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Gnoma [55]
3 years ago
10

Given the function f(x) = -2x2 + 4x - 7, find f(-4). -55 -7 25

Mathematics
2 answers:
Neko [114]3 years ago
7 0

Answer:

f(-4)= -55

Step-by-step explanation:

We want to find f(x), or y, when x is equal to -4.

Therefore, we can substitute -4 in for x in the function.

f(x) = -2x^2 + 4x - 7

Substitute -4 in for x

f(-4) = -2(-4^2) + 4(-4) - 7

Evaluate the exponent

f(-4)=-2(16)+4(-4)-7

Multiply -2 and 16

f(-4)= -32+4(-4)-7

Multiply 4 and -4

f(-4)=-32-16-7

Subtract

f(-4)=-55

DaniilM [7]3 years ago
6 0
-2(-4)2+4(-4)-7
16-16-7
-7. -7 is correct
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Recall that in football, touchdowns are worth 7 points each (including the extra point), and field goals are worth 3 points each
SashulF [63]

Answer:

The different ways a football team cold score 63 points are by having;

1) 3 touchdowns and 14 field goals

2) 6 touchdowns and 7 field goals

Step-by-step explanation:

The given parameters are;

The worth of each touchdown = 7 point

The worth of each field goal = 3 points

The number of touch down ≥ 1

The number of field goals ≥ 1

Let x represent the number of touchdowns and let y represent the number of field goals, we have;

7·x + 3·y = 63...(1)

x + y ≥ 2...(1)

Making y the subject of the equation, 7·x + 3·y = 63, gives;

3·y = 63 - 7·x

y = 21 - (7/3)·x

Making y the subject of the inequality, x + y ≥ 2, gives;

y ≥ 2 - x

From the attached graph created with Microsoft Excel, we have the points where x ≥ 1, that have a whole number value of y ≥ 0 as follows;

1) When x = 3, y = 14 gives 7×3 + 3×14 = 63

2) When x = 6, y = 7 gives 7×6 + 3×7 = 63

Therefore, the different ways a football team cold score 63 points are;

1) 3 touchdowns and 14 field goals

2) 6 touchdowns and 7 field goals.

5 0
3 years ago
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Which value is equivalent to 93.982<br> ОА 911<br> o<br> B<br> 924<br> O c 8111<br> c
notka56 [123]
A 9^11. Or, nine to the eleventh power
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2 years ago
In a random sample of high school seniors, the proportion who use text messaging was 0.88. In a random sample of high school fre
Bond [772]

Answer:

b. 0.02

Step-by-step explanation:

The smaller the p-value, the stronger the evidence that you should reject the null hypothesis. In this case, this will mean rejecting that the proportions are not significantly different.

Usually, a p-value is considered to be statistically significant when p ≤ 0.05.

From the answer options provided, alternative b. 0.02 is the only one that represents the difference in proportions to be statistically significant (there is only a 2% chance that the proportions are not significantly different).

Therefore, the answer is b. 0.02

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3 years ago
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
3 years ago
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ZanzabumX [31]

Answer:

868 m³

Step-by-step explanation:

Volume = Difference of cones

V = ⅓(pi×r²h)

Volume of cone with base Circle O:

h = 8.2+8.2 = 16.4 m

V1 = ⅓(pi×7.6²×16.4)

V1 = 991.97

Volume of cone with base Circle A:

V2 = ⅓(pi×3.8²× 8.2)

V2 = 124 m³

Volume = V1 - V2

991.97 - 124 = 868 m³

6 0
3 years ago
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