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3 years ago

Josie is trying to find a solution to the equation x = ln(2) +2. She uses her graphing

Mathematics

1 answer:

asambeis [7]3 years ago

8 0

Considering where these functions cross, we have that the two integer x-values between which there is a certainly a solution are given by:

B) 3 and 4

<h3>How do we find where there is a solution?</h3>

If in an interval a function starts greater/smaller than another, and this changes, that is, it becomes smaller/greater than the other function, there is a solution in the interval.

In this problem:

Until x = 3, we have that $y_1 < y_2$ .

From x = 4 onwards, we have that $y_1 > y_2$ .

Considering these two bullet points above, it guarantees that there is a solution between x = 3 and x = 4, hence option B is correct.

You can learn more about logarithmic functions at brainly.com/question/25537936

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Use properties of shapes and angles to find the missing measures.

guapka [62]

Answer:

< 1 = 130°, < 2 =50°, < 3 = 50°, < 4= 30°, < 5 = 70°, < 6 = 50°, < 7= 60°, < 8 = 40°, < 9 = 40°, < 10 = 50°, < 11 = 50°, < 12 = 130°, < 13 = 140°, < 14 =40° , < 15 = 140°

Step-by-step explanation:

< 4 = 90- 60 = 30° because angle 4 and angle 60° are complementary

< 5 = 70°, because vertical angles are congruent

< 2 = 180-130 = 50 °, because 130 ° and 2 are a linear pair

< 6 = 180-130 = 50 °, because 130 ° and 2 are a linear pair

because < 2 = < 6 and are alternate exterior angles then two lines are parallel

<13 = 140°, corresponding angles

< 13 = < 15 = 140°, vertical angles

< 8 = < 9 = < 14 = 180-140 = 40°, linear pair and vertical angles

< 3 = 180-90-40= 50 °, because the sum off all angles in a Δ is 180°

< 3= < 10 = < 11 =50° vertical angles , and corresponding angles

< 7= 180 -70 -50 = 60°, because the sum off all angles in a Δ is 180°

<1 = <12 = 180 -50 = 130°, linear pair and vertical angles

4 0

3 years ago

Y=-x+1<br> -2x-y=2 substitution

UNO [17]

Step-by-step explanation:

$y=-x+1 \\ -2x-y=2$ given

$- 2x-( - x + 1)=2 \\ - 2x + x - 1 = 2 \\ - x = 2 + 1 \\ - x = 3 \\ x = 3$

put x

$-2( - 3)-y=2 \\ 6 - y = 2 \\ - y = 2 - 6 \\ - y = - 4 \\ y = 4$

8 0

3 years ago

PLEASE HELP!!!!!!!!

Anastaziya [24]

Answer:

There are 76 students:

g + b = 76

girls is 13 more than twice the boys:

g = 2b + 13

replace g with 2b + 13 in 1st equation

2b+13+b = 76

3b + 13 = 76

3b = 63

b = 21 boys

g = 76-21 = 55 girls

Step-by-step explanation:

8 0

3 years ago

Catty has 6 cookies Shelly takes away 3 how many cookies does Catty have left

serg [7]

Answer:

Step-by-step explanation:

6-3=3

8 0

3 years ago

Read 2 more answers

How do i change the area using a scale factor

SCORPION-xisa [38]

The scale factor is what you will use to make a whole shape bigger. For example if I have a square that all sides are 3 cm and the scale factor is 5 then the new square would have all sides 15 cm. So the length multiplied by the scale factor gives you the new length so then you take the new measurements and multiply them to get your new area. Hope this helps!!!!

7 0

3 years ago