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solmaris [256]
3 years ago
11

Find the x-intercept(s) and the coordinates of the vertex for the parabola

Mathematics
1 answer:
Drupady [299]3 years ago
4 0
The answer
y=−x^2−2x-24 is like the form of y=ax² +bx +c,  to find the vertex we use the formula:
 the x intercept according to the vertex is x=-b/2a, and the vertex V is a point such that V [-b/2a, f(-b/2a)] 
the x intercept is x= -(-2) / 2(-1) =-1, and f(-1)= -1 +2 -24= -23

the vertex is V(-1, -23)
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Alicia uses 3/4 gallon of paint to paint her room. Becca uses for 4/5 gallon more than Alicia to paint her room. How many gallon
Maurinko [17]

Answer:

23/10 gallons

Step-by-step explanation:

Alicia uses 3/4 gallon of paint to paint her room.

Alicia use = 3/4 gallon of paint

Becca uses for 4/5 gallon more than Alicia to paint her room.

Becca uses = Alicia (3/4 gallons ) + 4/5

Becca uses = \frac{3}{4} + \frac{4}{5}

Total paint used together = Aliccia used + Becca used

\frac{3}{4}+\frac{3}{4} + \frac{4}{5}

Add like fractions 3/4 + 3/4 becomes 6/4

\frac{6}{4} + \frac{4}{5}

Make the denominators same

\frac{6*5}{4*5} + \frac{4*4}{5*4}

\frac{30}{20} + \frac{16}{20}

\frac{46}{20}

Divide top and bottom by 2

\frac{23}{10} gallons



6 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Six times Jason
Helga [31]
Based on the given above, collection of books of Nathan and Jason can be translated into the following equations:
6J + 1/3N = 134
1/3 J + N = 31; J = Jasons and N=Nathan
Solving two equations with two unknowns simultaneously,
Jason = 21 books and Nathan = 24 books
4 0
3 years ago
Read 2 more answers
If the radius of a flying disc is 7.6 centimeters, what is the approximate area of the disc?
adell [148]
Area = pi * r^2
A = 3.14 * 7.6^2
A = 181.37

In short, Your Answer would be 181.37 cm^2

Hope this helps!
7 0
3 years ago
Read 2 more answers
Calculate the side lengths a and b to two decimal places.
navik [9.2K]

Answer:

D. <em>a</em> = 11.71 and <em>b</em> = 15.56

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • All angles in a triangle add up to 180°

<u>Pre-Calculus</u>

  • Law of Sines: \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}

Step-by-step explanation:

<u>Step 1: Define</u>

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

<u>Step 2: Find missing ∠</u>

  1. Set up equation:                    m∠C + 45° + 110° = 180°
  2. Combine like terms:              m∠C + 115° = 180°
  3. Isolate unknown:                   m∠C = 25°

<u>Step 3: Find measure of </u><em><u>b</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(110)}{b}
  2. Cross-multiply:             bsin(25)=7sin(110)
  3. Isolate <em>b</em>:                       b=\frac{7sin(110)}{sin(25)}
  4. Evaluate:                       b=15.5645
  5. Round:                          b \approx 15.56

<u>Step 4: Find measure of </u><em><u>a</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(45)}{a}
  2. Cross-multiply:             asin(25)=7sin(45)
  3. Isolate <em>a</em>:                       a=\frac{7sin(45)}{sin(25)}
  4. Evaluate:                       a=11.7121
  5. Round:                          a \approx 11.71
6 0
3 years ago
Between which two numbers will you find 6.431?
AfilCa [17]

Answer:

6.4 and 6.5

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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