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3 years ago

All you need is in the photo

Mathematics

1 answer:

AlexFokin [52]3 years ago

4 0

Answer:

X + Y = 1 ------1

X - 2y = 4 ------2

Solving by substitution method

X = 4 + 2y -----3

Putting the value of X in equation 1

4 + 2y + y = 1

4 + 3y = 1

3y = 1 - 4

3y = (-3)

y = (-3) /3

Putting value of y in equation 3

X = 4 + 2(-1)

X = 4 - 2

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alexgriva [62]

Answer:

$g(x)=(x+3)^2$

Step-by-step explanation:

$f(x) = x^2$

The graph is shifted 3 units to the right

$(x+3)^2$

$g(x)=(x+3)^2$

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3 years ago

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Every 2 minutes, the height of a glider decreases by 8 feet. The initial height was 47 feet.

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4 years ago

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Use the lim f(x)-f(a)/x-a to find the derivative.

Tresset [83]

Hello,

f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)

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Otherwise
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at point(1,-7)

4 0

3 years ago

Since an instant replay system for tennis was introduced at a majorâ tournament, men challenged 1399 refereeâ calls, with the re

prohojiy [21]

Answer: The value of test statistic is 0.696.

Step-by-step explanation:

Since we have given that

$n_1=1399\\\\x_1=411\\\\p_1=\dfrac{x_1}{n_1}=\dfrac{411}{1399}=0.294$

Similarly,

$n_2=759, x_2=211\\\\p_2=\dfrac{x_2}{n_2}=\dfrac{211}{759}=0.278$

At 0.01 level of significance.

Hypothesis are :

$H_0:P_1=P_2=0.5\\\\H_a:P_1\neq P_2$

So, the test statistic value would be

$z=\dfrac{(p_1-p_2)-(P_1-P_2)}{\sqrt{\dfrac{P_1Q_1}{n_1}+\dfrac{P_2Q_2}{n_2}}}\\\\z=\dfrac{0.294-0.278}{\sqrt{0.5\times 0.5(\dfrac{1}{1399}+\dfrac{1}{759})}}\\\\z=\dfrac{0.016}{0.023}=0.696$

Hence, the value of test statistic is 0.696.

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3 years ago

Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs<br>

Eddi Din [679]

Answer:

Step-by-step explanation:

a maximum or minimum occurs where the derivative equals zero

f(x) = -2x² + 14x - 10

f'(x) = -4x + 14

0 = -4x + 14

4x = 14

x = 3.5

f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5

3 0

3 years ago

All you need is in the photo ​

All you need is in the photo