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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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Given A, B, and C are collinear. The ratio of AB to AC is 3:4. Find the y coordinate of A if B(3, -1) and C(5, -3).
Lana71 [14]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
A dairy farmer wants to mix a 85% protein supplement and a standard 55% protein ration to make 1200 pounds of a high-grade 80% p
mr_godi [17]

The diary farmer should use 1000 pounds of 85 % protien and 55 % of 200 pounds to make 1200 pounds of a high-grade 80% protein ration

<em><u>Solution:</u></em>

Let the amount of 85 % protien supplement be "x"

Then amount of 55 % protien be (1200 - x)

According to given question,

85 % of "x" protien supplement + 55 % of 1200 - x protien used to get 80 % of 1200 pounds

85 % of x + 55 % of (1200 - x) = 80 % of 1200

\frac{85}{100} \times x + \frac{55}{100} \times (1200 - x) = \frac{80}{100} \times 1200\\\\0.85x + 0.55(1200 - x) = 960\\\\0.85x + 660 - 0.55x = 960\\\\0.3x = 960 - 660\\\\0.3x = 300\\\\x = 1000

Pounds of 85 % protien used = 1000 pounds

Then pounds of 55 % protien used = 1200 - 1000 = 200 pounds

Thus he should use 1000 pounds of 85 % protien and 200 pounds of 55 % protien to get 1200 pounds of a high-grade 80% protein ration

7 0
3 years ago
Use the figure to complete the sentence.
Andrew [12]
I think 2 is the answer i might be wrong
4 0
3 years ago
Given the equations 4x−py=6 and 5x+7y=10, find (a) the value of p that makes the lines parallel and (b) the value of p that make
Lubov Fominskaja [6]

Step-by-step explanation:

(a) the value of p that makes the lines parallel :

=> -4/-p = -5/7

5p = 7×(-4)

5p = -28

p = -28/5 = -5.6

(b) the value of p that makes the lines perpendicular :

=> -4/-p = -1 ÷ (-5/7)

4/p = 7/5

7p = 4×5

7p = 20

p = 20/7 = 2.86

5 0
3 years ago
Helppp plzzzz N+5n=
ankoles [38]
I’m pretty sure it’s 6n
3 0
3 years ago
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