Three points must be removed from this graph so that it will be a function
How to determine the number of points?The points are given as:
(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2).
For a set of point to represent a function;
Each x coordinate must point to only one y coordinate
From the given points, we have the following highlights:
The x value -3 has two y values (2 and 3)The x value 1 has two y values (4 and -4)The x value 2 has two y values (-4 and -2)In the above highlights, one point each must be removed.
This means we have a total of 3 points
Hence, three points must be removed from this graph so that it will be a function
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Answer:
C. 3 points
Step-by-step explanation:
Help quick!
An unknown number is not equal to 4.98 but rounds to 4.98 when rounded to the nearest hundredth. Which of the following could be the unknown number?
4.999
4.992
4.986
4.984
Answer:
the answer is 4.979
Step-by-step explanation:
Answer:
The answer is 4.979
Step-by-step explanation:
Can someone please help me its the second time im asking this
Answer:
see the attachment photo!
Olive has raised $3,428 to buy toothpaste to place in care packages. Each tube costs $2. Abut how many tubes of toothpaste can she buy? Choose the best estimate.
Answer:
I think the answer is 1,714 tubes
Step-by-step explanation:
Solving for interior angle measures, what is the m
Using the triangle sum theorem, the value of angle ACB in the triangle is: B. 50°.
What is the Triangle Sum Theorem?According to the triangle sum theorem, the sum of all the angles in a triangle equals 180 degrees.
90 + 7x - 20 + 4x = 180
70 + 11x = 180
11x = 180 - 70
11x = 110
11x/11 = 110/11
x = 10
m∠ACB = 7x - 20
Plug in the value of x
m∠ACB = 7(10) - 20
m∠ACB = 50° (option B).
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please help me grades are do today
Answer:
28
Step-by-step explanation:
[tex]sin=\frac{opp}{hyp}[/tex]
[tex]cos = \frac{adj}{hyp}[/tex]
[tex]cos^{-1}\left(\frac{45}{51}\right)[/tex]
which is 28.07 degree
[tex]sin\left(28.07\right)=\frac{x}{51}[/tex]
x= 23.99
23.99+4=h=28
When an apple is dropped from a tower 256 feet high, the function h(t) = -16t2 + 256 models
the height of the apple, in feet, after t seconds. Determine, algebraically, the number of second
it takes the apple to hit the ground.
The number of second it takes the apple to hit the ground is 4 seconds
To answer the question, we need to know what functions are
What are functions?Functions are mathematical equations that show the relationship between two variables
Given that when an apple is dropped from a tower 256 feet high, the function h(t) = -16t² + 256 modelshe height of the apple, in feet, after t seconds.
Time it takes the apple to hit the groundThe time it takes the apple hits the ground is when h(t) = 0
So, h(t) = 0
-16t² + 256 = 0
-16t² = -256
t² = -256/-16
t² = 16
t = ±√16
t = ±4
Since t ≥ 0, t = 4 seconds
So, the number of second it takes the apple to hit the ground is 4 seconds
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factored form of x^2+12x+36
Peter built a chest that measures 2 feet by 11
2
feet by 1 foot. He wants to fill the chest with plastic coins.
A prism has a length of 2 feet, height of 1 foot, and width of 1 and one-half feet.
What is the maximum amount of space that the chest can hold?
The maximum amount of space is
cubic feet.
Answer:
3
Step-by-step explanation:
got it on edge
When surveyed, the ratio of students who preferred Science class to English class was 5:4. If 90 students were surveyed, how many students chose Science?
50 students preferred science...
Explanation:
we can consider the numbers 5 and 4 in the ratio as units
now we need to know how much each unit represent
units = 5 + 4 = 9
my sample = 90 students
each unit = 90/9 = 10 students
so each unit represents 10 students
back to the ratio
who preferred science = 5
who preferred English = 4
Number of students choose Science = 5 * 10 = 50
Mango has 2.5% salt content per gram. How many grams of Mango does it take to produce 9 gram of salt? Show your work.
Answer:
360 g
Step-by-step explanation:
Amount of Salt = 2.5% x Amount of Mango
Taking 9 g as the amount of salt :
9 g = 2.5% x Amount of MangoAmount of Mango = 9/0.025Amount of Mango = 9 x 40Amount of Mango = 360 g15% of what number is equal to 9
Answer:
9 is 15% of 60.
Step-by-step explanation:
[tex]\text{Formula}=\frac{\text{Number x 100}}{\text{Percent}} =\frac{9 \times100}{15} =60[/tex]
Following shows the steps on how to derive this formula and find out 15% of what number is 9.
Step 1: If 15% of a number is 9, then what is 100% of that number? Setup the equation.
