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SOVA2 [1]
3 years ago
14

5

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Step-by-step explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7

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María is making fruto punch for her family reunión. She uses 6 quarts of ginger ale, 8 quarts of lemonade, and 10 quarts of rasp
expeople1 [14]

Answer:

6 gallons of punch makes her recipe.

Step-by-step explanation:

Given:

Quarts of ginger ale (g) = 6

Quarts of lemonade (l) = 8

Quarts of raspberry (r) = 10

Therefore, the total volume of fruto punch is equal to the sum of the volume of each of its ingredients.

So, Total volume = g+l+r

Total volume = 6 + 8 + 10 = 24 quarts

Now, we know that,

1 quart = 0.25 gallons

Therefore, from unitary method,

24 quarts = 24 × 0.25 = 6 gallons of punch

Therefore, 6 gallons of punch makes her recipe.

3 0
4 years ago
Read 2 more answers
PLEASE HELP 70 POINTS
AlexFokin [52]

Answer:

-1 = -5

0 = -1

2 =  5

Step-by-step explanation:

In order to do this you need to follow these five (5) steps:

1) Know what each of the variables mean in an equation of a line. The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness  of a line and the y-intercept is the point where the line intersects  the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)

2) Identify the m (slope) and the b (y-intercept). The slope is 3, which can also be written as 3/1. The y-intercept is -1. (Remember that subtraction of 1 is the SAME thing as adding -1!) Since the y-intercept is a point it will be plotted at (0, -1).

3) Plot the y-intercept first. Start at the origin (intersection of the x- and y-axes) since the x coordinate is 0. Then move DOWN 1 unit since the y-coordinate is negative.

4) Use the m (slope) to plot at least three new points. The slope can also be represented as "rise/run" or the amount of units that you move UP or DOWN (vertically), then LEFT or RIGHT (horizontally). (Remember: if the numerator is positive (move UP); numerator is negative (move DOWN); denominator is POSITIVE (move RIGHT); denominator is NEGATIVE (move LEFT)). Since our slope is 3/1, and both the numerator and denominator are POSITIVE, that means we will be "rising" (moving UP) 3 units and "running" (moving RIGHT) 1 unit.

Start at the y-intercept  of (0, -1) and move up 3 units and to the right 1 unit. You should be at (1, 2). Plot a point here. Then do it again. You should now be at (2, 5). Plot another point. Now, do it one more time. You should now be at (3, 8). Plot your last point. (If you wish to continue plotting additional points, feel free to do so.)

4 0
3 years ago
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Brainliest answer to whoever is right,<br> (6b - 4)(b - 8) = 0.<br> Solve for b
liubo4ka [24]

There are two answers.

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