Help me with this math, please!! <3

Step-by-step explanation:

the key is x = 0.

also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.

let's test it.

a linear function is a line :

y = ax + b

remember, x = 0 is a key element.

y = a×0 + b

-3 = a×0 + b

-3 = b

so, we know, the line function is

y = ax - 3

now, for the a. let's use the next xy pair (1, 1).

1 = a×1 - 3

4 = a

aha ! our line function is therefore

y = 4x - 3

verify with the next 2 points (2, 5) and (3, 9)

5 = 4×2 - 3 = 5 correct

9 = 4×3 - 3 = 9 correct

linear type and equation confirmed.

the second table :

yes, we see relatively big y values compared to the x values.

and the y values follow the powers of 2

so it seems to to be exponential.

64 = 2⁶

32 = 2⁵

16 = 2⁴

8 = 2³

so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.

the old trick : c-x.

again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.

64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶

=> c = 6

so, we suspect the exponential function

y = 2^(6-x)

let's verify with the other points

(1, 32)

32 = 2^(6-1) = 2^(5) = 32 correct

(2, 16)

16 = 2^(6-2) = 2^(4) = 16 correct

(3, 8)

8 = 2^(6-3) = 2^(3) = 8 correct

so, yes, it is the exponential function

y = 2^(6-x)

[tex]a) \: x \times x \times x = x {}^{3} \\ b) \: y \times y \times y \times y \times y = y {}^{5} [/tex]

Answer:

a) x³

b) [tex]y^{5}[/tex]

Answer:

6y + 3

Step-by-step explanation:

Answer: I'm almost 100% its -58

Answer:

the distributive property

Step-by-step explanation:

it allows us to multiply each term of the first polynomial by each term of the second

PLS mark Brianliest

[tex]\sf 1) \ \large \boldsymbol {} \displaystyle 2 \frac{33}{40} +4\frac{3}{8} =2+\frac{33}{40}+4+\frac{3}{8}^{/5} =6+\frac{33+15}{40} = \\\\\\ 6\frac{48}{40} =7\frac{8}{40} =\boxed{7\frac{1}{5} } \\\\\\\\ 2) \ 2\frac{3}{8} +1\frac{1}{3} =2+1+\frac{3}{8}^{/3}+\frac{1}{3} ^{/8} =3+\frac{9+8}{24} =\boxed{3\frac{17}{24}} \rm \ cups[/tex]

Answer:

34.4%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that I win the first prize and my mom wins the second prize would be 8/720

Answer:

you need 13.5 water stations

Step-by-step explanation:

1 km = 1000 meters

5km = 5000 meters

(5,000m / 400m) + 1  = 13.5

The bag of dog food would last for 21 days.

The bag contains 42 cups of dog food. If the dog eats [tex]2\frac{1}{3}[/tex] cups everyday, the amount of cup in the bag decreases by [tex]2\frac{1}{3}[/tex] cups everyday. This can be represented with this expression: 42 - [tex]2\frac{1}{3}[/tex]d. Where d represents the number of days.

In order to determine the number of days in which the bag would be emptied, this equation can be used:

Number of days the dog food would last = number of cups in the cup / amount the dog eats each day

42 ÷ [tex]2\frac{1}{3}[/tex]

42 ÷ [tex]\frac{7}{3}[/tex]

42 x [tex]\frac{3}{7}[/tex] = 21 days

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Answer:The percent increase is 20%.

Step-by-step explanation:

It's fairly simple.

Multiply 10 by (100/10) which is 10 to get 100.

Multiply 12 by 10 to get 120.

120 - 100 = 20

Answer:9/16

Step-by-

its 9/16 because in total there 16 pens so the  the probabillty of getting a red  and blue pen is combined the amount there is and you put the total number  of pens as the denominator

Answer:

81.75

Step-by-step explanation:

First, find the median of all the answers.

78.25,  77.75, and 84 = 80 (median)

now that we know 80 is the median, we will add it to our solution.

And still, there is no OTHER TEST in to make this stay 80.

78.25, 77.75, 84, and 80 = 79.125

since this is incorrect, we go higher.

