Using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.
What is the quadratic formula?The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.
In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.
We have:
x² – 2x = 15
x² – 2x - 15 = 0
The formula is:
x = -b ± √b² - 4ac/2a
Now, insert values as follows:
x = -b ± √b² - 4ac/2a
x = -(-2) ± √(-2)² - 4(x)(-15)/2x
x = 4 ± √2+60x/2x
Therefore, using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.
Know more about the quadratic formula here:
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The function for the cost of materials to make a hat is f(x)=1/2 x+1 where x is the number of hats. The function for the selling price of those hats is g(f(x)) where g(x)=x+2 find the selling price of 10 hats???
Answer:
Step-by-step explanation:
g(f(10)) = g(½·10+1)
= g(6)
= 6+2
= 8
Answer:
the answer is 10
Step-by-step explanation:
Janice buys 74 packs of gum in a variety flavors. She chooses twice as many packs of green apple gun as packs of spearmint gum and 6 fewer packs of cinnamon gun than packs of green apple gum. How many packs of spearmint gum does Janice buy?
Answer:
16 packs of spearmint gum
Step-by-step explanation:
Let x = no. of packs of spearmint gum
2x = no. of packs of green apple gum
2x - 6 = no. of packs of cinnamon gum
x + 2x + 2x - 6 = 74
5x - 6 = 74
5x = 80
x = 16 packs of spearmint gum
2x = 2(16) = 32 packs of green apple gum
2x - 6 = 32 - 6 = 26 packs of cinnamon gum
What is the area of the parallelogram?
A parallelogram with base of 20 centimeters, height of 15 centimeters, and side length 21 centimeters.
82 centimeters squared
300 centimeters squared
315 centimeters squared
420 centimeters squared
Answer:
300 centimeters squared.
Step-by-step explanation:
Given that a parallelogram has a base of 20 centimeters, a height of 15 centimeters, and a side length 21 centimeters, to determine the value of its area, the following calculation must be performed:
Area = Base x Height
Area = 20 x 15
Area = 300
Thus, the area of the parallelogram is 300 square centimeters.
A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = \frac{1}{4} x[/tex]
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula [tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}[/tex]
Thus, the slope is [tex]\frac{1}{4}[/tex].
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{4}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
[tex]y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x[/tex]
You know the two legs of a right triangle. You also know the measure of one of the acute angles of the triangle. Could you use the given law or theorem to find the length of the hypotenuse? Select Yes or No for A-C.
A. Law of Sines (YES OR NO )
B. Law of Cosines (YES OR NO )
C. Pythagorean Theorem (YES OR NO )
Answer:
A (NO) B(YES) C(YES)
Step-by-step explanation:
Law of sines is used to find the measurements of angles not sides. Law of cosines is used for the sides. And pythagorean theorum should be obvious as it is based on the sides of a right triangle.
What is the solution of the inequality shown below X-3>7
Step-by-step explanation:
x-3>7 =>
x>10
hope this helps
1/2 x 1 2/3 write the answer as a fraction or as a whole or mixed number
Answer:
5/6
Step-by-step explanation:
if you increase the length on a parallelogram by 4 cm, what happens to the perimeter?
Answer:
It gains 8 cm
Step-by-step explanation:
Answer:
We know that all the sides of a square are equal. Perimeter of a square is 4 times of s side. Perimeter of a square = 4 × length of a side.
Step-by-step explanation:
if f(x)=2x-1 and g(x)=3x+5, then (f*g)(x) is equal to
gud evng have a gud day
hope u enjoy ur day
(F*g)(x) means to multiply the two equations.
Multiply each term by each term:
2x-1 * 3x+5 =
2x * 3x + 2x*5 + (-1)*3x + (-1)*5 =
6x^2 + 10x -3x -5 =
6x^2+7x-5
Subtract the fractions. Simplify if possible. 3/4 - 1/4 - 2/4 =
Can anyone please help with this? I will love you forever
Answer:
1 and 2, 3 and 4, 5 and 6, 7 and 8
Step-by-step explanation:
Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary
find the sum of the first 10 terms of the following sequence 4, -16, 64
Answer:
838860
Step-by-step explanation:
How do you find the sum of the first 10 terms?
To sum up the terms of this arithmetic sequence: a + (a+d) + (a+2d) + (a+3d) +
Example: Add up the first 10 terms of the arithmetic sequence:
a = 1 (the first term)
d = 3 (the "common difference" between terms)
n = 10 (how many terms to add up)
What is the sum of the first 10?
