) = –16t2 35t 5, where h is the height of the basketball at t seconds. what is the height of the basketball at 0.5 seconds?
Answers
The height of the basketball at 0.5 seconds will be = 26.5
What is a polynomial equation?A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation.
Example of a polynomial equation is: 2x2 + 3x + 1 = 0, where 2x2 + 3x + 1 is basically a polynomial expression which has been set equal to zero, to form a polynomial equation.
According to the given equation if we put value in it we will follow the following steps -
[tex]h(t) = - 16t^{2} + 35t+ 5\\ h(0.5) = -16(0.5)^{2} + 35(0.5) + 5\\h(0.5) = -16(0.25) + 17.5 + 5\\h(0.5) = 4 + 17.5 + 5\\h(0.5) = 26.5\\[/tex]
Therefore, the height of the basketball at 0.5 s will be 26.5
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Answer:
Is the question supposed to be (1.5), if so then the answer would be 21.5
Step-by-step explanation:
ht=-16t^2+35t+5
h(1.5)=-16(1.5)^2+35(1.5)+5
=21.5
Type the missing number in this sequence: 4, , 144, 864, 5,184, 31,104
Answers
The missing number in the given series is 24.
What is missing number in the given sequence?Missing numbers are the numbers that have been missed in the given series of a number with similar differences among them. The method of writing the missing numbers is stated as finding similar changes between those numbers and filling the missing terms in the specific series and places.
Given the series,
4, ?, 144, 864, 5184, 31104
Multiplying with 6 in each term in the given sequence.
4×6 = 24
24×6 = 144
144×6 = 864
864×6 = 5184
5184×6 = 31104
Following the above sequence, we get the 2nd term is 24.
Hence the missing number is 24.
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please help I'm so tired and I need to turn this in tomorrow
Answers
Considering the given box plots, it is found that:
a) They had the same IQR.
b) Athlete A went on the shortest training ride.
c) Athlete B went on more rides longer than 35 miles.
d) Athlete B had a greater median distance.
What is a box plot?It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.
The smallest value.The first quartile.The median.The third quartile.The highest value.Hence, for Athlete A, we have that:
The smallest value is 12.The first quartile is 27.The median is of 29.The third quartile is 34.The highest value is of 45.IQR: 34 - 27 = 7.For Athlete B, we have that:
The smallest value is 18.The first quartile is 32.The median is of 37.The third quartile is 39.The highest value is of 41.IQR: 39 - 32 = 7.Hence:
a) They had the same IQR.
b) Athlete A went on the shortest training ride.
c) Athlete B went on more rides longer than 35 miles(as it is less than his median).
d) Athlete B had a greater median distance.
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17. A bag contains 2x yellow counters, 4x + 6 red counters and 6x - 10 blue counters. a. Write an expression, in terms of x, for the total number of counters in the bag.
The total number of counters in the bag is 44.
b. Work out the number of blue counters in the bag.
c. How many more red counters are there than blue counters in the bag?
Answers
Answer: 12x-4, 14 counters, 8 more counters
Step-by-step explanation: There are 2x yellow, 4x+6 red, and 6x-10 blue counters. We need to add all of this up to get the total number of counters. We first add the x's : 2x+4x+6x = 12x. Then we add the numbers. 6+ (-10) is -4. So, our expression is 12x-4. Next, we need to find out how many blue counters are in the bag. We know that there are 44 total counters and we need to find x because all the counters have x in them. 12x-4 = 44. We first add 4 to both sides to get 12x= 48 and x = 4. blue has 6x-10 counters so, blue has 24-10 = 14 counters. Red has 16+6 = 22 counters. 22-14 = 8 more counters
Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object. find the resultant force acting on the object. magnitude = direction angle =
Answers
The forces have a magnitude of 59 pounds, and their direction angles are zero.
What is the magnitude of force?The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.Magnitude is a term that refers to size or importance. The depth of the Grand Canyon serves as an illustration of magnitude. The scope of the hunger crisis in the world serves as an illustration of magnitude. A measurement of the energy released by an earthquake, as shown on the Richter scale (geology).Two forces of 17 and 42 pounds act horizontally on an object.
i.e
F1 = 17 pounds
F2 = 42 pounds
As the magnitude of the force represents the sum of all the forces
The direction is the same
Magnitude : 17 + 42 = 59 pounds
The Direction angles : 0
As they have the same direction so angle will be 0.
The forces have a magnitude of 59 pounds, and their direction angles are zero.
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Answer:59 and 0
Step-by-step explanation:
EDGE
graph the function
g(x)=3x^2+1
Answers
Answer:
x=1, y=4;
x=2, y=13
Step-by-step explanation:
Please helppppp!!
Question #1 (Question un ) : What is the smallest positive integer k such that k/660 can be expressed as a terminating decimal?
Give BRAINLIST IF ANSWER!!!!!
