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puteri [66]
3 years ago
5

Find the answers to the following:

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

A) y=mx+b

B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.

C) m= rise/run =y2-y1/x2-x1

D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.

E)The y-intercept of the line is the value of y where the line crosses the y-axis.

F)The x-intercept of the line is the value of x where the line crosses the x-axis.

G) The point-slope formula is y-y1=m(x-x1)

H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant

I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant

J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.

K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees

L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.

M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines

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Buddy and bubbles are two of Santa’s elves. Buddy can make 15 toys per hour while Bubbles can make 12 toys per hour. Write two e
igor_vitrenko [27]

Answer:

y=27x

Step-by-step explanation:

If Buddy makes 15 toys per hour we can use the expression [15x=y] (let x be # of hours worked). If Bubbles makes 12 toys per hour we can use the expression [12x=y]. To find out the number of toys they make together we can just find the total number of toys they make in an hour. (Combine the 2 equations).

15x+12x=y

27x=y

5 0
3 years ago
A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight?
Nadya [2.5K]

Answer: 0.95

Step-by-step explanation: 1.0 and 10% is 0.10 so 5% is 0.5 and if u take 0.5 away from 1.0 it’s 0.95

7 0
3 years ago
I need help on fractions
Sav [38]
Ok I can help just tell me the problem
5 0
3 years ago
Please help me.
mart [117]

Since they are similar both dimensions would have the same ratio. The ratio of 5 and 15 is 3. 15 is 3 times larger than 5, so the unknown dimension is 3 times larger than the known dimension.

3 x 10 = 30

The unknown dimension is 30

5 0
3 years ago
Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market
xenn [34]

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

3 0
3 years ago
Read 2 more answers
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