The number series 1, 2, 3, 4 , 9, 10. Therefore, 55 is the sum of positive integers upto 10.
pls answer I'll mark u brainliest urgent
Answer:
a = 110
Please mark as brainliest if answer right
Have a great day, be safe and healthy
Thank u
XD
Answer:
A=110
that is what I think
The length of a shadow of a building is 29 m. The distance from the top of the building to the tip of the shadow is 36 m. Find the height of the building. If
necessary, round your answer to the nearest tenth.
Answer:
21.3 m
Step-by-step explanation:
find the value of b in rectangle
What the value of x? Round to the nearest tenths place
Answer:
2.7084
Step-by-step expla
A student must leave for campus in 10 minutes or he will be late for class. Unfortunately, he is snowed in. He can shovel the driveway in 18 minutes, and his brother claims to be able to do it in 12 minutes. If they shovel together, how long will it take to clear the driveway? Will this give enough time for the student to get to the campus?
Answer:
I believe if they did it together they would finish in 6 minutes
Step-by-step explanation:
What is the value of k if (1, 1) is a solution of 2x + 7y=k?
Which table shows a linear relationship
Answer:
B
Step-by-step explanation:
Dina started swimming at 3:33 P.M. She swam until 4:31 P.M. How long did Dina swim?
Answer:
1 hour and 38 minutes
or 98 minutes
Step-by-step explanation:
subtract
4:31-3:31=98 minutes
98-60=38 minutes
= 1 hour and 38 minutes
or
+98 minutes
How many solutions does this system have?
X-3y = 4
-2x+6y=3
one
two
an infinite number
no solution
Find the x intercept for the graph, 3x-14y+12=0
What is the volume of an aquarium if 50cm long 10 cm broad 15 cm high
Answer:
Im pretty sure its 7.5 litres i might be wrong still.
Answer:
7,500 cm
Step-by-step explanation:
It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.
The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want to estimate the mean daily number of minutes that BYU students spend on their phones. In fall 2019, they took a random sample of 430 BYU students and found that on average, students spend 312 minutes on their phones with a standard deviation of 54 minutes per day. The plot of the sample data showed no extreme skewness or outliers. Calculate a 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019. Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.
Answer:
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
Step-by-step explanation:
Confidence interval normal
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.054\frac{54}{\sqrt{430}} = 5.35[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes
The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
Part 2! Please help once again! This is confusing me since I've never been good at geo. :((
Answer:
B is the answer that is incorrect and must be rejected.
Step-by-step explanation:
A trapezoidal shape need not have a line of symmetry to be a trapezoid.
What is the solution to the system of equations graphed below?
y = 4x + 11
y = -2x - 1
Answer:
Step-by-step explanation:
y = 4x + 11, and y = -2x - 1, so
4x + 11 = -2x - 1
6x + 11 = -1
6x = -12
x = -2
y = 4x+11 = 3
y = 4x + 11
y = -2x - 1
4x + 11 = -2x - 1
4x + 2x = -1 - 11
6x = -12
x = -12/6
x = -2
y = 4x + 11
y = 4(-2) + 11
y = -8 + 11
y=3
Answer is (-2,3).
I WILL GVE BRAINLIEST JUST HELP ASAP
Use the Rational Zeros Theorem to write a list of all potential rational zeros
f(x) = 14x3 + 56x2 + 2x - 7
Answer:
± 1 , ± 1/2 , ± 1/7 , ± 1/14 , ± 7 , ± 7/2
Step-by-step explanation:
Side 2. What is the sogel
What is the slope between the
points (2, 150) and (5,375)?
Answer:
75
Step-by-step explanation:
Use the slope formula (rise/run):
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(375 - 150)/(5-2) = 225/3 = 75
Donna and Darcy collected newspapers for recycling. Donna collected 5 3/4 pounds of newspaper. Darcy collected 2 1/4 pounds of newspaper. How much newspaper did they collect between them?
Answer:
8 pounds
Step-by-step explanation:
5 3/4 + 2 1/4 = 7 4/4 = 8
Point A is at (3,-8) and point B is at (5,-2.5). What is the midpoint of line segment AB?
Answer:
[tex]\displaystyle (4,-5.25)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point A(3, -8)
Point B(5, -2.5)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{3+5}{2},\frac{-8-2.5}{2})[/tex][Midpoint] Add/Subtract: [tex]\displaystyle (\frac{8}{2},\frac{-10.5}{2})[/tex][Midpoint] Divide: [tex]\displaystyle (4,-5.25)[/tex]