Answer:
This equation has 2 solutions.
1. [tex]x=\frac{-15+\sqrt{89}}{8}[/tex]
2. [tex]x=-\frac{15+\sqrt{89}}{8}[/tex]
If f (x) = 3x²-x, find f (-2).
Answer:
f(-2) = 14
Step-by-step explanation:
put -2 where x is
f(x) = 3x²-x
f(-2) = 3(-2)²-(-2)
f(-2) = 3(4)+2
f(-2) = 12+2
f(-2) = 14
what is the slope of the line graphed
Answer: undefined
Step-by-step explanation:
The slope of a vertical line is undefined because there is no rise/run and the slope formula would give you something over 0, which is undefined
Answer:
undefined
Step-by-step explanation:
the slope of the line graphed (a vertical line) is undefined.
No matter how large we set out slope, we will never reach a vertical slope. As we approach infinity, we will get closer, and closer, but we can never fully have a slope of a vertical line.
A slope of 1 means that we move up 1, over 1. A slope of 2 means that we move up 2, over 1. Even if we move up 5000, we still move over at least slightly (with a slope).
It is undefined because it does not run horizontally.
5 pts
Question 5
A model rocket is launched 25 feet from you. When the rocket is at height h, the
distance d between you and the rocket is given by d = √216 +h2 where h and d
are measured in feet. What is the rocket's height when the distance between you and
the rocket is 100 feet? Round to 3 decimal places
Question 6
5 pts
The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet
How to determine the rock's height?The function is given as:
d = √216 +h²
At a distance of 100 feet, it means that:
d = 100
So, we have:
√216 +h² = 100
Take the square of both sides
216 +h² = 10000
Subtract 216 from both sides
h²= 9784
Take the square root of both sides
h = 98.9
Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet
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Please help me with this?.
Answer:
slope: -3
y-intercept: -2
equation: -3x-2
y intercept is the value of y at x=0
slope is how many units the graph moves per x
equation is (slope)x+(y-intercept)
Your'e at your new high school.....You go into the bathroom and there's students smoking in there. I mean like a real smoke fest. Some of them you know, most you don't as your'e the new freshman. Suddenly, the school security barges in to take everyone who's in the bathroom to the principal's office. You on the other hand was just trying to use the bathroom and never got to lol! You and everyone in the bathroom end up in the office about to get in big trouble. What do you do?
{d(1) = 2.7 d(n) = d(n-1) x (6.1) find the explicit formula for d(n)
d(n) = ?
The explicit formula of the function d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]
How to determine the explicit formula?The function is given as:
d(1) = 2.7
d(n) = d(n-1) x (6.1)
The above means that the function is an exponential function, and it has the following parameters:
First term, d(1) = 2.7
Common ratio, r = 6.1
The explicit formula of an exponential function is:
[tex]d(n) = d(1) * r^{n-1[/tex]
So, we have
[tex]d(n) = 2.7 * 6.1^{n-1[/tex]
Hence, the explicit formula of d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
C and H
Explanation:
All others are not the same shape, they tend to be pointing in different directions.
Answer:
a c h g f
Step-by-step explanation:
May you please help with this, thanks!
Answer:
The standard form of the number will be written as 63 158
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x-6)⁰
54°
4
The measures of the x is 6.
What is angle sum property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given : one angle= 6x-6 and another angle = 54
Using angle sum property, we have
6x-6 + 54 + 90 = 180
6x=180-144
6c= 36
x=36/6
x=6
Thus, value of x is 6.
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Solve the system by substitution. Check your solution.
a minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12
a.
(15, 15)
c.
(13, 12)
b.
(10, 12)
d.
(7, 9)
Please select the best answer from the choices provided
A
B
C
D
The correct answer is option A. Which is the solution of the given equation will be (15,15).
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are solved as:-
a - 1.2b = -3 or a = -3 + 1.2b
0.2a + 0.6b = 12
Put the value of a from equation 1 to the equation second.