[tex]\frac{9}{15} = \frac{Y}{100}[/tex]%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
[tex]15Y=6\times100\\15Y=600[/tex]
Y = [tex]\frac{600}{100} =60[/tex]
The requried 15% of 60 is equal to 9, as of the given percentage situation.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
To find the number that 15% of is equal to 9, we can set up a proportion:
15% of x = 9
Converting 15% to a decimal:
0.15x = 9
Dividing both sides by 0.15 gives:
x = 60
Therefore, 15% of 60 is equal to 9.
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Please help me, greatly appreciate it!
Answer: See the screenshots below
I'm answering in this format because the questions aren't numbered, so its hard to reference them consistently (so we're both on the same page).
All decimal values are approximate. I decided to round to 4 decimal places, but feel free to use another level of precision.
If the sales tax rate is 9.75 % in California, then how much would you pay in Los Angeles for a pair of shoes that cost $39.00?
Answer:
$42.80
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9.75%/100 = 0.0975 per year.
Solving our equation:
A = 39(1 + (0.0975 × 1)) = 42.8025
A = $42.80
The total amount accrued, principal plus interest, from simple interest on a principal of $39.00 at a rate of 9.75% per year for 1 years is $42.80.
Answer:
Sales tax is $3.8. So total would be 39.00+3.8= $42.8
Step-by-step explanation:
In Walter's class, 14 of the 25 students ride the bus. In Sasha's class, 11 of the 20 students ride the bus. Which class has a greater percent of students who ride the bus?
The class which has a greater percent of students who ride the bus is Walter's class
How to find percentage?Walter's class:
14 of the 25 students ride the busPercentage of students who ride bus = 14 / 15 × 100
= 0.933 × 100
= 93.3%
Sasha's class:
11 of the 20 students ride the busPercentage of students who ride bus = 11 / 20 × 100
= 0.55 × 20
= 55%
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help please I dont have any time left
Answer:
The distribution of the ages of vice president shows that the youngest age is about 36 while the oldest age is around 72. The median age of vice president is 53. On the lower end, the common age is 48 while the age of 60 is upper median age.
solve. -16 < 3x + 5 < 14
Answer: -7 < x < 3
Step-by-step explanation:
-21 < 3x < 9
-7 < x < 3
The bus will be early, on time, or late. these are the only three outcomes, so the probability that the bus will be late is 1/3.
what is wrong with sasha's argument?
Answer:
Sasha has used the theoretical probability which assumes that all the possibilities have an equal chance of occurring but in reality, the chances of each probability happening are not going to be equally split with the chances of the bus being on time being slightly higher than being early or late. This is called the experimental probability where you actually test out the probability of the bus being on time, early or late which is much more accurate than the general, theoretical probability.
Tyger buys his car for $6900 he spends some Time repairing it and improving it. He sells it for $9200. What is his percentage profit?
If Tyler sold his car for $9200, then the approximate percentage profit for this product is 33.3%.
How to calculate the percentage?Final price - initial price
$9200 - $6900 = 2300Calculate the percentage $2300 is equivalent to by using the information you already have.
6900 = 1002300 = xx= 100 x 2300/ 6900x= 33.3%33.3% is the profit percentage.
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What is the area of the shape
The area of the shape is 180 square feet if the length of the diagonals are 20 and 18 ft respectively, option (a) is correct.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.
We know the area of the kite = pq/2
Where p and q are the length of the diagonals
p = 10+10 = 20 ft
q = 7+11 = 18 ft
Area = (20×18)/2
Area = 180 square feet
Thus, the area of the shape is 180 square feet if the length of the diagonals are 20 and 18 ft respectively option (a) is correct.
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What is the slope of the line y = x + 1?
Answer:
The slope of the line y = x + 1 is equal to 1.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form:
[tex]\displaystyle y = mx + b[/tex]
Step-by-step explanation:
Step 1: Define
Identify given equation.
[tex]\displaystyle y = x + 1[/tex]
Step 2: Find Slope m
Let's compare our given equation to the general equation Slope-Intercept Form to identify our values for slope m and y-intercept b:
Compare:We can see that our y-intercept b is equal to 1. Let's rewrite our given expression:
Rewrite:Here, we can identify our slope m to be 1.
∴ the slope of the given line is equal to 1.
___
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___
Topic: Algebra I
A principal of $3900 is invested at 7.5% interest compounded annually how much will the investment be worth after 9 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3900\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=3900\left(1+\frac{0.075}{1}\right)^{1\cdot 9}\implies A=3900(1.075)^9\implies A\approx 7477.23[/tex]
How do I solve this using Sin or Cosine law?
Those two have both two formulas but when dealing with a not-right triangle which is a particular case you use this formula for sines.
