y=15x+2
-15x+y=1

U can use elimination or substitution

Does the linear equation have 1 solution, no solution or infinite solutions.

(30 points i think!!)

Answer:

5/8

Step-by-step explanation:

5/8 which is in simplest form

Answer:

5/8

Step-by-step explanation:

3/8+1/4 = 3/8+2/8 = 5/8

Answer:

√9

Step-by-step explanation:

√9 is a rational number because it's a perfect square.

Answer:

The correct answer is 9

Step-by-step explanation:

Answer:

1:

26

24

57

47

59

61

16

23

2:

58.5

56.556

49.75

93.75

62.2857142857

98.667

28.223

57.5

56.5714285714

19.28

57.75

Answer:

100r1

Step-by-step explanation:

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The first derivative of the composite function r(x) = √[x + √(x + √x)] is equal to r' (x) = [1 / [2 · √[x + √(x + √x)]]] · [1 + [1 / [2 · √(x + √x)]] · [1 + 1 / (2 · √x)]].

In this problem we find the case of a composite function of the form:

f ° g ° h (x) = f [g [h (x)]]

Whose first derivative must be found by means of the following differentiation rules:

Chain rule

d [f [u (x)]] / dx = (df / du) · (du / dx)

Derivative of a square root

d (√x) / dx = 1 / (2√x)

And the first order derivative of the function r(x) = √[x + √(x + √x)] is:

r' (x) = [1 / [2 · √[x + √(x + √x)]]] · [1 + [1 / [2 · √(x + √x)]] · [1 + 1 / (2 · √x)]]

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Answer:

3x-y=5

Step-by-step explanation:

standard form is 3x-y=5

Answer:

Fourth option: y = 2/5x - 3

Step-by-step explanation:

it is perpendicular :)

Answer:

Your answer y=-5/2x + 6

Mark it as brainlist answer. As soon as possible.

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

\(x \geqslant 3\)

Step-by-step explanation:

subtract 1 from both sides

-6x<-17-1

simplify

-6x<-18

divide by 6 on both sides

x>3

Answer: 24 problems done before dinner

Step-by-step explanation:

Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner

Answer:

19%

Step-by-step explanation:

Bottles manufactured in march = 4100×107% = 4387 bottles

bottles manufactured in April= 4387+500 = 4887 bottles

difference in bottles from Feb to April= 4887-4100 =787 bottles

percentage increase from Feb to April= (787/4100)×100 = 19.2%

rounded off= 19%

The output value of (f∘g)(x) is:  \((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

The domain of (f∘g)(x) is (-∞, -3) U (-3, ∞).

In this scenario, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;

\(f(x) = \frac{x-6}{x +3}\)

g(x) = 4x - 15

Next, we would write the numerators and denominators in factored form as follows;

(x - 6)(4x - 15)

4x² - 15x - 24x + 60

4x² - 29x + 60

Now, we can derive the corresponding composite function of f(x) and g(x);

\((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

x + 3 ≠ 0

x ≠ -3

Domain = (-∞, -3) U (-3, ∞).

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According to the definition of the median of the trapezoid: B. The length of the median is half the sum of the lengths of the bases.

The median of a trapezoid is the line segment that connects the two legs of a trapezoid and is parallel to each of the base of the trapezoid. Also, the length equals half of the sum of the two base lengths of the trapezoid.

Thus, based on the definition of the median of a trapezoid, the true statement is: B. The length of the median is half the sum of the lengths of the bases.

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I don't want to helo you cheat since it's a quiz, but just try to think literally. Look at the picture and you'll see which one makes sense. Ask each point and identify where they land.

The cost of ticket for an adult is 10 dollars while the cost of ticket for a child is 7 dollars

We would call the adult tickets a

we would call the child tickets c

From the question details that we have, we would have these system of equations

2a + 4c = 48 ---- equation 1

5a + 2c = 64 ---- equation 2

We would have to solve this using the elimination method of simultaneous linear equation

from equation 1

2a + 4c = 48

make a the subject

2a = 48 - 4c

\(a = \frac{48 - 4c}{2}\)

put the value of a in equation 2

5a + 2c = 64 ---- equation 2

\(5(\frac{48 - 4c}{2}) + 2c = 64\)

120 - 10c + 2c = 64

120 - 8c = 64

120 - 64 = 8c

56 = 8c

divide through by 8

c = 56 / 8

c = 7

Put the value of c in equation 2

5a + 2c = 64

5a + 2 * 7 = 64

5a + 14 = 64

5a = 64 - 14

5a = 50

a = 50 / 5

a = 10

The cost of the adult ticket is 10 dollars while the cost of the child ticket is 7 dollars.

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The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).

Firstly, we need to determine the total number of jelly beans in both bags.

The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).

Therefore, the total number of jelly beans in both bags is 25.

Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.

Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.

After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.

Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.

To determine the probability of both events occurring, we use the multiplication rule of probability.

Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.

Hence, the answer is option (a) 1/15.