0.2 ( -3 + 1.2 b) + 0.6b = 12
-0.6 + 0.24b + 0.6b = 12
0.84b = 12 + 0.6
0.84 b = 12.06
b = 15
Put the value of b in the first equation to find the value of a.
a = 1.2b - 3
a = (1.2 x 15) - 3
a = 15
Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).
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Twelve toy turtles run a race. Each turtle is numbered from 1 to 13. A turtle can move forward one step whenever their number is rolled from the sum of two six- sided number cubes. Who do you think is most likely to win the race? Make an argument to justify your answer.
The turtle that would most likely win the race is the turtle 7
How to determine the turtle with the most chance?The turtles are given as:
Turtle = 1 to 13
When two dice are rolled and the sum of the outcomes are taken, the sample space is:
Outcome Frequency
2 1
3 2
4 3
5 4
6 5
7 6
8 5
9 4
10 3
11 2
12 1
The outcome 7 has the highest frequency of 6
This means that the turtle 7 has the highest chance of winning the race
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40 is 20% of what number? I don’t understand and need a strp by step:(
Answer:
200
Step-by-step explanation:
20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200
Answer:
200
Step-by-step explanation:
40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20
it would help to set up proportions like:
40 20
/ =
x 100
and cross multiply and divide.
Sally won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?
Answer: Sally has 16 friends
Step-by-step explanation:
she has 40 balls
subtract by how many she gave away
40-8=32
she gave 2 to each friend
divide the balls left by 2
32/2=16
Sally has 16 friends
Choose the best description of an irregular polygon.
A. a polygon with unequal angles
B. a polygon with equal sides
C. a polygon with unequal sides and unequal angles
D. a polygon with unequal sides
Answer:
The answer is C
Step-by-step explanation:
Irregular polygons are polygons with unequal sides and angles.
The circumference of a circle is 14 pi cm. What is the area, in centimeters? Express your answer in terms of pi.
Answer: 49π or 153.86
Explanation: To find the R, do 14 divide by 2 because since you're not multiplying pi with it. The circumference formula is 2πr
14 / 2 = 7
7 = Radius
Area of a circle is : πr^2
π(7^2)
π49
----------
π49
153.86
The bearing of point B from point A is 043°. Find the bearing of point A from point B.
The bearing of point A from point B is 223°.
We have given that,
The bearing of point B from point A is 043°.
We have to determine the bearing angle,
Suppose that we have the angle BAD=43 degrees.
So angle CBA=43 degrees.
What is the angle of bearing?
A bearing is an angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing.
For example, 30° clockwise from the north is usually written as 030°.
Angle EBA= 180+∠CBA
=180°+43°
=223°
Therefore the bearing of point A from point B is 223°.
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What is the name of the Platonic solid shown below?
O A. Dodecahedron
OB. Tetrahedron
OC. Octahedron
OD. Hexahedron
The name of the Platonic Solid shown below is a Hexahedron. Option D is correct.
What is a Platonic Solid?A polyhedron with an identical number of faces meeting at each vertex as well as all congruent uniform polygonal faces is referred to as a platonic solid.
In the image attached, the polyhedron has 6 faces with 3 squares in each vertex. Therefore, we can conclude that the platonic solid is a hexahedron.
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Use the following scenario to answer the question below:
When the new book units of fire was released, Johnathan decided to read it in one sitting for his book report. He started at 11:00 a.m. on Saturday morning and read until 8:00 p.m. that night, for a total of 9 hours. For school, however, he needed to record the exact number of minutes he spent reading.
To figure out how many minutes he read, what is a conversion ratio he should use?
[tex]A. \frac{9.30 minutes}{1 hour}[/tex]
[tex]B. \frac{1 hour}{60 minutes}[/tex]
[tex]C. \frac{60 minutes}{1 hour}[/tex]
[tex]D. \frac{60 hours}{1 minute}[/tex]
Answer:
9 hr * 60 min/hr = 540 min. 540 min * 60 sec/min = 32,400 sec. Use the method described by panic mode: round the number down until there is only one non-zero digit left. Here, 32,400 rounds down to 30,000. Now count the number of zeroes; the result is the order of magnitude: 4. (You see this in scientific notation also: 30,000 = 3 × 10^4.)
