Answer:
f(x) = x² - 10x + 24
Step-by-step explanation:
The quadratic function has a graph that passes through the points (4,0) and (6,0).
Therefore, the graph has two x-intercepts at x = 4 and x = 6 and those are the roots of the equation.
So, (x - 4) and (x - 6) are two factors of the quadratic equation.
Then we can write the equation as
f(x) = (x - 4)(x - 6)
⇒ f(x) = x² - 4x - 6x + 24
⇒ f(x) = x² - 10x + 24
Hence, this is the required quadratic function in standard form. (Answer)
Answer:
- A) 10
- B) 10
Step-by-step explanation:
<h3>Q1</h3>
See the attached table. In the table, x1 is the middle of the three consecutive numbers. f(x1) is the product of those consecutive numbers.
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<h3>Q2</h3>
The 10 numbers are ...
5432, 5431, 5430, 5421, 5420, 5410, 5321, 5320, 5310, 5210
Answer:
330
Step-by-step explanation:
575 - 163 = 412
412 / 1.25 = 329.6
Since we need to exceed the goal and we can only sell whole candy bars, we round 329.6 up to 330.
1.6 is the answer for your question
Answer:
111 girls
Step-by-step explanation:
Given
Boys: Every 17 outdoor ≈ 20 indoor
Girls: 3:2 outdoor to indoor
First, we'll determine the ratio of outdoor to indoor for boys;
Recall that;
17 choose indoor while 20 choose outdoor;
The ratio of outdoor to indoor is;
20 : 17
Convert to fraction:
Let x represent number of boys that choose indoor when 85 boys chose outdoor;
The ratio of outdoor to indoor is;
x : 85
Convert to fraction
Equate both fractions
Multiply both sides by 85
This implies that when 85 chose outdoor, 100 chose indoor for boys;
Total = 100 + 85
Total = 185 boys surveyed
<em>Recall that the question says the same number of boys and girls were surveyed</em>
This implies that
Total Girls Surveyed = 185
For the girl ratio;
Outdoor to Indoor= 3:2
Number of girls that chose outdoor is as follows;
<em>Hence, the number of girls that chose outdoor is 111</em>