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Answer:

y = 2/5x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope:

( y1 - y2 ) / ( x1 - x2 )

( 2 - 8 ) / ( -5 - 10 )

( -6 ) / ( -15 )

2 / 5

Y-Intercept:

8 = 2/5(10) + b

8 = 4 + b

4 = b

Hopefully this helps!

Brainliest please?

Answer:

a) 25 in.

b) 13 in.

c) 4 in.

d) 61 in.

e) 30 weeks

Step-by-step explanation:

For a, b, c, and d, the equation to use is y = 3x + 4 and just plug in the given values for x (weeks) to receive y (inches of vine)

for e, use the same equation, but plug in 94 for y...

94 = 3x + 4    →   3x = 90    →    x = 30

Answer: 13/15

Step-by-step explanation: If you multiply both numbers so the numerator is 15, you will get 1 10/15 and 12/15

Then convert 1 10/15 to a Improper Fraction (25/15)

Lastly, you subtract (25/15 - 12/15) you will get 13/15.

Hope this helps! :)

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Answer:

3

Step-by-step explanation:

subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3

Carrie has 4 more pints of paint than Bryan.

Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.

To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.

Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.

Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.

To find the difference, we subtract Bryan's pint quantity from Carrie's:

24 - 20 = 4 pints.

Therefore, Carrie has 4 more pints of paint than Bryan.

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Answer:

2.120 kg= 2.12 kg.

Step-by-step explanation:

As you can clearly tell, 2.120 is equal to 2.12, because the 0 to the right of all the numbers and the period doesn't add or substract anything from the number.

Therefore, 2.120 kg= 2.12 kg.

Answer:

97

Step-by-step explanation:

Answer:

last one

hope it helps..

The zeroes of the polynomial  f(x)= x³ - 4x² + x + 6 = 0 are x - 1, x = 2
and x = 3.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, f(x)= x³ - 4x² + x + 6 = 0.

Now, zeroes of the polynomial should be factors of 6 they are ±1, ±2. ±3, ±6.

Now at x = 1 f(x) = 4 so not a zero, at x = - 1, f(x) = 0 so x = - 1 a zero

at x = 2 f(x) = 0 so x = 2 is a zero,

at x = 2 f(x) = so x = 3 is a zero.

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For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

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Answer:

Step-by-step explanation:

Let y represent type 2 truck and x represent type 1 truck. The painting can be represented by the inequality:

\(\frac{x}{800}+\frac{y}{700}\leq 1\)                  (1)

The assembling can be represented by the inequality:

\(\frac{x}{1500}+\frac{y}{1200} \leq 1\)                (2)

Also, x, y ≥ 0

The objective function is given as:

max z = 300x + 500y

Plotting 1 and 2 using online geogebra

From the graph, the optimal value is at (0,700). Hence:

max z = 300(0) + 500(700) = $350000

Answer:

29

Step-by-step explanation:

Ok so with there being an X beside the number you go ahead and multiply the X and the number its beside (12) so 12x3=36 then you subtract 7 from 36 which will get you 29 hope this helped!

Answer:

Step-by-step explanation:

4/mx

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

Answer: 5.5 months

Explanation:

To calculate the number of months it will take to pay off your credit card balance, we can use the formula for the time it takes to pay off a balance with fixed monthly payments:

n = -log(1 - (r * b) / p) / log(1 + r)

where:n is the number of months it will take to pay off the balancer is the monthly interest rate (which is the annual percentage rate divided by 12)b is the balance owedp is the fixed monthly paymentFirst, let's calculate the monthly interest rate r:

r = 0.147 / 12 = 0.01225

Next, we can substitute the values into the formula:

n = -log(1 - (0.01225 * 2264) / 500) / log(1 + 0.01225)

Using a calculator, we can simplify this to:

n = 5.5 months

Answer:

Step-by-step explanation: 21

The given number of balloons, green = 10, purple = 4, red = 5, tie-dye = 2, black = 3, gives;

a. 5/138

b. 25/276

c. 5/1012

d. 35/46

Given parameters;

Number of balls;

Green = 10

Purple = 4

Red = 5

Tie-dye = 2

Black = 3

Mode of selection = Without replacement

Number of balloons = 10+4+5+2+3 = 24

a. Probability of popping a red balloon = 5/24

Probability of popping a second red balloon = 4/23

Therefore;

Probability of popping two reds consecutively = 5/24 × 4/23 = 5/138

b. Probability of popping a red balloon = 5/24

Probability of popping a green balloon next = 10/23

Therefore;

Probability of popping a red and then a green balloon = 5/24 × 10/23 = 25/276

c. Probability that the first balloon that pops is a red = 5/24

Next balloon is a black = 3/23

Third balloon is red = 4/22

The probability, P, is therefore;

d. The probability that the first balloon is a tie-dye = 2/24 = 1/12

Therefore;

Probability that the first balloon is not a tie-dye = 1 - 1/12 = 11/12

Probability that the second balloon is not a tie-dye = 21/23

Similarly;

Probability that the third balloon is not a tie-dye = 20/22 = 10/11

Which gives;

The probability, P, of popping anything but a tie-dye on three consecutive throws is therefore;

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Answer:

3053.63 yd^3

Step-by-step explanation:

There is a formula to this, the formula goes,V=4/3πr^3, you subsitute, 9 in for r, cube "r", and do 9*3.14 or whatever you use for PI, and then you times that by 4/3.

The set D represents a linear function. This follows from the fact that each x and y changes the same amount for each ordered pair.

Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

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Answer:

The expected value for the person buying the insurance is $69.92 for the year. This is calculated by multiplying the risk of death (0.00248) by the death benefit ($100,000) and subtracting the cost of the insurance ($280).

Expected Value = (0.00248 x $100,000) - $280

Expected Value = $69.92

Answer:

$4.47

Step-by-step explanation:

If one pound is $1.49 then you would multiply it by 3 ro get how much 3 pounds would be.

$1.49 x 3 = $4.47

Hope this was helpful =D

If it was, maybe I could be brainiest?

No pressure! :)

The distance between the satellite and the tracking station is 1220 miles

To find the distance between the satellite and the tracking station we need to apply cosine law:

                    \(c^{2} =a^{2} +b^{2} -2ab cos(\beta )----------(1)\)

where:

c=length of side c

a=length of side a

b=length of side b

β=angle opposite c

we need to find the angle of β

computing the angle  β gives

\(\beta =\frac{3min}{120min} *360\)

β=9°

Now substitute the β value ,a=4000,b=5000,in cosine law, and we get

\(x^{2} =4000^{2} +5000^{2} -2(4000)(5000)cos 9\)

\(=(16+15-39.51)*10^{6 }\\=1.49*10^{6}\)

x=1.22x10^3

x=1220 miles distance from the satellite to the tracking station.

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5 Granny smith apple and 9 Golden delicious apple is required to produce a pie.

8 Granny smith apple and 4 Golden delicious apple is required to produce a jar of applesauce.

Therefore,