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3 years ago

Help Plzzzz............

Mathematics

2 answers:

san4es73 [151]3 years ago

7 0

Answer:

276 guests at the wedding

Step-by-step explanation:

look above me, you will find the explanation.

Y_Kistochka [10]3 years ago

3 0

Answer:

276 guests at the wedding

Step-by-step explanation:

1. Given

Call the number of guests at the wedding x

$\frac{1}{3}$ of the guests ordered beef,

$\frac{1}{3}$ x ordered beef

$\frac{5}{12}$ of the guests ordered chicken,

$\frac{5}{12}$ x ordered chicken

69 guests ordered vegetarian.

2. Solving

If one were to add up all these values, one would get the total number of guests at the wedding. Hence set up the following equation;

$\frac{1}{3}$ x + $\frac{5}{12}$ x + 69 = x

Simplify,

- convert fractions to a common denomintor

- reduce fractions

$\frac{4}{12}$ x + $\frac{5}{12}$ x + 69 = x

$\frac{9}{12}$ x + 69 = x

$\frac{3}{4}$ x + 69 = x

69 = x - $\frac{3}{4}$ x

69 = $\frac{1}{4}$ x

*4 *4

276 = x

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I WILL GIVE 60 POINTS IF CORRECT PLEASE ANSWER *photo below*

Andrews [41]

Answer:

10. 27 shoes

11. No, both are 18, they are equal

12. 96 dogs

13. 125 students

14. 600 students

15. 50 tulips

16. 70 cars

17. Rory divided the percentage by the number (#/%=#)

Step-by-step explanation:

To find a percentage of somethin, multiply the number by the percent

(54 shoes x 50% (0.50) = 27 shoes)

To find the original number, divide the new number by the percentage

(25 students/20% (0.20) = 125 students)

7 0

2 years ago

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0

3 years ago

Consider the equation below.

Korvikt [17]

Answer:

Equation in square form:

$y=3(x+5)^2-4$

Extreme value:

$(h,k)=(-5,-4)$

Step-by-step explanation:

We are given

$y=3x^2+30x+71$

we can complete square

$y=3(x^2+10x)+71$

we can use formula

$a^2+2ab+b^2=(a+b)^2$

$y=3(x^2+2\times x\times 5)+71$

now, we can add and subtract 5^2

$y=3(x^2+2\times x\times 5+5^2-5^2)+71$

$y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71$

$y=3(x+5)^2-75+71$

So, we get equation as

$y=3(x+5)^2-4$

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

$y=a(x-h)^2+k$

where

vertex=(h,k)

now, we can compare and find h and k

$y=3(x+5)^2-4$

we get

h=-5

k=-4

so, extreme value of this equation is

$(h,k)=(-5,-4)$

6 0

3 years ago

Read 2 more answers

How much does each one equal?

nadya68 [22]

Answer:

need more information

4 0

3 years ago

The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5

N76 [4]

We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)² − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)

The slope would then be

m = (9.5-3.5)/(6-2)
m = 1.5

Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.

5 0

3 years ago

Help Plzzzz............​

Help Plzzzz............