78.25, 77.75, 84 and 81 = 79.625

since this is also incorrect, we go higher.

78.25, 77.75, 84 and 82 = 80.125

since this is higher and incorrect, we will go lower to 81.5.

78.25, 77.75, 84 and 81.5 = 79.875

since this is lower AND 82 is not the correct solution, we will go up by 0.25.

78.25, 77.75, 84 and 81.75 = 80

To check, we will do the problem again.

78.25, 77.75, 84 and 81.75 = 80

So, the solution is 81.75

Answer:

What are they making you do

Step-by-step explanation:

Answer:

angles 2 and 10 are corresponding Angles while angles 6 and 11 are alternate Angles

Answer:

1. False   Same side exterior angles refers to same side transversal An example; opposite ends both same side of transversal. see 2nd attachment.

2. False   interior alternate are both interior alternate on a Z 3 would be alternate with 6 as both are within the z and diagonally opposite at ends of the z shape.

3. True  (yes both same sides of transversal one is left of parallel line the other is left of the next parallel.

4. False ( 12 is only alternate with 1 as alternate is within the z shape as exterior and opposite sides of the transversal)

Step-by-step explanation:

Alternate Interior Angles – Alternate interior angles are the pair of angles on the inner side of the two parallel lines but on the opposite side of the transversal. Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal

Same side exterior angles - are seen on the blue spots on the 2nd diagram transversal

Answer:

[tex]y = \frac{1}{2} x - 1[/tex]

Explanation:

The first pic shows the line graphed, while the second pic shows how to turn the equation into proper slope-intercept form.

The only steps the second pic is missing however, is flipping the sides around to be better understood (optional), and more importantly subtracting 2 on both sides in order to move it to the other side, to get 2y = x - 2. And dividing the 2 on both sides to get y by its self, to get:

y = (x-2)/2 , or y = 1/2 x - 2/2 , which if you notice 2/2 makes it equal to one whole so your answer is y = 1/2 x - 1 .

If you like this answer can you please mark me brainliest? :)

Answer:

a and c

Step-by-step explanation:

Answer:

x=26.6 when y=8

Step-by-step explanation:

y=Kx, k=y/x, when y is 3 and x is 10,

k=3/10= 0.3

but when y is 8, x will be given by

x=y/k

x=8/0.3

x=26.6 approximately 27

Answer:

[tex]3 \frac{11}{27} \\ [/tex]

Step-by-step explanation:

[tex](2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ [/tex]

Answer:

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-3 + -9 = 12

hope this helps

Answer:

-12

Step-by-step explanation:

-3 + -9

turns into

-3 - 9

Which means on the number line, we start at -3 and move to the left 9 units.

When we move to left on the number line by 9, we are at -12.

Which means -3 - 9 (-3 + -9) = -12

Answer:

33.333

Step-by-step explanation:

I looked up the answer

Answer:

2

Step-by-step explanation:

The probability of a student taking AMDM given they are taking Physics is 39.51%.

Since a school counts the number of students taking AMDM and find 225 students taking AMDM, and they also count the number of students taking Physics and find 248 students taking the Physics, and when they compare the two lists they find 98 student taking AMDM and Physics, to determine what is the probability of a student taking AMDM given they are taking Physics, the following cross multiplication calculation must be performed:

Therefore, the probability of a student taking AMDM given they are taking Physics is 39.51%.

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Answer:

Interval Notation : ( -3, ∞)

Step-by-step explanation:

graph:

Answer:

y = -3/4x + 2

Step-by-step explanation:

y = -3/4x + b

5 = -3/4(-4) + b

5 = 3 + b

2 = b

Answer:

√3(√6+√15)

= 3**1/2(6**1/2 + 15**1/2)

= 3**1/2 · 6**1/2 + 3**1/2 · 15**1/2

= 18**1/2 + 45**1/2

= (2×9)**1/2 + (5×9)**1/2

= 2**1/2 · 9**1/2 + 5**1/2 · 9**1/2

= 2**1/2 · 3 + 5**1/2 · 3

= 3(√2 + √5)

Step-by-step explanation: