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3 years ago

9

Someone please help me with these 2 problems :(

1 answer:

k0ka [10]3 years ago

7 0

If the discriminant b^2-4ac is 0, then you have TWO EQUAL, REAL ROOTS.

If you're given the x-intercepts, you can determine the factors of the polynomial as follows: Take -3, change the sign and write (x+3). Take 5, change the sign and write (x-5). Then the eq'n of the parabola is

f(x) = (x+3)(x-5) = x^2 - 2x -15, in which a=1, b = -2 and c= -15.

You can find the x-coordinate of the vertex, which is also the equation of the axis of symmetry, using

x= -b / (2a). Here, x = -(-2) / (2[1]), or x = 1

Find the y-coordinate by subbing 1 for x in the equation above:

y = (1)^2 - 2(1) - 15 = 1 - 2 - 15 = -16

The vertex is at (1, -16) and the equation of the axis of symm. is x = 1.

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Solve the given differential equation by separation of variables. csc(y) dx sec2(x) dy

Elden [556K]

Try this solution:
dx/siny=dy/cos2x;
sinydy=cos2xdx;
cosy=-1/2 sin2x+C.

3 0

3 years ago

78 round off to the nearest<br> ten

Alika [10]

Answer:

80

Step-by-step explanation:

6 0

2 years ago

Question 4: What is the solution of the system? *<br> .A<br> .B<br> .C<br> .D

DedPeter [7]

Answer:

C

Step-by-step explanation:

x+4y=-12

x+7y=-15

subtract

-3y=3

y=-1

x+4(-1)=-12

x=-12+4=-8

so point is (-8,-1)

4 0

2 years ago

Which of the following options have the same value as 30\%30%30, percent of 818181?

Nataly_w [17]

Answer:

Option B is correct = $0.3 \times 81$

Step-by-step explanation:

<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) $\frac{30}{100}\times 81 \times 100$

(B) $0.3 \times 81$

(C) $0.03 \times 81$

(D) $\frac{3}{10}\times 81 \times 10$

(E) $30 \times 81$

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

30% of 81 = $\frac{30}{100} \times 81$

= $\frac{3}{10} \times 81$ = $0.3 \times 81$

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

$\frac{30}{100}\times 81 \times 100$ = $30 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

$0.3 \times 81$

<u><em>This matches with our answer, so this option is correct.</em></u>

Option (C) is given;

$0.03 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

$\frac{3}{10}\times 81 \times 10$ = $3 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

$30 \times 81$

This doesn't match with our answer, so this option is not correct.

6 0

3 years ago

Hurry and answer. You spent $2 on candy for every $1 you spent on drinks at the circus. If you spent a total of $30 at the circu

REY [17]

I think it's 60 but don't mark that

4 0

2 years ago