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Grace [21]
3 years ago
8

Write the quadratic equation where the roots are -1/3 and 5

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

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The initial number of views for a blog was 10. The number of views is expected to grow at a rate of 15% per week. How many views
Norma-Jean [14]

Answer:

  • 20 views

Step-by-step explanation:

  • Initial number = 10
  • Weekly growth rate = 15% or 1.15 times

<u>Equation for this relationship:</u>

  • V(t) = 10*1.15^t, where t - number of weeks

<u>Number of views in 5 weeks:</u>

  • V(5) = 10*1.15^5 = 20 views (rounded)
5 0
4 years ago
Help please whats the answer
Ad libitum [116K]
<h3>Answer:</h3>

12 students

<h3>Explanation:</h3>

40% earned a B; 20% earned an A, so (40%+20% =) 60% got a "B or better."

60% of 20 students is ...

... 60/100 × 20 students = 1200/100 students = 12 students

5 0
3 years ago
Rewrite each equation in vertex form by completing the square. Then identify the vertex.
ioda

ANSWER

Vertex form;

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

Vertex

V(  - \frac{3}{2} , -  \frac{35}{4} )

EXPLANATION

Given:

f(x) = 3 {x}^{2}  + 9x - 2

We complete the square as follows:

y = 3( {x}^{2}  + 3x) - 2

y = 3( {x}^{2}  + 3x +  \frac{9}{4} ) - 2 - 3 \times  \frac{9}{4}

The vertex form is:

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

The vertex is

V(  - \frac{3}{2} , -  \frac{35}{4} )

6 0
4 years ago
Read 2 more answers
SOMEONE HELP PLEASE.............
Zigmanuir [339]

Answer:

(3,-3) or x = 3

Step-by-step explanation:

I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.

6 0
3 years ago
The sum of the measures of angle M and angle R is 180° .
enot [183]

Answer:

x =25

Step-by-step explanation:

<M + <R = 180

We know M = 5x+10  R = 45

Substituting these values in

5x+10 + 45 = 180

Combine like terms

5x+55 = 180

Subtract 55 from each side

5x+55-55 = 180 -55

5x = 125

Divide each side by 5

5x/5 = 125/5

x = 25

4 0
3 years ago
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