Use the distributive property to expand (3x + 4)(x + 1). Then select the simplified
expression.
a) 3x^2 + 7x - 4
b) 3x^2 - 7x + 4
c) 3x^2 + 7x + 4
d) 3x^2 - 7x - 4

Solve for cos(t) and sin(t):

x = 2 + 3 cos(t)   ⇒   cos(t) = (x - 2)/3

y = 1 - sin(t)   ⇒   sin(t) = 1 - y

Recall the Pythagorean identity,

sin²(t) + cos²(t) = 1

It follows that

((x - 2)/3)² + (1 - y)² = 1

or

(x - 2)²/9 + (y - 1)² = 1

Hey there mate :)

The sixth data is 16

The length of UV and RS is 72.2in and 114 in respectively

From the given truss. you can see that:
VW = UR = RS = 57in

Get the length of RS

To get the length of UV, we will use the expression

SU/UV = SR/RT

57/UV = 114/90

UV = 72.2in

Hence the length of UV and RS is 72.2in and 114 in respectively

Learn more on similarity theorem here: https://brainly.com/question/21247688

Answer:

No it is not a solution

Step-by-step explanation:

To solve this, you should replace your (x,y) with (8,3)- 8 being your x value and 3 being your y value.

So this inequality, your y value is supposed to be bigger than the value of whatever 3x-4 equals.

So, your inequality should be 3>3(8)-4

3*8=24-4=20

So is 3>(greater than)20? No. Which then means that (8,3) is not a solution because it would make the inequality not true.

Hope this helps!

Answer:

In 2016, the Giant Panda officially downgraded from "endangered" to "vulnerable". China is proposing a 3-step plan to save the giant pandas. The first step that they plan to take is to protect the giant panda's habitat. The second plan of action is to introduce more pandas into the wild. The final plan of action includes laws to stop panda hunting. China's government has set 13 panda nature reserve areas, with specific plants like bamboo to grow in these areas for giant pandas to feast on. China's government has also increased the punishment if you hunt giant pandas. If you're caught hunting pandas, you'll be sent to jail with a minimum 10-year sentence.

Attached is an image of a giant panda. Also, you posted this in the mathematics section. This should be posted in the English section, lol.

Answer:

what we can do is figure out how much 40/32 is when converted into a fraction. 40/32 is 125% when converted. this means the price increased by 25%

The positive integer c for the expression to have a rational root is 8

For a quadratic equation to have a rational root, then;

[tex]b^2-4ac =0[/tex]

From the given equation;

a = 3

b = 20

Substitute into the equation above to have:

20^2-4(3)c = 0

400 - 12c = 0

12c =100

c = 100/12

c= 8.3

Hence the positive integer c for the expression to have a rational root is 8

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Answer:because i know

Step-by-step explanation:

the first 2

Answer:

$96

Step-by-step explanation:

First you would divide 60 by 5 which gives you 12.

Second, you would times 12 by 8 which gives you $96.

Answer: first term (a)= 2

second term (b) = -8

common ratio (r) = -8/2 = -4

15th term = ar^ (n-1)

               = 2* (-4)^ 14 =536870912

Step-by-step explanation:

Answer:

536,870,912

Step-by-step explanation:

the formula for geometric sequences is:

aₙ = a₁·[tex]r^{n-1}[/tex]

where aₙ is, in this case the 15th term

r = common ratio which, in this case, is -4

a₁ = first value in the sequence

so:

a₁₅= 2(-4)^14

= 2(268,435,456)

= 536,870,912

Step-by-step explanation:

first we arrange the equation properly

secondly 3a=16-1 or 3a=16-1=15

y = 2x + 50

x = 5

So,

y = 2(5) + 50

y = 10 + 50

y = 60

Hence, option B, y = 60, is correct.

Step-by-step explanation:

we are looking for the greatest common factor of the 3 numbers.

e.g. by prime factorization :

18 = 2×3×3

36 = 2×2×3×3

45 = 3×3×5

the largest chain of prime factor multiplication that is contained in all 3 numbers is 3×3.

the GCF is therefore 3×3 = 9.

and that (9) is the largest possible number of bottles in one box.

oh, and Garth (18 bottles) bought therefore 2 boxes.

