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White raven [17]
1 year ago
6

Identify the slope and y-intercept of the function y = -2x + 3. O A. The slope is 3. The y-intercept is (0,2). OB. The slope is

3. The y-intercept is (0, -2). O C. The slope is 2. The y-intercept is (0,3). O D. The slope is -2. The y-intercept is (0,3).

Mathematics
1 answer:
monitta1 year ago
7 0

Since the slope-intercept form of a line is given by the expression:

y=mx+b

Where, m is the slope and b is the y-intercept.

Then, for the function:

y=-2x+3

The slope is -2 and the y-intercept is (0, 3)

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360 words in 1/12 hour. Second try 360 words in 1/15 hour. Was he faster or slower second attempt
xxTIMURxx [149]

Answer:

Second Attempt is faster.

Step-by-step explanation:

He reads 360 words in \frac{1}{12} hour in the first attempt and in the second attempt he reads the same number of words in \frac{1}{15} hour.

Since, $ \frac{1}{15} < \frac{1}{12} $ he takes less time in the second time. Less time means the work is done faster.

Therefore, second attempt is faster.

8 0
3 years ago
Suppose 2 /7 of students in your school wore shorts today. How many students would you have to select randomly, on average, in o
Sveta_85 [38]

Answer: 49 students

Step-by-step explanation:

2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:

Let the number of students that will be sampled be y. This will be:

2/7 of y = 14

2/7 × y = 14

2y/7 = 14

Cross Multiply

2y = 7 × 14

2y = 98

y = 98/2

y = 49

49 students will be selected randomly.

8 0
3 years ago
Jean-pierre consumes only apples and bananas. he prefers more apples to less, but he gets tired of bananas. if he consumes fewer
Art [367]
Bundle (31 , 40) has 40 bananas.
So 40 - 28 = 12 bananas
These 12 banana give the consumer negative utility which will be balance one for one apple.
So we have to need 12 apple to balance it.
So the final utility of apples and banana is 28 + (31 - 12) = 28 + 19 = 43
In second bundle (X , 23) has 23 bananas. We need to get the same utility 43.
Which we will get from 43 - 23 = 20 apples.
So X equal to 23.
3 0
3 years ago
Eqfrtvwetsbhsrtzdvcsrtbdhv
makkiz [27]

Answer:

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Step-by-step explanation:

6 0
2 years ago
Line Segment BC has endpoints B (3,5) and C (7,15). Find the missing coordinates of A (x,9) and D (17,y) such that AB and CD are
o-na [289]

Answer:

<em>x=-7</em>

<em>y=11</em>

Step-by-step explanation:

<u>Perpendicular Vectors</u>

Two vectors defined as their endpoints \vec u= and \vec v= are perpendicular if their dot product a.b is zero. The dot product is

\vec u.\vec v=ac+bd

In other words

ac+bd=0

Let's treat all the points as the extremes of vectors, so we can easily find the missing coordinates

B (3,5) and C (7,15) define a segment, the vector  

\overrightarrow{BC}==

The point A is A (x,9), we need to form a vector with B

\overrightarrow{AB}==

this vector must be perpendicular to BC, so, applying the dot product we have

4(x-3)+40=0

4x-12=-40

x=-7

The point D is D(17,y), we need to form a vector with C

\overrightarrow{CD}==

this vector must be perpendicular to BC, so, applying the dot product we have

(4)(10)+(10)(y-15)=0

40+10y-150=0

10y=110

y=11

The points are

\boxed{A(-7,9), D(17,11)}

4 0
3 years ago
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