Answer:
The answer is 3 and (-4).
Step-by-step explanation:
We are given an equation 2x² + 2x – 24.
Let us assume that the equation is equal to zero.
2x² + 2x – 24 = 0
Now, divide whole equation by 2 we get,
x² + x – 12 = 0
x² + 4x – 3x – 12 = 0
x(x + 4) – 3(x + 4) = 0
(x – 3) (x + 4) = 0
x = 3, -4
Thus, The actual roots of f(x) are 3 and (-4).
Answer:
-4 AND 3
Step-by-step explanation:
Please Help! I'll give a brainliest!
Tania is a car salesperson at Yorkshire Motors and earns straight commission on sales. She earns 15%commission on sales of vehicles, service contracts, and accessories. During her first year, Tania's sales totaled $454,000.00. How much money did Tania earn in her first year at the dealership?
Tania earned $_____ in commission the first year.
Answer:
$68100Step-by-step explanation:
Commission = 15% of sales amount
The amount Tania earned is:
$454000*15/100 = $68100Commission is 15% of earnings
Commission:-.
15% of 4540000.15(454000)68100$You supply a good at a price of $5. You also earn a profit at this price. This means that your marginal cost could be _____. $2.00 $5.00 $10.00
[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]
Your answer is..:$[tex]5.00[/tex]
Hopefully, that helps you!!
[tex]OwoSokka[/tex]
8, 14.5, 21, 27.5, 34, 40.5 What’s the next number in the sequence
Answer:
47
Step-by-step explanation:
Determine if the sequence is arithmetic or geometric.
The difference between each term in the sequence is constant, so this is an arithmetic sequence.
To calculate the common difference, subtract one term from the next term:
14.5 - 8 = 6.5
21 - 14.5 = 6.5
27. 5 - 21 = 6.5
34 - 27.5 = 6.5
40.5 - 34 = 6.5
So the common difference is 6.5
To find the next term in the sequence, add 6.5 to the last term given:
40.5 + 6.5 = 47
i need help it is overdue ):
Answer:
x = 4[tex]\sqrt{3}[/tex] , y = 4
Step-by-step explanation:
using the cosine and sine ratios in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 8 ( divide both sides by 2 )
y = 4
2x - 5 = 3 what does X equal to?
What type of triangle is defined by the following set of side lengths
11, 9 , 7
Question 4 options:
Acute
Obtuse
Right
Not a triangle
Answer:
it looks like a triangle but it is not it is called a Nonigon
How much closer is it to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington?
Answer:
40m
Step-by-step explanation:
The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137
137 - 97 = 40
So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington.
IMAGE IS DOWN BELOW
SOMEONE PLEASE HELP ME WITH THIS
ILL GIVE YOU BRAINLIST ANSWER
Answer:
13.0 cm
Step-by-step explanation:
We proceed by Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
We are given a = 1 and b = 13
[tex]1^2 +13^2 =c^2\\c=\sqrt{170}\\[/tex]
c ≈ 13.0
This is the answer rounded to the nearest tenth.
kyle has x -3ounce blue marbles and 5 ounce green marbles. lara has 5-ounce green marbles and 3-ounces of blue marbles. is it possible for kyle and lara to have the same number of green marbles and the same total bag weight ,y? explain
Answer:
yes
Step-by-step explanation:
if x=6, 6-3=3 , so it is possible if x is 6
The product of a number and 8 is equal to the sum of the number and 13 .
Answer:
n*8 = n+13
Step-by-step explanation:
To find the equation, we must first disect the sentence. A product of a number and 8. This means a number times 8. A number n times 8. n*8. Next, is equal to. This means add an equal to sign after n*8. n*8 = . The sum of the number (n) and 13. This means n+13. So, put it all together:
n*8 = n+13
what is 7/5 as a simple thing?
Please help In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?
Answer: <C = 63°
Step-by-step explanation:
The interior angles in all triangles always equal 180°
47 + 70= 117
180 - 117 = 63°
<C = 63°
hope this helps :)
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
169
Step-by-step explanation:
Answer:
13 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
Now we need to find the square root!!
[tex]\sqrt{169}[/tex] = 13
Have an amazing day!!!
Please rate and mark brainliest!!
Solve the picture for n
The two angles shown are vertical angles which men they equal each other:
9n = 8n + 8
Subtract 8n from both sides:
N = 8
->Solution
i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]
or, 9n - 8n = 8
or, n = 8
therefore, value of n is 8
Now,
ii) 9n = 9 X n = 9 X 8 = 72 degrees
iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees
if a-1/a=5 then find the value of a square +1/asquare
Answer:
3
Step-by-step explanation:
Calculating a
a - 1 / a = 5a - 1 = 5a4a = -1a = -1/4Substitute in the 2nd equation
a² + 1 / a²(-1/4)² + 1 / (-1/4)²1/2 + 1 / 1/23/2 / 1/23In 1932, the average house in the united states cost $3,900. today, the average cost of a house is $350,000. what is the percent of change in the average price of a house in the united states (round to the nearest whole percentage)?
Answer:
8,874%
Step-by-step explanation:
Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"
your class wants to sell school spirit cups with the school logo on them .you teacher asks you to design this new cup such that a stack of 10cups will be 125 cm tall. describe key measurements of the school spirit cups and explain how they will meet the reqiured specifications
The class can make the school cup of 120.5 cm tall.
What is Equation?Equations include two sides on the left and right connected with equal to sign.
We can find the key measurements of the cups using the formula,
x + 10y = 125
where x is the height of one cup without including the lip length and y is the lip length.
x + y is the height of one cup.
There are various ways to form the measurement of x and y here.
Let y, the lip length of the cup be 1 cm tall. Then,
x + 10 = 125
⇒ x = 115
Length of 1 cup will be 115 + 1 = 116 cm.
