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Rufina [12.5K]
3 years ago
14

Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. a

nd traveled at an average rate of 496 miles per hour. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 miles per hour. Let x represent the number of hours that the first plane traveled.
Write an equation that can be used to solve the value of x.
Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

Answer:

Y=496x+8

Step-by-step explanation:

496 per hour, plus 8 oclock the time they left

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Please solve! thanks!
Kaylis [27]

Answer:

5 7/11 - 2 1/5

62/11 - 11/5

LCM of 11 and 5 is 55

62/11 × 5/5 - 11/5 × 11/11

62 × 5 /55 - 11 × 11/55

310/ 55 - 121/55

310 - 121 /55

189/55

5 0
3 years ago
Which equation can be used to prove 1 + tan2(x) = sec2(x)?
notsponge [240]

Answer:

fourth option

Step-by-step explanation:

Using the trigonometric identity

cos²x + sin²x = 1

Divide all terms by cos²x

\frac{cos^2x}{cos^2x} + \frac{sin^2x}{cos^2x} = \frac{1}{cos^2x} which gives

1 + tan²x = sec²x

6 0
3 years ago
The polynomial of degree 3, P(x), has a root of. multiplicity 2 at x=1 and a roof of multiplicity 1 at x= -3. the y- intercept i
Stella [2.4K]

P(x) has degree 3, so it takes the general form

P(x)=ax^3+bx^2+cx+d

It has a root x=1 of multiplicity 2, which means (x-1)^2 divides P(x) exactly, and it has a root of x=-3 of multiplicity 1 so that x+3 also is a factor. So

P(x)=a(x-1)^2(x+3)

Expanding this gives

P(x)=a(x^3+x^2-5x+3)=ax^3+ax^2-5ax+3a

\implies\begin{cases}a=b\\-5a=c\\3a=d\end{cases}

The y-intercept occurs for x=0, for which we have

P(0)=d=2.1

Then

3a=d\implies a=0.7

a=b\implies b=0.7

-5a=c\implies c=-0.14

So we have

\boxed{P(x)=0.7x^3+0.7x^2-0.14x+2.1}

6 0
3 years ago
Read 2 more answers
Help help help help
goblinko [34]

Answer:

\displaystyle m=\frac{-1}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (4, 1)

Point (0, 3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{3-1}{0-4}
  2. [Fraction] Subtract:                                                                                         \displaystyle m=\frac{2}{-4}
  3. [Fraction] Simplify:                                                                                          \displaystyle m=\frac{-1}{2}
4 0
3 years ago
The question for this problem is “The owner of a food cart sells an average of 120 frozen treats per day during the summer”.
ziro4ka [17]

Answer:

i think its b

Step-by-step explanation:

3 0
3 years ago
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