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Answer:

See below

Step-by-step explanation:

From noon to 1500  is three hours

  train A    then travels   3x   where x = speed in km/hr

  train B   only travels for 2.45 hours and covers

                    2.45 ( x + 15)          where x + 15 is its speed in km/hr

       these two values sum to the 300 km distance

3x     +     2.45 ( x + 15) = 300

3x + 2.45 x  + 36.75 = 300

x = 48.3 km/hr       x+15= 63.3 km / hr

Step-by-step explanation:

Answer: 21,135.08

Step-by-step explanation: because

22,450.89+5,676.63+15 ,670.25+10,067.15=53,864.92

so now 75,000 - 53,864.92 = 21,135.08 that's it

0 = 2c +2.

Subtracting 2 from both sides, we get

0-2 = 2c +2 -2

-2 = 2c

Dividing both sides by 2, we get

-2/2 = 2c/2

-1 =c.

Plugging c=-1 in first equation,

k=2(-1) = -2.

So the answer is -2.

Answer:

The answer to your question would be p - 0.10p

:)

Answer:

The correct answer is 0.90p.

This is  because, if  there  is a 10% price drop, the item would cost (100-10), or 90 percent of the original price.

Let me know if this helps!

Answer: there would be 8 men

Step-by-step explanation:

can you give me brainliest

Answer: I believe there would be 25 men

Step-by-step explanation: We can see there are 40 women and the ration is 5 (men) to 8 (women)

If we take 40 and divide it by 8 we get 5

so for every 8 women there are 5 men and we do that 5 times

we get: 40 women and 25 men.

Answer:

13.42

Step-by-step explanation:

\(\sqrt{180} =6\sqrt{5} \\\\6\sqrt{5} =13.42\)

Answer:

answer: \(6\sqrt{5}\)

Step-by-step explanation:

\(\sqrt{180} = \sqrt{4 * 9 * 5} \\= 2*3\sqrt{5} \\= 6\sqrt{5}\)

Answer:

The coordinates of point P after all the translations become: (-4, 1)

Step-by-step explanation:

The point P lies on the origin of a coordinate system.

i.e. P(0, 0)

Translating point 5 units up will translate the coordinates from (0, 0) to :

(x, y) → (x, y+5)

(0, 0) → (0, 0+5) = (0, 5)

THEN

Translating point 4 units left will translate the coordinates from (0, 5) to :

(x, y) → (x-4, y)

(0, 5) → (0-4, 5) = (-4, 5)

THEN FINALLY

Translating point 4 units down will translate the coordinates from (-4, 5) to :

(x, y) → (x, y-4)

(-4, 5) → (-4, 5-4) = (-4, 1)

Therefore, the coordinates of point P(0, 0) after translating point 5 units up, then 4 units left, then 4 units down will be:

(x, y)      →     (x, y+5)     →     (x-4, y+5)     →     (x-4, y+5-4)

(0, 0)     →      (0, 0+5)    →     (0-4, 0+5)   →     (0-4, 0+5-4)  = (-4, 1)

Hence, the coordinates of point P after all the translations become: (-4, 1)

Answer:

y-1= -1/3(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=m(x+3)

the slope is rise over run

the slope is -1/3

Answer:

y - 1 = 3/2 (x + 3)

Step-by-step explanation:

To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) is the given point and m is the slope of the line.

First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):

slope = (y₂ - y₁) / (x₂ - x₁)

= (2 - (-4)) / (2 - (-2))

= 6 / 4

= 3/2

Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.

Now we can substitute the values into the point-slope form using the point (-3, 1):

y - 1 = (3/2)(x - (-3))

y - 1 = (3/2)(x + 3)

The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:

y - 1 = 3/2 (x + 3)

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer:

-6

Step-by-step explanation:

║3-6║= 3

-

12/6 + 1 ^2 = 2 + 1 ^2 = 3^2=9

3-9=-6

The value for |3-6| -(12 ÷ 6 + 1)² is -46.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

|3-6| -(12 ÷ 6 + 1)²

Now, simplifying

= |-3| - ( 6 + 1)²

We know the modulus value is always positive.

= 3 - 49

= -46.

Hence, the value for |3-6| -(12 ÷ 6 + 1)² is -46.

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Derivative of function is 5(2x + 4) * (x² + 4x + 6)⁴.

What is differentiation?

In arithmetic, the derivative of a function of a true variable measures the sensitivity modification of the perform price with relation to a change in its argument. Derivatives are a elementary tool of calculus.

Main body:

by using product rule;

Let = u = x² + 4x + 6

⇒ du/dx = 2x + 4 .

Now y = u⁵

⇒ dy/dx = 5u⁴ .

dy/dx = dy/dx * du/dx = 5u⁴ * (2x + 4)

= 5 * (x² + 4x + 6)⁴ * (2x + 4)

= 5(2x + 4) * (x² + 4x + 6)⁴

hence , derivative of function is 5(2x + 4) * (x² + 4x + 6)⁴.

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Answer:

n=8

Step-by-step explanation:

It’s a special 30-60-90 triangle, so n=8.

Answer:

54 Ok?

Step-by-step explanation: Thats what i got

Answer: 0.08 yards

Step-by-step explanation: 1 centimeter equals to about  0.01 yards. You have to multiple 0.01 to 8 and it will give 0.08 yards.

Answer:

x = 0,087489064

Step-by-step explanation:

1 cm =  0.010936133 yards

8 cm = x

x = 8 cm x 0.010936133 yards/ 1 cm

x = 0,087489064