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qaws [65]
3 years ago
8

What are the x- and y-intercepts of the graph of y = x2 − 10x + 21?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
5 0
To solve for the X intercepts make y equal to 0. Then factor the quadratic. It would become (X-7)(X-3)=0. Solve for x in each case and the X intercepts are (3,0) and (7,0). The y intercept can be determined by making the X variables in the above quadratic equal to 0. The y intercept is 21, or (0,21).
Natalka [10]3 years ago
3 0

Answer:

y intercepts: y = 21

x intercepts: x = 3 and x = 7

Step-by-step explanation:

The given graph is y = x² - 10x + 21

We have to find the x and y intercepts of the given graph.

Since we know for x- intercepts we equate y = 0 and for y-intercepts we put x = 0

Now for x-intercepts

x² - 10x + 21 = 0

x² - 7x - 3x + 21 = 0

x(x - 7) - 3(x - 7) = 0

(x - 3)(x - 7) = 0

x - 7 = 0

x = 7

Or x - 3 = 0

x = 3

Therefore, there are two x intercepts x = 3 and x = 7

Now for y-intercepts

y = 0 - 0 + 21

y = 21

Therefore, x intercepts are; x = 3 and x = 7 and y intercept is y = 21

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Consider a population of size N = 100 with the three individual mutants with relative growth rate rA = 2, rB = 1.01, and rC = 0.
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Answer 1 / 25

Step-by-step explanation:

The probability that the first

of the three mutants will take over the population = 2 / 100

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of the three mutants will take over the population = 1.01 / 100

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of the three mutants will take over the population = 0.99 / 100

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Read 2 more answers
Please help me, this is PEDMAS
rusak2 [61]

Answer:

1). 183

2). 83

3). 353

4). -2652

5). 59

6). 510

7). -293

8). 79

9). 78

10). 87

Step-by-step explanation:

Considering order of operation, parenthesis must be simplified first.

The solutions to the given questions are shown below;

1). \ \ 5+(7\times (3+2)^2) + 3=8 +  (7\times (5)^2)  = 8 + (7\times 25) = 8 + 175 = 183

2). \ 16+(8+ (6+2)^2) - 5=16-5 +  (8+ (8)^2)  = 11 + (8+64) = 11 + 72 = 83

3). \ (15+ 3)^2 + ((14+6)+3^2)= (18)^2 + ((20) + 9) = 324 + (29) = 353

4). \ ((11+ 2)-(24+2)^2)\times 2^2 = (13 - 676) \times 4  = (-663)\times 4 = -2652

5). \ ((4+3)^2+ 6) -5+3^2= (49 + 6) - 5 + 9= (49+6+9) - 5 = 64-5 = 59

6). \ (20+ 2)^2 +((15+7)+2^2)= (484) + (22+ 4)= 484 + 26 =510

7). \ ((12 + 4)- (15+3)^2+ 5^2 = (16 -  324) + 25 = -318 + 25 = -293

8). \ (6^2+ (24+ 3+5^2)) - 3^2= (36 + (52)) - 9 = (88) - 9 = 79

9). \ ((10-4)^2\times 2) + 2 + 2^2= ((6)^2 \times 2) + 2 + 4 = (36\times 2)+ 6 = 72 + 6 = 78

10). \ (7^2 + (16 + 8 + 2^2)) + 3^2 = (49 + 28) + 9 = 78 + 9 = 87

3 0
2 years ago
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