Answers
Answer:
k = 33
Step-by-step explanation:
Terminating decimal numbers: Decimals that have a finite number of decimal places.
For a decimal to be terminating, the factors of the denominator must only contain 2 and/or 5. As 2 and 5 are prime numbers, use prime factorization to rewrite the denominator.
Prime factorization of 660:
⇒ 660 = 2 × 2 × 3 × 5 × 11
⇒ 660 = 2² × 3 × 5 × 11
Therefore:
[tex]\implies \sf \dfrac{k}{660}=\dfrac{k}{2^2 \cdot 3 \cdot 5 \cdot 11}[/tex]
The fraction will only be a terminating decimal if both 3 and 11 in the denominator are canceled out. To do this, their lowest common multiple must be the numerator:
⇒ LCM of 3 and 11 = 3 × 11 = 33
[tex]\implies \sf \dfrac{33}{660}[/tex]
[tex]\implies \sf k=33[/tex]
Therefore, the smallest positive integer k such that k/660 can be expressed as a terminating decimal is 33.
Answer:
33
Step-by-step explanation:
Which expression is equivalent to the given expression?
Assume the denominator does not equal zero.
a^3b^5 / a^4b
A. b^4 / a
B. a / b^4
C. 1 / ab^4
D. ab^4
Answers
The expression which is equivalent to the given expression by means of evaluation using the laws of indices is; Choice A; b⁴/a.
Which of the answer choice represents an expression which is equivalent to the given expression?The given expression according to the task content is; a³b⁵/a⁴b.
It therefore follows from the laws of indices that each variable can be evaluated by means of their exponents as follows;
a^(3-4)b^(5-1)
Consequently we have;
b⁴/a.
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Alan's bamboo plant adds some flair to his apartment. In four weeks, Alan has trimmed a total of inches off the top of the plant. What is the rate of change in the plant's height in terms of inches per week? Ignore the growth rate of the plant.
Answers
The rate of change in the plant's height in terms of inches per week will be 1 2/3 inches.
How to calculate the rate?Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable.
The calculation for the rate of change is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period.
The change in y (y being the height of the plant) over 4 weeks was 6 2/3 inches and there are four weeks. Therefore, the average height will be:
= 6 2/3 ÷ 4
= 1 2/3 inches
The average rate of change of the plant growth per week was 1 2/3 inches.
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Complete question:
Alan's bamboo plant adds some flair to his apartment. In four weeks, Alan has trimmed a total of 6 2/3 inches off the top of the plant. What is the rate of change in the plant's height in terms of inches per week? Ignore the growth rate of the plant.
a.+1 2/3B)-1 2/3C)+3/5D)-5/2
Carly takes three steps to walk the same distance as jim walks in four steps. each of carly’s steps covers 0. 5 metres. how many metres does jim travel in 24 steps?
Answers
The distance travelled by Jim in 24 step is 9 miles by unitary method.
According to the given question.
The number of steps travelled by Jim = 24
Also, it is given that "Carly takes three steps to walk the same distance as Jim walks in four steps".
Therefore, by unitary mehod we can say that
The number of steps walked by Carly = 3 × (24/4) = 3 × 6 = 18
So, the distance travelled by Carly in 18 steps
= 18 × 0.5miles
= 9 miles
Since, the Carly's 18 steps is equals to Jim's 24 steps.
Therefore, the distance travelled by Jim in 24 step is 9 miles.
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find the size of each of the angles marked with letter
Answers
Answer:
angle l = 115
angle k = 115
angle j = 114
angle i = 66
Step-by-step explanation:
angle l = it is opposite to 115 so its the same
angle k = opposite opposing angles with angle l
angle j = 180-66=114 (between 2 parallel lines the sum of 2 angles is 180)
andle i = 180-114=66 (straight line = 180 degrees so subtract angle j to get i)
im having trouble with this question! pls help
Answers
Using a proportional relationship, it is found that the unit rate of change is of 9.
The relation d = 9t is graphed at the end of the answer.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, we have d as a function of t, hence the relationship is:
d = kt.
When t increases by 0.2, d increases by 1.8, hence the constant is given as follows:
k = d/t = 1.8/0.2 = 9
The relation d = 9t is graphed at the end of the answer.
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Determine what type of model best fits the given situation: A. none of these B. exponential C. linear D. quadratic
Answers
The option c is correct. Linear model suits best to this graphical representation out of the exponential and quadratic model.
According to the statement
We have given that a model in the graphical representation and we have to tell that which type of model used in this representation.
So,
According to this representation,
A linear representation is a representation on a category of vector spaces or similar.
The other meaning is that when the growth increases linearly or at the constant speed.
In this graphical representation, linear representation is used because it increases or decreases linearly not suddenly.
linear representation explain this graph perfectly.
So, Linear model suits best to this graphical representation.
