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Dmitrij [34]
3 years ago
9

Identify the slope and y-intercept of the line!

Mathematics
1 answer:
marta [7]3 years ago
5 0

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

Solution:

General form of equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

Equation of a line:

$y=\frac{1}{2} x-7

To compare this with general equation.

$m=\frac{1}{2}

c=-7

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

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7. Emma says that Function A and
Soloha48 [4]

Answer:

NO. Emma is not correct.

Step-by-step explanation:

✔️Initial value for Function A:

The initial value is the y-intercept of the graph. The y-intercept is the point at which the line intercepts the y-axis. From the graph given, the line intercepts the y-axis, at y = 2, when x = 0.

Initial value for Function A is therefore = 2

✔️Initial Value of Function B:

To find the initial value/y-intercept for Function B, do the following:

Using two pairs of values form the table, (2, 2) and (4, 3), find the slope:

Slope (m) = ∆y/∆x = (3 - 2) / (4 - 2) = 1/2

Slope (m) = ½

Next, substitute (x, y) = (2, 2) and m = ½ into y = mx + b, to find the intial value/y-intercept (b).

Thus:

2 = ½(2) + b

2 = 1 + b

2 - 1 = b

1 = b

b = 1

The initial value for Function B = 1

✅The initial value for Function A (2) is not the same as the initial value for Function B (1). Therefore, Emma is NOT CORRECT.

4 0
3 years ago
6 3/10 divided by 9/5
ankoles [38]
60/3 ÷ 9/5
60/3 × 5/9
300/27
= 100/9
= 11 \frac{1}{9}
6 0
3 years ago
Read 2 more answers
(a) 26.8% of 67.5 is what?<br>(b) 215% of what number is 89.87?​
Alchen [17]

Part (a):

Turn percentage into a decimal.

26.8% = 0.268

Multiply.

67.5 * 0.268 = 18.09 (Answer)

Part (b):

Divide.

89.87 / 215 = 0.418

Turn into a whole number.

0.418 = 41.8 (Answer)

Turn percentage to a decimal to check.

215% = 2.15

Multiply

41.8 * 2.15 = 89.87

Hope This Helped! Good Luck!

6 0
3 years ago
Suppose a change of coordinates T:R2→R2 from the uv-plane to the xy-plane is given by x=e−2ucos(5v), y=e−2usin(5v). Find the abs
anzhelika [568]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The solution is  \frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}

Step-by-step explanation:

From the question we are told that

        x =  e^{-2a} cos (5v)

and  y  =  e^{-2a} sin(5v)

Generally the absolute value of the determinant of the Jacobian for this change of coordinates is mathematically evaluated as

     | \frac{\delta  (x,y)}{\delta (u, v)} | =  | \ det \left[\begin{array}{ccc}{\frac{\delta x}{\delta u} }&{\frac{\delta x}{\delta v} }\\\frac{\delta y}{\delta u}&\frac{\delta y}{\delta v}\end{array}\right] |

        = |\ det\ \left[\begin{array}{ccc}{-2e^{-2u} cos(5v)}&{-5e^{-2u} sin(5v)}\\{-2e^{-2u} sin(5v)}&{-2e^{-2u} cos(5v)}\end{array}\right]  |

Let \   a =  -2e^{-2u} cos(5v),  \\ b=-2e^{-2u} sin(5v),\\c =-2e^{-2u} sin(5v),\\d=-2e^{-2u} cos(5v)

So

     \frac{\delta  (x,y)}{\delta (u, v)} | = |det  \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] |

=>    \frac{\delta  (x,y)}{\delta (u, v)} | = | a *  b  - c* d |

substituting for a, b, c,d

=>    \frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 (e^{-2u})^2 cos^2 (5v) - 10 e^{-4u} sin^2(5v)|

=>   \frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 e^{-4u} (cos^2 (5v)   + sin^2 (5v))|

=>  \frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}

7 0
3 years ago
During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. the first c
omeli [17]

Answer:

50x+100=y
y=550

Step-by-step explanation:

Since the first caller can win $100, you add 100 onto the end. After you add 50 for every person who answered incorrectly. X being amount tried/answered incorrectly, and Y being the amount you can win at that given time

6 0
2 years ago
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