help i need answers now please thank u if u helped giving brainliest btw
Answer:
[tex]7\frac{1}{6}[/tex]
Step-by-step explanation:
→ Convert all fractions to improper fractions
[tex]\frac{27}{6} +\frac{8}{3}[/tex]
→ Make both of the numerators the same
[tex]\frac{27}{6} +\frac{16}{6}[/tex]
→ Add
[tex]\frac{43}{6}[/tex]
→ Convert to mixed fraction
[tex]7\frac{1}{6}[/tex]
use your graphing calculator to find the equation of the trend line for the scatterplot below. x y 1 18 2 20 3 24 4 30 5 28 6 33
The equation for the scatter plot will be,y=3x+15. Scatter plots are essential for determining relationships, if any, between the values of observable quantities or occurrences.
What is a scatter plot?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection,
if any, between the values of observed quantities or events, scatter plots are crucial in statistics.
The equation of the trend line for the scatterplot below will be y=3x+15.
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Find the value of x so the line that passes through the pair of points has the given slope.
(x, 4) (-3, 8), m = undefined
Answer:
x = - 3
Step-by-step explanation:
using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (x, 4 ) and (x₂, y₂ ) = (- 3, 8 )
m = [tex]\frac{8-4}{-3-x}[/tex]
since m is undefined, then the denominator must be zero, since division by zero is undefined , then equating the denominator to zero
- 3 - x = 0 ( add 3 to both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
What is the factored form of the expression x^2 + 3x-4?
Answer:
(x-4)(x-4)
Step-by-step explanation:
Because the factors of 16 that add up to -8 can be -4 and -4.
Let's plug it in...
16 - 32 + 16 = 0
It works!!!
ANswer is (x-4)(x-4)
Answer: (x-1)(x+4)
the answer
6. Use the following diagram to solve for x:
Please explain.
Answer:
26
Step-by-step explanation:
Angles that form a linear pair are supplementary, and thus have measures that add to 180 degrees.
4x+3+2x+21=180
6x+24=180
6x=156
x=26
After 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44
Answer:
C
Step-by-step explanation:
Keesha buys grapes and bananas. These bills and coins represent the cost of each item. How much did Keesha spend in all? Enter your answer in the box.
The total amount of money spent by Keesha to buy grapes and bananas is equal to $6.38.
How much did Keesha spend in all?
Based on the value of the bills and coins which represent the cost of each item, we would determine the total amount of money spent by Keesha to buy grapes and bananas.
For the grapes, we have:
Cost of grapes = 5 + (1 × 0.25) + (2 × 0.1) + 0.05
Cost of grapes = 5 + 0.25 + 0.2 + 0.05
Cost of grapes = $5.5.
For the bananas, we have:
Cost of bananas = (3 × 0.25) + 0.1 + (3 × 0.01)
Cost of bananas = 0.75 + 0.1 + 0.03
Cost of bananas = $0.88.
Total cost = 5.5 + 0.88
Total cost = $6.38.
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log_3(x) = 3/2 solve for x
Answer:
Step-by-step explanation:
Given
log_3x = 3/2 can be rewritten as
3^1.5 = x
You calculator will give you the simplest answer to this. Look around for a key that looks like ^ or y^x or x^y.
Then you put the base (3) into your calculator and press your y^x key and put in 1.5
Answer:
x = 5.1962
30 points + brainliest for answer: Explain how you can determine which angle of a scalene triangle is the largest and which is the smallest.
The size of the scalene triangle would be larger or smaller
Find the value of
x
y, and
z in the parallelogram below.
A bicycle company is designing women's bicycle frames. The frames can accommodate any woman taller than 54.5 inches. Given that the heights of adult American women are normally distributed, with a mean of 65 inches and a standard deviation of 3.5 inches, what percentage of American women CANNOT use the bicycles designed by this company
Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.
What is Normal Probability Distribution?The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean.Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 65\ \ \sigma= 3.5[/tex]
The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
[tex]z = \dfrac{54.5-65}{3.5}[/tex]
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.
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53° 44°
xº
X=
46°
degrees