What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)

Answer and Explanation:

Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?

This problem can be represented by  [tex]3x+3\leq 30[/tex].

'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.

[tex]3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}[/tex]

So, Gina would have a maximum of 9 hours to swim in the pool.

Hope this helps.

Answer:

For each x increase of 1, the y increases by a common factor of 3. (second answer listed)

Step-by-step explanation:

Notice that you have not provided the graph that the problem involves, but from the description of what the y behavior is when x increases by one, one can deduct if an exponential pattern applies.

Out of the four examples given, only one of them represents an exponential growth. Such type of growth has to include a common multiplicative factor (the base of the exponent), since the function has to be of the form:

[tex]f(x)=a\,\,b^x[/tex]

to be called exponential.

So every time that x increases by one unit, the following happens:

[tex]f(x+1)=a\,\,b^{(x+1)}\\f(x+1)= a\,\,b^x\,\,b[/tex]

So notice that the original function ends up being just multiplied by the common factor "b".

The other options don't describe such behavior.

Answer:

For each x increase of 1, the y increases by a common factor of 3.

Step-by-step explanation: hope it helps ^w^

Answer:

Pendiente-Intercepto:

pendiente = 1.5, intercepto = 5

Ecuacion: y = 1.5x+5

Answer:

The answer is: 12 total candies

Step-by-step explanation

c = caramel-flavored

s = strawberry-flavored

so if there are 1/3 strawberry-flavored so that means there are 2/3 caramel-flavored. we know there are 8 caramel-flavored so if 8 is 2/3 of all the candies that means 4 is how many strawberry-flavored we have 12 total candies.

Answer:

The answer is (3, 18)

Step-by-step explanation:

This is because if you go to 3 on the x axis and up to 18 on the y axis, you have a point there.

Answer:

8sin(x)cos³(x)

Step-by-step explanation:

sin(4x) +2 sin(2x)  = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=

= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=

= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

Answer:

The answer of X would be 80°.

<FBD+100=180 (Co interior angle)

<FBD= 80

X= <FBD = 80° ( Being alternate angle)

Answer:

Step-by-step explanation:

Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

d² = 10² + 10² = 200

d = √200 = 14.14cm

Formula for finding the volume of a sphere is expressed as

Volume = 4/3 × π × r³

Radius of sphere = diameter/2 = 14.14/2 = 7.07cm

Volume = 4/3 × π × 7.07³ = 471.19π cm³

Answer:

[tex]=-3[/tex]

Step-by-step explanation:

[tex]\left(-3\right)^3+\left(-4\right)^2-\left(-2\right)^3\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:exponents}\:\left(-3\right)^3\::\quad -27\\\left(-3\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-3\right)^3=-3^3=-27\\=-27+\left(-4\right)^2-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-4\right)^2\::\quad 16\\\left(-4\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-4\right)^2=4^2=16\\=-27+16-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-2\right)^3\::\quad -8\\\left(-2\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-2\right)^3=-2^3=-8\\=-27+16-\left(-8\right)\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-27+16-\left(-8\right)\::\quad -3\\-27+16-\left(-8\right)[/tex]

[tex]-27+16=-11\\=-11-\left(-8\right)\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-8\right)=+8\\=-11+8\\-11+8=-3\\=-3[/tex]

Answer:

1.2 x 10^-1 or 12x10^-2

Answer:

22

Step-by-step explanation:

[tex]f(5)= \\\\5(5)-3=\\\\25-3=\\\\22[/tex]

Hope this helps!

Answer:

to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator

Answer:

x = 7

y = 7

Step-by-step explanation:

So from this we can pull that x, y = pos

pos so 3(x) = 21

x= 7

Same

7, 7

x = 7, y = 7

Hope this helps!

Answer:

12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees

Answer:

all the statements are true

Step-by-step explanation:

The acute triangle is the triangle in which all the angles are less than 90°

While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle

Given that

p = Acute triangle

q = equilateral triangle

Based on the above explanation

The conditions are as follows

p ∨ q is  true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true

p ∧ q is also true, the ∧ refers that both the statements should be true.

The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows

The last means equal and is valid if both p and q are the same as they are, so that is true too.

Hence, all the statements are true

Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)

Answer:

Brainliest here!

Step-by-step explanation:

Solve using a online calculator

(-16,-7)

Answer:

x= -16, y= -7

Step-by-step explanation:

x= -9+y

-6x+11y= 19

---------

-6(-9+y)+11y=19

54-6y+11y=19

54+5y=19

5y= 19-54

5y= - 35

y= -35/5

y= -7

x= -9+(-7)= -16

Answer:

the line of symmetry. It's like a mirror.

Step-by-step explanation:

Answer:

5x -2y = -2

Step-by-step explanation:

-2x+y=0

-7x+3y=2

Subtract the second equation from the first

-2x+y=0

7x-3y=-2

------------------

5x -2y = -2

Replace y with 15

The equation is now:

1x - 15 = 30

Add 15 to both sides:

1x = 45

Divide both sides by 1

X = 45

Answer: X = 45

Step-by-step explanation:

1x - 15 = 30

add 15 to both sides

1x = 30 + 15

1x = 45

then you have to seperate the 1 from the x, so divide 1 from both sides

45 divided by 1 = 45

so the answer is x = 45

Answer:

n=6

Step-by-step explanation:

13.5n + 8 = 89

13.5n = 89 - 8

13.5n = 81

13.5n/13.5 = 81/13.5

n = 6

I hope this helps

Answer:

n=6

Step-by-step explanation:

i did it on edg 2020

Answer:

miles hybrid car went = 9.80 gal × 54.1 miles/gal

= 530.18 miles

132km × 0.621 = 81.972 miles

530.18 miles = 9.80 gal

1 mile = 9.80/530.18

= 0.018 gal

81.972 miles = 0.018 × 81.972

= 1.515 gal

1.515 gal × 3.785 = 5.734 litres

Steps to solve:

5x^3 * 2x^2

~Apply exponent rule

5x^3+2 * 2x

~Simplify

5x^5 * 2x

~Combine like terms

10x^5

Best of Luck!

Answer: 14

Step-by-step explanation: chau's height = x

x * 5 =70

5x = 70

x = 70/5

x = 14

Answer:

384m^2

Step-by-step explanation:

surface area of cube = area of 1 side x 6

area of 1 side = 64m^2

so, surface area = 64 x 6 = 384m^2

Please mark brainiest

Answer:

37.5% chance

Step-by-step explanation:

well if there are 52 card in a deck and 4 aces.

the probability that it will be red is 50%. As half of the cards are red and the other half is black. the probablility it wil be an ace is 25%. so finding the middle of those would be 37.5%

Answer:

It says an ace or a red card. Red cards have a  50% chance plus 2 black ace cards 26 cards is half red plus 2 28/52 Answer Reduces to: 7/13

Step-by-step explanation:

Answer: The answer is (2)

Just evaluate the functions with the values of the figure