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r-ruslan [8.4K]
3 years ago
12

Please help. Questions in the picture.

Mathematics
1 answer:
jeyben [28]3 years ago
4 0

Answer:

Step-by-step explanation:

(2 , 0)  ; (0, 1)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\

          = \frac{1-0}{0-2}\\\\=\frac{1}{-2}\\\\\\=\frac{-1}{2}

m = -1/2 ; (2 , 0)

Equation of the line : y - y1 = m(x - x1)

                                  y - 0 = \frac{-1}{2}(x-2)\\\\     y = \frac{-1}{2}x - 2*\frac{-1}{2}\\\\\\     y = \frac{-1}{2}x+1

slope = (-1/2)

y - intercept = 1

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Brian has 42 tickets. He sells 5/6 of the tickets. How many tickets did he sell?
Nimfa-mama [501]
42/6 is 7 so do 7 * 5 which is 35 so he sold 35 tickets
8 0
3 years ago
Read 2 more answers
Demonstrate two different ways to solve the equation 5^(2x+1) = 25.
Tanzania [10]

Answer:

Step-by-step explanation:

Method 1: Taking the log of both sides...

So take the log of both sides...

5^(2x + 1) = 25

log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...

(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...

(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...

(2x)log 5 + log 5 - log 5 = log 25 - log 5

(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)

(2x)log 5 = log 5 <-- divide both sides by log 5

(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..

2x = 1

x=1/2

Method 2

5^(2x+1)=5^2

2x+1=2

2x=1

x=1/2

3 0
3 years ago
Jim has only dimes and nickels in his coin bank. He has 37 coins with a total value of $2.65.
guajiro [1.7K]

Answer:

21

Step-by-step explanation:

Let x represent the number of dimes and y represent the number of nickels.  The total number of coins is 37; this gives us the equation

x+y = 37

Each dime is worth ten cents, or 0.10, and each nickel is worth five cents, or 0.05.  The total amount of money is given by

0.10x+0.05y = 2.65

This gives us the system

\left \{ {{x+y=37} \atop {0.10x+0.05y=2.65}} \right.

To solve this, we will use substitution.  We will isolate x in the first equation:

x+y=37

Subtract y from each side:

x+y-y = 37-y

x = 37-y

Substitute this into the second equation:

0.10(37-y)+0.05y = 2.65

Using the distributive property,

0.10(37)-0.10(y)+0.05y = 2.65

3.70-0.10y+0.05y = 2.65

Combining like terms,

3.70-0.05y = 2.65

Subtract 3.70 from each side,

3.70-0.05y-3.70 = 2.65-3.70

-0.05y = -1.05

Divide both sides by -0.05:

-0.05y/-0.05 = -1.05/-0.05

y = 21

There were 21 nickels.

4 0
3 years ago
Read 2 more answers
Find the probability of having 2,3, or 4 successes in five trials of a binomial experiment in which the probability of success i
Georgia [21]

Answer:

65.3%

Step-by-step explanation:

Binomial distribution PMF below (along with a description)

the probabilty of getting 2, 3, or 4 successes in 5 trials is just

p(2)+p(3)+p(4)

p(2)= 5C2*.4²*(1-.4)³ = .3456

p(3)= 5C3*.4³*(1-.4)²= .2304

p(4)= 5C4*.4⁴*(1-.4)=.0768

.3456+.2304+.0768= .6528

6 0
3 years ago
-8.5÷3.4 how to solve this step by step
sertanlavr [38]
You have to move both decimals over and then divide. So the answer is 25.

3 0
3 years ago
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