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3 years ago

11

Graph the function. y = 7(6)x+2 + 1

1 answer:

mrs_skeptik [129]3 years ago

8 0

Solution:
Graph:

y=7×6x+2+1

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How to solve for probability

kirill [66]

Solution: The sum of probabilities of all the sample points must equal 1. And the probability of getting a head is equal to the probability of getting a tail. Therefore, the probability of each sample point (heads or tails) must be equal to 1/2. Let's repeat the experiment of Example 1, with a die instead of a coin.

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3 years ago

help? this is so simple but i cant solve.

babunello [35]

Answer:

I think it is distrubuting propetry

Step-by-step explanation:

Im very sorry if I get it wrong

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3 years ago

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

3 years ago

Write 3 different ratios that are equivalent to 7:3

Maslowich

Answer:

Ratio 1= 14:6

Ratio 2=21:9

Ratio 3=28:12

Step-by-step explanation:

7:3

7×2=14

3×2=6

=14:6

7×3=21

3×3=9

=21:9

7×4=28

3×4=12

=28:12

5 0

3 years ago

The perimeter of a kite is 50 mm. The length of one of its sides is 1 mm more than twice the length of another. Find the length

rosijanka [135]

Answer:

The length of the longest side is 13mm

Step-by-step explanation:

Represent the two sides with a and b, where a is the longest

$Perimeter = 50$

$a=b + 1$

Required

Determine the length of the longest side

Perimeter of a kite is calculated as thus:

$Perimeter = 2(a + b)$

Make b the subject in $a=b + 1$

$b = a -1$

Substitute a - 1 for b and 50 for Perimeter in $Perimeter = 2(a + b)$

$50 = 2(a + a - 1)$

Divide through by 2

$25 = a + a - 1$

$25 = 2a- 1$

Add 1 to both sides

$25 + 1 = 2a - 1 +1$

$25 + 1 = 2a$

$26 = 2a$

Solve for a

$a = 26/2$

$a = 13$

<em>Hence, the length of the longest side is 13mm</em>

4 0

3 years ago