[tex]\frac{SinC}{c} =\frac{SinR}{r}[/tex]
Substitute
Note: the capital letters are for the angles and the small letter are for the sides.
But since we used side R and there is no angle to substitute. you will basically have to find it by adding the two angles given and subtracting it by 180, which is a 100.
[tex]\frac{Sin(7)}{1.9} =\frac{Sin100}{x}[/tex]
now you do the butterfly method or cross multiplication method.
[tex]xsin(7)=1.9sin(100)[/tex]
You have to isolate the x
[tex]\frac{xsin(7)}{sin(7)} =\frac{1.9sin(100)}{sin(7)}[/tex]
now cancel and plug the right side of the equation into your calculator and u get the answer for the missing side.
[tex]x= 15.35[/tex] or if u want to round it [tex]15.4[/tex]
<R = 100 and side CK= 15.35 or 15.4
Hope I helped! ^w^
TheOneAndOnlyLara~
Translate the shape A four squares right and two squares up.
What are the coordinates of the vertices of the image?
If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-3, 6), (-3, 3) and (-1, 3)
Translation of coordinatesTranslation is a way of changing the position of an object on the xy plane
Given the coordinates of the vertices (1, 4), (1, 1), (3,1)
If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-3, 6), (-3, 3) and (-1, 3)
Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.
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John borrowed $ from bank for 3 years at a rate of 10%
a) Find the simple interest
b) Find the the total amount paid
[tex]\large\boxed{Formula: I= \frac{PRT}{100}}[/tex]
First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).
[tex]12500×10×3[/tex]
[tex]=375000[/tex]
Now, we'll have to divide the amount (375000) by 100.
[tex]\frac{375000}{100}[/tex]
I=$3750
Now, we can find the total amount paid.
[tex]\large\boxed{A=SI+P}[/tex]
Let's substitute according to the formula.
[tex]A=3750+12500[/tex]
A=$16250
Therefore, simple interest is $3750 and $16250 was paid in total.
help me help now !!!
I need the answer for question 2 now help!!
Answer:
10 degrees
Step-by-step explanation:
A straight line equals 180 degrees. We already know we have 110 degrees, so we subtract 180-110 and get 70. Now, we can set up an equation:
We have to isolate x, so divide both sides by 7
70=7x
_____ = 10=x
7
x=10 degrees
Hope this helps!
Please help me with this
Answer:
Point C
Step-by-step explanation:
Answer: Point C
Step-by-step explanation: I hope this helped! :D
Vanessa uses the expressions (3x² + 5x + 10) and (x² – 3x - 1) to represent the length and width of her patio.
Which expression represents the area (w) of Vanessa's patio?
a) 3x4-4x³-8x²-35x-10
b) 3x4+14x³+22x²+25x-10
c) 3x4-4x³+22x²+35x+10
d) 3x1+14x³+28x²+35x+10
I’m not really the best at math, my apologies. Thank you.
Answer:
a) 3x⁴-4x³-8x²-35x-10
Step-by-step explanation:
3x2(x²-3x-1)+5x(x²-3x-1)+10(x²-3x-1)
3x⁴-9x³-3x²+5x³-15x²-5x+10x²-30x-10
3x⁴-9x³+5x³-3x²-15x²+10x²-5x-30x-10
3x⁴-4x³-8x²-35x-10
The expression 3x⁴ + 11x³ - 15x² - 40x - 10 represents the area (w) of Vanessa's patio
What is Expression?An expression is combination of variables, numbers and operators.
The area (w) of Vanessa's patio can be found by multiplying the length and width expressions:
w = (3x² + 5x + 10)(x² – 3x - 1)
Expanding this expression using the distributive property, we get:
w = 3x⁴ - 4x³ - 8x² + 15x³ - 25x² - 10x + 10x² - 30x - 10
Simplifying this expression, we get:
w = 3x⁴ + 11x³ - 15x² - 40x - 10
Hence, the expression 3x⁴ + 11x³ - 15x² - 40x - 10 represents the area (w) of Vanessa's patio
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A survey found that 3 out of 100 randomly selected people have red hair. How many people in a group of 12,000 randomly selected people are likely to have red hair?
Answer:
360 people out of 1200 are likely to have red hair.
Step-by-step explanation:
So I just saw that 100 x 120 equals 1200. So I just need to multiply 3 x 120 and I got 360. I think this is how to solve?
Mark is planning to swim the 200-yard freestyle event at the next
swim meet. The host team measures distance using meters. How
many meters will Mark swim
in this event?
Serena bought a video game on sale for $23.88. The original price was $44.69. How much
money did Serena save buying the game on sale?
Answer:
i just need points
Step-by-step explanation:
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