15,254 Answered Questions for the topic precalculus

Precalculus Calculus

06/03/24

3.1 5, a quadratic function is given
A quadratic function f is given.f(x) = −x2 + 16x(a)Express f in vertex form.f(x) =   (b)Find the vertex and  x- and y-intercepts of f. (If an answer does not exist, enter DNE.)vertex(x, y)vertex:X... more
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Precalculus Calculus

06/03/24

A quadratic function f is given. 3.1 (4)
f(x) = x2 + 6x − 5a. express f in standard form (b) Find the vertex and  x- and y-intercepts of f. (If an answer does not exist, write N/A) Vertex (x,y):___________ x- Intercepts (x,y)_________... more
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Precalculus Calculus

06/03/24

The quadratic function f(x) = a(x − h)2 + k is in vertex form.
The quadratic function f(x) = a(x − h)2 + k is in vertex form. The graph of f is a parabola with vertex (x, y) = __________   3.1 (2)
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Precalculus Calculus

06/03/24

Factor the Polynomial using factored form 3.2 (13)

Factor the polynomial and use the factored form to find the zeros. (Enter your answers as a comma-separated list. Enter all answers using the appropriate multiplicities.)P(x) = x4 − 8x2 − 9X=______?
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06/03/24

3.2 Polynomial functions and their graphs (15)
The graph of a polynomial function is given.P(x)= -(1/2)x^3 + (3/2)x - 1 The x y-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right becoming less... more
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06/03/24

In interval notation (17) 3.2 Polynomial functions
A cardboard box has a square base, with each edge of the base having length x inches, as shown in the following figure. The total length of all 12 edges of the box is 144 in.A box with a square... more
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06/03/24

A polynomial function is given. U(x) = −x3 + 3x2. Y→_______ as x→ ∞
3.2 Polynomial functions (a)
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Precalculus

05/31/24

Chromium-51 has a half-life of 28 days. You have a sample of chromium-51 that weighs 100 grams. How long will it take for the sample to decay to a mass of 5 grams?
I looked it up online, and used the equations listed; Initial amount x e^kt=m where k is equal to (ln2)/half life, but got a negative answer. I also feel like there should be a way to write it as a... more
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Precalculus

05/31/24

5^2x-7(5^x)=-12 solve for x
no clue what to do. an online calculator did it by substituting 5^x for u and that makes no sense to me at all. If you turn the 5^x into 'u' and are left with u^2-7u= -12 and solve from there, isnt... more
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05/30/24

Find the slope of the line through P and Q. P(6, −3), Q(3, −3)
1.10 Lines (5)
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05/30/24

Find the slope of the line through P and Q. P(−8, 1), Q(5, −4)
1.10 Lines
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Precalculus Calculus

05/30/24

Find an equation of the line that satisfies the given conditions. Through (−3, 5); slope −1
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Precalculus Calculus

05/30/24

Find an equation of the line that satisfies the given conditions. Slope 2; y-intercept −3
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Precalculus Geometry Trigonometry

05/27/24

Triangle with Difference of Two Angles Given
About triangle ABC, we know b = 7 inches, c = 6 inches, and β-γ = 15° [where α = ∠A, β = ∠B, and γ = ∠C]. Calculate α, β, and γ.
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Precalculus Math Algebra 1 Prealgebra

05/27/24

Divisibility Rules
What are some ways that your teacher has shown divisibility rules? How do you know to divide by a certain number? So many students have learned different ways and I would love to hear yours!
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Precalculus Math Algebra 1 Calculus

05/25/24

Finding limit of a given function
How do I find the limit, if it exists, and how do I sketch its graph:. 2-x, x≤0lim f(x), where f(x) = {x→0 . x+2, x>0
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Precalculus Algebra 1 Algebra 2

05/23/24

Solve the exponential equation using natural logs
2x-3 = 7
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Precalculus Math Algebra 1 Algebra 2

05/23/24

Equation of line in point-slope form given 2 points
Find the equation of the line in point-slope form given the two points (2,3) and (5,-7)
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Precalculus Math Algebra 1 Algebra 2

05/22/24

Expand using logarithmic properties
Expand log2(u2v3/w-6)
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Precalculus

05/21/24

Given that tanx=4/11 and secx<0,find cos(2x)
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Precalculus

05/21/24

Find an equation
Find an equation of the line that passes through the point (-5,5) and perpendicular to the line y= -(1/3)x+2
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Precalculus

05/20/24

teresa invested $7600 in two different accounts. the first account paid 6% the second account paid 2% interest. At the end of the first year she had $360 in interest. How much was in each account?
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Precalculus

05/20/24

I would like help with math please
Three baseball cards are selected at random from a group of seven cards. Two cards are rookie cards. What is the probability that exactly one of the three selected cars is a rookie card
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Precalculus Math Algebra 1 Algebra 2

05/15/24

Calculating averages of dates on Excel 97
Calculate the average of the following dates using Excel (97 in my case): 3/30/2023, 5/1/2024, 12/7/2024Answer (from Excel 97): 3/2/2024I would like to know how Excel is coming up with this answer.... more
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Precalculus Algebra 2

05/15/24

Given the function, find the difference quotient
f(x)=x2+2x-7f(x+h)-f(x)/h=?
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