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Misha Larkins [42]
3 years ago
10

If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16

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the length of a rectangle is 2 cm more than 5 times the width. The perimeter 196 cm.Find the width and length
blondinia [14]

w(5)+2+w=196

5w+2+w=196

6w+2=196

6w=194

w=32 1/3

4 0
3 years ago
What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?
nata0808 [166]

Answer:

y=2x+7

Step-by-step explanation:

<u><em>The correct question is</em></u>

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2<em>x</em>+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

so

the opposite reciprocal is m=2

<em>Find the equation of the line in point slope form</em>

y-y1=m(x-x1)

we have

m=2\\point\ (-2,3)

substitute

y-3=2(x+2)

<em>Convert to slope intercept form</em>

y=mx+b

isolate the variable y

y-3=2x+4

y=2x+4+3

y=2x+7

3 0
3 years ago
An air traffic controller is tracking two planes.To start Plane A was at an altitude of 990 meters and plane B was at an altitud
soldi70 [24.7K]

The equation representing when the two planes would be at the same altitude is 9x=486

<h3>In terms of mathematics, what is an equation?</h3>

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

From (a) we get that: Altitude of Plane A = 990-18x

Altitude of Plane B = 1476-27x

make 890 - 18x = 1476-27x

-18x+27 x = 1476-890

9x=486

X= 54

so pass 54 seconds will the two plane at the same altitude.

To learn more about equations from given link

brainly.com/question/25678139

#SPJ9

8 0
1 year ago
Dannielle's test grades are 83, 92, 99, 86 and 90. What is the<br> median of her grades?
Butoxors [25]

Answer: 90

Step-by-step explanation:

83, 86, 90, 92, 99

90 is in the middle <3

5 0
3 years ago
Lance says that you can compare any decimal numbers the way that you alphatbetize words you can tell which number is first by co
Afina-wow [57]

Answer:

No, Lance's thinking is wrong because you cannot compare decimal numbers with alphabetizing words. For example, if we compare 37.6 to 7.42 using the method of Lance, we would probably say 37.6 is less than 7.42 because 3 is less than 7. But it is wrong. The 3 in 37.6 is in the tens place. On the other hand, 7.42 contains no tense. Therefore, 37.6 is actually higher.

Step-by-step explanation:

No, Lance's thinking is wrong because you cannot compare decimal numbers with alphabetizing words. For example, if we compare 37.6 to 7.42 using the method of Lance, we would probably say 37.6 is less than 7.42 because 3 is less than 7. But it is wrong. The 3 in 37.6 is in the tens place. On the other hand, 7.42 contains no tense. Therefore, 37.6 is actually higher.

6 0
3 years ago
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