Rico (36 bottles) bought 4 boxes.

Mai (45 bottles) bought 5 boxes.

Answer:

3(-5(-2.9))

=43.5

[tex]3 \times \frac{1}{4} \div ( - \frac{2}{7} )[/tex]

[tex] = - 11.375[/tex]

hope it helps you

make me brainliest if u r ok with it

Answer:

50%

Step-by-step explanation:

A score of 100 on the current IQ test with a standard deviation of 15 points means you scored higher than about 25.14% of the population, based on the normal distribution and z-score calculation.

To find the percentage of the population that scored lower than a score of 100 on the IQ test,

Use the z-score formula and the standard normal distribution calculator.

The z-score formula is: z = (X - μ) / σ

Where,

X = The raw score (in this case, 100)

μ = The mean of the distribution (here, the mean IQ score)

σ = The standard deviation of the distribution (in this case, 15)

Now, let's calculate the z-score:

z = (100 - μ) / 15

Since we want to know the percentage of the population that scored higher than 100,

The area under the curve to the right of the z-score in the standard normal distribution calculator.

The standard normal distribution calculator provides the cumulative probability to the left of the z-score.

To get the percentage of the population that scored higher than 100, we subtract the cumulative probability from 1.

Using the calculator, if the z-score is approximately 0.67, then the cumulative probability to the left of the z-score is 0.7486.

The percentage of the population that scored higher than 100 is Percentage = 1 - 0.7486 ≈ 0.2514 or 25.14%

Therefore, a score of 100 on the current IQ test would mean you scored higher than about 25.14% of the population.

learn more about score here

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#SPJ2

Answer: $125 interest

Step-by-step explanation:

2.5/100=0.025 r=0.025

time 1 year t=1

p=5000 r=0.025 t=1

I=P*R*T

I=5000*0.025*1

I=125

Answer:

Please remember

n

√

x

is written as

x

1

n

in exponential form

Hence

3

√

x

2

y

can written as

(

x

2

y

)

1

3

As

(

x

a

)

b

is nothing but

x

a

⋅

b

3

√

x

2

y

=

(

x

2

y

)

1

3

=

x

2

⋅

(

1

3

)

*

y

1

3

=

x

2

3

*

y

1

3

Step-by-step explanation:

Answer:

140 ft²

Step-by-step explanation:

You find the area of each shape (rectangle and triangle) and add them together.

1. To find the area of the rectangle multiply the width (16) by the length (8) to get 128 ft².

2. Then to find the area of the triangle you need to first find the missing sides of the triangle. To find the height subtract the 12ft by the 8ft to get a height of 4 ft. The find the length by subtracting the 16 ft by the 10 ft.

3. Now we multiply the height and and length then divide by 2 to get 24ft/2 which equals an area of 12ft².

4. Now that we have the areas of each shape, we add the areas together.  128 ft² + 12 ft² = 140 ft²

Answer:

k = 45

Step-by-step explanation:

k (constant of proportionality) = y / x

y = 135 and 225 and x = 3 and 5

So you do 135 / 3 which is 45

And then 225 / 5 is also 45

Therefore the constant of proportionality (k) is 45

Answer:

the rule is 4 I believe

Step-by-step explanation:

for every input, the output increases 4

Answer:

(4,-5)

Step-by-step explanation:

You can plot both lines on the graph, since they are both in slope-intercept form. Using the graph provided next to you, the lines intersect and meet at the point (4,-5).

Answer:

16s + 48

Step-by-step explanation:

8(2s + 6) ← multiply each term in the parenthesis by 8

= 16s + 48

Answer:

The answer is 16s+48 because you have to multipy everything.

Answer:

A=56

Step-by-step explanation:

A= 8*14/2 /56

Answer:

y < 1/3x - 1.3

Step-by-step explanation:

Good Luck! hope this helps

Answer:

2x8=16

3x5=15

Step-by-step explanation: I hope you have/had an amazing day<3

Answer:

B. 2 x (5 + 7)

Step-by-step explanation:

Hope This Helps Tell me If Im Wrong