Suppose length of lip, y be 0.5 cm. Then,
x + (10 × 0.5) = 125
x + 5 = 125
x = 125 - 5
x = 120 cm
Length of 1 cup will be 120 + 0.5 = 120.5 cm.
Similarly, we can have many measurements for the height of one cup.
Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.
Hence the class can make the school cup of 120.5 cm tall.
To learn more about Equations, click :
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a cylindrical tank has a diameter of 24 dm And a height of 30, dm.how many litters of a water can it hold when full (1 dm³ = 1 L)
Which of the following lines has a negative slope?
Answer:
The second option, or the one attached.
Step-by-step explanation:
This line has a negative slope because the line is going "down the stairs" from the top-left to the bottom-right.
Answer:
negative, the arrows pointing directly to it,
If P = (4,7), Find:
r 180° (P)
([?], [])
Answer: (-4,-7)
Step-by-step explanation:
According to the line plot, how many tadpoles were measured?
10 tadpoles
3 tadpoles
4 tadpoles
9 tadpoles
Answer:
10 Tadpoles were mesured in the line plot
Answer:
10 tadpoles
Step-by-step explanation:
look at the diagram
count the x's
you get your answer
what is the mean of the data set 17,9,11,7
Answer:
11
Step-by-step explanation:
Mean - add all the numbers up and divide by the amount of numbers you have.
Add all the numbers up-
17 + 9 + 11 + 7 = 44
Divide by the amount of numbers you have, since you have 4, divide by 4
44/4 = 11
11 would be your answer!
I hope it helps! Have a great day!
Muffin ^^
again another Pythagorean Theorem i need help on, please and thank you
You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."
The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.
What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.
In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.
What is the measure of the radius, c, rounded to the nearest hundredth? use an appropriate trigonometric ratio to solve. 5.88 cm 8.09 cm 12.36 cm 17.01 cm
The measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Trigonometry identityThe given figure is a pentagon. The measure of one of the interior angle is 108 degrees.
The triangle in the pentagon is right angle.
Measured acute ange = 108/2 = 54 degrees
Using the trig identity
sin 54 = 10/c
c =10/sin54
c = 10/0.8090
c = 12.36 cm
Hence the measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Learn more on trigonometry identity here; https://brainly.com/question/7331447
Answer:
12.36
Step-by-step explanation:
heath records the number of winners of three ring toss games. According to heaths experiments, what is the probability a player will win the game
A farmer is mapping out his acreage to
determine where to put up fencing for his
cattle. The length of his plot is 20 yards lõnger
than its width.
Write the function, f(w), that describes the
area, in square yards, of the land enclosed by
the fence.
Enter your answer in the space provided.
So
Area=Length×BreadthArea=x(x+20)Area=x^2+20xyd^2Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.
Answer:
Without outlier: 9
With outlier: 8.2
Step-by-step explanation:
Outlier is the lonely point at 1 passenger.
Mean is the average
Without outlier:
one 7
two 8
two 9
four 10
=[7+(2*8)+(2*9)+(4*10)] / 9
= (7 + 16 + 18 + 40) / 9
= 81/9
9
With outlier:
one 1
one 7
two 8
two 9
four 10
=[1+7+(2*8)+(2*9)+(4*10)] / 10
= 82/10
=8.2
Answer:
Mean with outlier: 8.2
Mean without outlier: 9
Hope This Helps! :) Please Give Brainliest!
Review the graph of function f(x). On a coordinate plane, a graph has maximum point at open circle (0, 4), and curves down and then repeats with smaller curves at intervals of 2 pi in both the positive and negative x -axis. A point is at (0, negative 2). Which statement identifies and explains Limit of f (x) as x approaches 0? The limit Limit of f (x) as x approaches 0 = –2 because the value of the function at x = 0 is –2. The limit Limit of f (x) as x approaches 0 does not exist because there is an open circle at (0, 4). The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4. The limit Limit of f (x) as x approaches 0 does not exist because there is oscillating behavior around x = 0.
The true statement is that (b) The limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).
How to interpret the limit of f(x)?From the graph of the function (see attachment), we have the following highlight:
There is an open circle at point (0,4), the maximum point of the function f(x) and when x = 0
When there is an open circle in the graph at x = 0, then the function has no limit at this point
This is so because the value is exclusive of the function values
Hence, the limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).
Read more about limits and continuity at:
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Answer:
C - The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4.
Step-by-step explanation:
Precalc Edge 2023
The radius of a circle is 17 yards. What is the circle's circumference? Use 3.14 for .
Answer:
Circumference of circle is 106.76 yardsStep-by-step explanation:
Given that, radius of Circle is 17 yards. To find the circumference of the circle we will the formula of circumference of circle:
Circumference of circle = 2πr
2 × 3.14 × 17
6.28 × 17
106.76 yards
Hence,
Circumference of circle is 106.76 yards⠀
Step-by-step explanation :
⠀
As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.
⠀
We know that,
[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 2 \pi r }}}}}[/tex]
⠀
Here,
r is the radius of the circle.We'll take the value of π as 3.14⠀
Now, substituting the values :
⠀
[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 2 \times 3.14 \times 17 }}}}}[/tex]
⠀
[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 6.28 \times 17 }}}}}[/tex]
⠀
[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 106.76}}}}}[/tex]
⠀
Therefore,
The circumference of the circle is 106.76 yardsplease b quick
The display on a calculator reads 9.378 E - 5. Which value does this represent?
a. 937,800,000
b. 937,800
c. 0.00009378
d. 0.000009378
Answer: C.0.0009378
Step-by-step explanation:
9.378E-5 is basically 9.378 x 10∧-5. Move the decimal to right 5 times.