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Which of the following shapes could be formed by taking a longitudinal section perpendicular to the base of a rectangular prism?
Answers
The longitudinal section perpendicular to the base of a rectangular prism is a rectangle.
What is a three dimensional shape?A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.
A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.
A rectangular prism is a three-dimensional shape, having six faces, where all the faces are rectangles.
The longitudinal section perpendicular to the base of a rectangular prism is a rectangle.
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Mrs. Wood is a librarian at Westside Library. In examining a random sample of the library's book collection, she found the following. 716 books had no damage, 68 books had minor damage, and 43 books had major damage. Based on this sample, how many of the 36,500 books in the collection should Mrs. Wood expect to have major damage? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answers
Using proportions, it is found that Mrs. Wood should expect 1,898 books out of the 36,500 to have major damage.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
For this problem, the proportion of books with major damage is:
43/(716 + 68 + 43) = 0.051995.
Hence, out of 36,500 books, the expected amount of books with major damage is:
0.051995 x 36,500 = 1898.
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Bentley's family took a road trip to the Grand Canyon. Bentley fell asleep 59% of the way through the trip. If the total length of the trip was 300 miles, how many miles had they travelled when Bentley fell asleep?
Answers
Answer:177
Step-by-step explanation:so for short, you need to multiply the 300 miles with the 59 precent we have and divide it to 100 this provides us the answer of miles he slept through the road trip
The number of miles they had travelled when Bentley fell asleep is 177 miles.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Bentley fell asleep 59% of the way through the trip.
The total length of the trip was 300 miles.
The number of miles
= 59% of 300
= 59/100 ×300
= 59×3
= 177 miles
Therefore, the number of miles they had travelled when Bentley fell asleep is 177 miles.
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What is the total number of common tangents that can be drawn to the circles
Answers
The total number of common tangents that can be drawn to the circles is 2.
What is a tangent?A tangent serves as line that touches the circle at a single point whereby the point where tangent meets the circle is the tangency.
A tangent to a circle can be described as the straight line that touches the circle at only one point.
Therefore, from the definition, The total number of common tangents that can be drawn to the circles is 2.
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if x : y = 0.75 : 0.90 and y : z = 1/3 : 1/4
(A) simplify the ratio x : y and y : z
(B) find x : y : z
Answers
Step-by-step explanation:
x:y=0.75:0.90
Here,
Dividing by the value of y=0.90,
x:y=0.75/0.90:0.90/0.90
=5/6:1
Similarly,
y:z=1/3:1/4
Dividing by 1/3,we get,
y:z=1:3/4
Now,
X:y:z=5/6:1:3/4
Multiplying by both value of y,0.90×1/3=3/10
x:y:z=5/6×3/10:1×3/10:3/4×3/10
By solving this,
x:y:z=1/4:3/10:9/40Evaluate f(-3) for f(x) = 2^x
a. 1/8
b. -8
c. 8
d. -6
Answers
Answer:
A
Step-by-step explanation:
f(-3) = 2^-3
to get rid of a negative in an exponent, move the whole thing to the denominator.
1/(2^3)
2^3 = 2×2×2
1/(2×2×2)
1/8
How many solutions does the equation −3y 3y 4 = 4 have? none infinitely many one four
Answers
A given linear equation has infinitely many solutions.
What is a linear equation?There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that make a linear equation true and plot those values on a coordinate grid.As much as possible, reduce the equation to y = mx + b. Verify the exponents in your equation. It is nonlinear if it has exponents. Your equation is linear if there are no exponents in it.The definition of a linear equation is an equation with a maximum degree of one.Given: −3y 3y 4 = 4
3y+4=3y+4
The given linear equation satisfies any value of 'y'.
So, A given linear equation has infinitely many solutions.
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Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. what are the minimum and maximum possible values of f(8) − f(3)?
Answers
The minimum value of f(8) - f(3) is 20.
The maximum value of f(8) - f(3) is 25.
In the question, we are given that, 4 ≤ f'(x) ≤ 5 for all values of x.
Taking the given inequality as (i).
We are asked to find the minimum and maximum possible values of f(8) - f(3).
We multiply (i) by dx throughout, to get:
4dx ≤ f'(x)dx ≤ 5dx.
To find this, we integrate (i) in the definite interval [8, 3] with respect to dx, to get:
[tex]\int_{3}^{8}4dx \leq \int_{3}^{8}f'(x)dx \leq \int_{3}^{8}5dx\\\Rightarrow [4x]_{3}^{8} \leq [f(x)]_{3}^{8} \leq [5x]_{3}^{8}\\\Rightarrow 4*8 - 4*3 \leq f(8)-f(3) \leq 5*8 - 5*3\\\Rightarrow 20 \leq f(8) -f(3) \leq 25[/tex]
Thus, the minimum value of f(8) - f(3) is 20.
The maximum value of f(8) - f(3) is 25.
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