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3 years ago

Convert the quadratic equation y = 2(x - 3)^2 + 1 to standard form.

Mathematics

2 answers:

Nata [24]3 years ago

5 0

Answer:

$2x^2-12x+19$ - Your Answer

Step-by-step explanation:

$2(x^2-6x+9)+1$

$2x^2-12x+18+1$

$2x^2-12x+19\\$

Tasya [4]3 years ago

5 0

Answer:2 $x^{2}$ -12x + 19

Step-by-step explanation:

y = 2(x - 3)^2 + 1

=2( $x^{2}$ - 6x+9) + 1

=2 $x^{2}$ -2.6x + 2.9 + 1

=2 $x^{2}$ -12x + 18 + 1

=2 $x^{2}$ -12x + 19

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7003:24= 1004:37= 2548:46= 5781:46=

Musya8 [376]

7003/24 = 291 19/24, can also be written as 291.791667
1004/37 = 27 5/36, can also be written as 27.135135
2548/46 = 55 18/46, can also be written as 55.391304
5781/46 = 125 31/46, can also be written as 125.673913

8 0

4 years ago

Read 2 more answers

Factor −6 out of −18a−30

fgiga [73]

Remark

This is like using the distributive principle only you are going backwards. Instead of trying to remove brackets, you are trying to create them.

Solution

Since you want to take - 6 outside the brackets you should divide both terms by - 6

- 18a: - 18a/- 6 = 3a which is left inside the brackets.

-30: - 30/-6 = 5

- 6(3a + 5)

Answer

-6(3a + 5)

6 0

4 years ago

Read 2 more answers

A probability experiment is conducted in which the sample space of the experiment is S 1,2,3,4, 5,6,7,8, 9, 10, 11, 12]. Let eve

Alenkinab [10]

Answer:

$E\ n\ F = \{1, 5, 6,7\}$

$F\ n\ G =\{9\}$

$F\ U\ G =\{1,5,6, 7, 8,9,10, 11, 12\}$

$P(F\ U\ G) = \frac{3}{4}$

Step-by-step explanation:

Given

$S = \{1,2,3,4, 5,6,7,8, 9, 10, 11, 12\}$

$E = \{1,2, 3, 4, 5, 6,7\}$

$F =\{1,5,6, 7, 8,9\}$

$G = \{9,10, 11, 12\}$

$H = \{2, 3, 4\}$

Solving (5): E and F

Sets of E and F = E n F

$E\ n\ F = \{1,2, 3, 4, 5, 6,7\}\ n\ \{1,5,6, 7, 8,9\}$

List out common elements

$E\ n\ F = \{1, 5, 6,7\}$

They are not mutually exclusive because $n(E\ n\ F) \neq 0$

Solving (6): F and G

Sets of F and G = F n G

$F\ n\ G =\{1,5,6, 7, 8,9\}\ n\ \{9,10, 11, 12\}$

List out common elements

$F\ n\ G =\{9\}$

They are not mutually exclusive because $n(F\ n\ G) \neq 0$

Solving (7): F or G and P(F or G)

Sets of F or G = F U G

$F\ U\ G =\{1,5,6, 7, 8,9\}\ U\ \{9,10, 11, 12\}$

List all elements without repetition

$F\ U\ G =\{1,5,6, 7, 8,9,10, 11, 12\}$

Solving P(F U G)

$P(F\ U\ G) = \frac{n(F\ U\ G)}{n(S)}$

$n(F\ U\ G) = 9$

$n(S) = 12$

Hence;

$P(F\ U\ G) = \frac{9}{12}$

Divide by 3

$P(F\ U\ G) = \frac{3}{4}$

6 0

3 years ago

Find the GCF from the two numbers, and rewrite the sum using the distributive property. 24 + 36

ser-zykov [4K]

Answer:

i dont really know to be honest

6 0

3 years ago

The sales tax rate is 5%, if Kayden buys the digital camera priced at $837.41 how much tax will he pay

cluponka [151]

Answer:

$41.87

Step-by-step explanation:

5% of 837.41 = 0.05 × 837.41 = 41.8705

7 0

3 years ago