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3 years ago

Help me please!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Oxana [17]3 years ago

7 0

Answer:f(x)=x2 +1

Step-by-step explanation:

The one represents C in the standard form and it can also be used to represent graph placement so +1 can also represent the vertex going up 1 on the y

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2(x-1)=x+4 don't understand how to solve this

Masteriza [31]

Answer:

x=6

Step-by-step explanation:

2(x-1)=x+4 multiply 2 to x and -1

2x-2=x+4 put your variables and numbers on the same sides by + or -

x=6 there's your answer! :)

7 0

3 years ago

A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1),

lana [24]

Answer:

(9) $\frac{1}{12}$ (10) $\frac{1}{12}$ (11) $\frac{5}{12}$ (12) $\frac{1}{4}$ (13) $\frac{1}{6}$ 14) $\frac{5}{36}$ (15) $\frac{1}{12}$ (16)0

Step-by-step explanation:

The sample Space of the single die rolled twice is presented below:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}.

n(S)=36

(9)Probability of getting two numbers whose sum is 9.

The possible outcomes are: (3, 6), (4, 5), (5, 4)

$P(\text{two numbers whose sum})=\frac{3}{36}=\frac{1}{12}$

10) Probability of getting two numbers whose sum is 4.

The possible outcomes are: (1, 3),(2, 2),(3, 1),

$P(\text{two numbers whose sum})=\frac{3}{36}=\frac{1}{12}$

11.)Find the probability of getting two numbers whose sum is less than 7.

The possible outcomes are: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)

$P(\text{two numbers whose sum is less than 7})=\frac{15}{36}=\frac{5}{12}$

12.Probability of getting two numbers whose sum is greater than 8

The possible outcomes are:(4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)

$P(\text{two numbers whose sum is greater than 8})=\frac{9}{36}=\frac{1}{4}$

(13)Probability of getting two numbers that are the same (doubles).

The possible outcomes are:(1, 1)(2, 2), (3, 3), (4, 4), (5, 5), (6, 6)

$P(\text{two numbers that are the same})=\frac{6}{36}=\frac{1}{6}$

14.Probability of getting a sum of 7 given that one of the numbers is odd.

The possible outcomes are: (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)

$P(\text{getting a sum of 7 given that one of the numbers is odd.})=\frac{5}{36}$

(15)Probability of getting a sum of eight given that both numbers are even numbers.

The possible outcomes are: (2, 6), (4, 4), (6, 2)

$P(\text{getting a sum of eight given that both numbers are even numbers.})=\frac{3}{36}\\=\frac{1}{12}$

16.Probability of getting two numbers with a sum of 14.

$P(\text{getting two numbers with a sum of 14.})=\frac{0}{36}=0$

4 0

4 years ago

Simplify each expression by combining like terms. 4a+8b Please explain if you can

Drupady [299]

4(a+2b) you have to factor out 4 from the expression

7 0

3 years ago

Consider the figures below. Select all of the following statements that are correct about the figures. And there is figure 1 an

AURORKA [14]

Answer:

A The area of both figures are equal.

B. The area of the rectangle is 15 m2.

Step-by-step explanation:

Area of rectangle:

Base × height

5 × 3 = 15 units²

Area of triangle:

½ × base × height

½ × 6 × 5 = 15 units²

3 0

3 years ago

In the triangle below,∠1= 35° and ∠6 = 70°. WHat is the measurement of ∠4? ∠4= ?°

julia-pushkina [17]

Answer:

145°

Step-by-step explanation:

< 6 + <2 = 180° {being linear pair }

70° + < 2 = 180°

< 2 = 180° - 70°

< 2 = 110°

Now

< 4 = < 1 + < 2 (exterior angle of a triangle is equal to the sum of two opposite interior angles)

<4 = 35° + 110°

= 145°

Hope it will help :)

8 0

3 years ago