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Ulleksa [173]
3 years ago
7

Someone answer please will mark brainliest thank you

Mathematics
1 answer:
hoa [83]3 years ago
3 0

Answer:

Since \sqrt{1} \\ = 1 and \sqrt{4} = 2, it is known that \sqrt{2} is between 1 and 2.

You might be interested in
Solve the logarithmic equation: x= log5 (1/625)=
Verizon [17]
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:

5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625

so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625

x = log₅ 5⁻⁴

log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:

x = -4 is your answer

if the exponent dropping down doesn't make sense to you, you can think of it in another way:

x = log₅ 5⁻⁴

expand the expression so that the exponent moves in front of the log function:

x = (-4) log₅ 5

then, still, log base 5 of 5 simplifies to 1, so you're left with:

x = (-4)1 or x = -4
5 0
3 years ago
PLEASE HELP!!! I NEED THE ANSWER SOON :)
densk [106]
y=2x \newline y= x^{2} -3

Substitue 2x for y in the second equation:

2x= x^{2} -3

Rearrange to a x^{2} +bx+c=0 form:

x^{2} -2x-3=0

Factor:

(x-3)(x+1)=0

Zeros are x=3 and x=-1

To find y-coordinates of pts of intersection, plug these x-values into first equation to get y=-2 and y=6
4 0
3 years ago
Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop
Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_1,y_1) and (x_2,y_2) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m=\frac{-5--3}{-2--1}

simplify

m=\frac{-5+3}{-2+1}

add

m=\frac{-2}{-1}

divide

m=2

So the slope is <u>2</u>

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

<u>-1=b (the value of the y intercept!) </u>

Substitute -1 as b into the equation

<u>y=2x-1</u>

We found everything needed for this problem

Hope this helps!

8 0
3 years ago
5. Leyla will roll a number cube 1-4 and flip a coin. The coin can land on heads or tails. If Leyla rolls the number cube once a
mario62 [17]

Answer:

{4H, 4T}

Step-by-step explanation:

The list that contains only the outcomes where the number cube is more than 3 is given below:

Sample space is

= {1,2,3,4}

The results more than 3 is

S = {3}

After this, the sample space i.e. C when the coin is fippled is

C = {H, T}

Here H denotes the Head

T denotes Tail

So, the outcomes would be

= {4} + {H,T}

= {4H, 4T}

3 0
3 years ago
Ming is painting a picture. He has 2/3 pint of red paint, 2/8 pint of yellow paint and 2/6 pint of green paint. Which list order
vichka [17]

Answer:

2/3,2/6,2/8

Step-by-step explanation:

8 0
3 years ago
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