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Ksju [112]
3 years ago
8

Really need help with these please!

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

x = 2.3

Step-by-step explanation:

Since XY and YZ are congruent, then their distance must be equal. This means the length of YZ is also 6.9. To sole for x, set them equal.

3x = 6.9

x = 2.3

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For any linear function f(x) = mx + b, when does kf(x) = f(kx)?
iogann1982 [59]

Only when <em>b</em> = 0 or <em>k</em> = 1<em>.</em>

If <em>f(x)</em> = <em>mx</em> + <em>b</em>, then

<em>f</em> (<em>kx</em>) = <em>m</em> (<em>kx</em>) + <em>b</em> = <em>mkx</em> + <em>b</em>

while

<em>k</em> <em>f(x)</em> = <em>k</em> (<em>mx</em> + <em>b</em>) = <em>kmx</em> + <em>kb</em>

The two expression are identical only if

<em>kb</em> = <em>b</em>   ===>   <em>kb</em> - <em>b</em> = 0   ===>   <em>b</em> (<em>k</em> - 1) = 0   ===>   <em>b</em> = 0 or <em>k</em> = 1

4 0
2 years ago
A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx-5. What values of the slope o
irakobra [83]
You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.

Then 3x^2 + 4x -2 = mx - 5

solve 3x^2 + 4x - mx -2 + 5 = 0

3x^2 + (4 - m)x + 3 = 0

In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>

b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0

(4 - m)^2 = 24

4 - m = +/- √(24)

m = 4 +/- √(24) = 4 +/- 2√(6)

Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6




7 0
3 years ago
You roll one die. What is the probability that you roll a 6?
professor190 [17]
The probability of rolling any one number in the sample space {1, 2, 3, 4, 5, 6}
is 1/6
LETTER C
7 0
3 years ago
Jim’s Gym had income of $20,350 last month.The total increased by $2,000 this month.What was the percent increase to the nearest
frozen [14]

Answer:

10%

Step-by-step explanation:

To find the percentage, ask yourself, how much is 2000 of the original value which is 20350.   This can be solved by the following equation.

2000/20350=

The answer is approximately 0.09828.   Then, convert this to a percent. 9.828%. Then, round it to the nearest percent. The answer is 10%

6 0
3 years ago
the movie house give away a $5 coupon for every 4 movies purchased. they give away a bag of popcorn for every 3 movies purchased
ArbitrLikvidat [17]

Answer: 12 movies

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7 0
3 years ago
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