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Marizza181 [45]
3 years ago
5

Which linear equation represents a line with a slope of -7 and a y-intercept of 12

Mathematics
1 answer:
notka56 [123]3 years ago
4 0

Answer:

<u>Answer</u><u> </u><u>→</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>7</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>2</u>

Step-by-step explanation:

General equation of a line:

\hookrightarrow \: { \tt{y = mx + c}} \\

  • m is the slope
  • c is the y intercept

From the question;

m is -7

c is 12

{ \tt{y =  - 7x + 12}}

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Answer:

3

Step-by-step explanation:

slopes in parallel are equal

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3 years ago
What are the domain and range of f(x) = 4* – 8?
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Answer:

domain: {x | x is a real number}

range: {y l y> -8}

Step-by-step explanation:

f(x) = 4x² – 8 is a parabola, a U shape.

Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.

y > -8  because the minimum is -8.

Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.

Quadratic standard form:

f(x) = ax² + bx + c

"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.

"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.

"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.

7 0
3 years ago
A number cube has faces numbered 1 through 6, and a coin has two sides, "heads" and "tails". The
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Answer:

The <em>required probability</em> is \dfrac{1}{12}.

Step-by-step explanation:

Let <em>A </em>be the event of rolling the number cube.

Let <em>B</em> be the event of tossing the coin.

Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.

\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}

where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.

Formula for probability of an event <em>E</em> is:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.

Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.

\Rightarrow P(E) = \dfrac{1}{12}

6 0
3 years ago
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Answer:

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Step-by-step explanation:

Use the factorial of 6 to find this solution.  Namely, 6!

This means 6*5*4*3*2*1 which equals 720

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