Please help me solve

Answer:

y - 4 = (32/3)x

Step-by-step explanation:

x-intercept: -3/8

y-intercept: 4

x-intercept: (-3/8, 0)

y-intercept: (0, 4)

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (4 - 0)/(0 - (-3/8)) = 4/(3/8) = 32/3

y - y_1 = m(x - x_1)

y - 4 = (32/3)x

Answer:

1/3 cup

Step-by-step explanation:

A brownie recipe needs 1/2 cup of white sugar per batch if I only want to make 2/3 of a batch how much white sugar do I need?

1/2 * 2/3 = 2/6 = 1/3 cup

The average speed 70 miles/hour, Dee needs to cover the remaining distance in 6 hours.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

Total distance of trip = 1020 miles

Average speed of Lila = 68 mph

And time taken by Lila for driving = 5 hours

Distance covered by Lila = 68×5 = 340 miles

Average speed of Mary - 65 mph

And time taken by Mary for driving = 4 hours

Distance covered by Mary = 65×4 = 260 miles

Distance covered by Lila and Mary = 340+260 = 600

Remaining distance = 1020-600 = 420

Dee covers 420 miles distance in 6 hours,

Speed of Dee= 420/6 = 70 miles/hour.

The average speed of Dee is 70 miles/hour.

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Answer: 45

Step-by-step explanation:

The total profit in all was [tex]1040-900=\$ 140[/tex].

The total profit per pizza was [tex](0.50)(8)=\$4[/tex].

This means they sold [tex]\frac{140}{4}=35[/tex] pizzas.

Adding this to the 10 pizzas held back, there were [tex]35+10=45[/tex] pizzas in the original order.

Answer:

[tex]\huge\boxed{\sf x = 128\°}[/tex]

Step-by-step explanation:

x + 52° = 180 (Angles on a straight line add up to 180°)

Subtract 52 to both sides

x = 180 - 52

x = 128°

[tex]\rule[225]{225}{2}[/tex]

Answer:

X= 128°

Step-by-step explanation:

The angels on a straighlije add up to 180°

hence <DCA+ <BCA= <BCD

X+ 52°=180°

X=180°-53°

X=128°

The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

What is one to one function?

One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then function f is one to one.

The function, f(x), is a one to one function when one unique element from its domain will return each element of its range. This means that for every value of x, there will be a unique value of y or f(x).

f ( x₁ ) = f ( x₂ ) if and only if x₁ = x₂

Given data ,

Let the function be f ( x )

where f ( x ) = y

So , the equation will be

y =  2 ( x + 5 )² - 6

Now , on simplifying the equation , we get

y = 2 ( x² + 10x + 25 ) - 6

y = 2x² + 20x + 50 - 6

y = 2x² + 20x + 44

Therefore , the function is f ( x ) = y = 2x² + 20x + 44

Now , replace y with x , we get

f ( y ) = x = 2y² + 20 y + 44

And f ( x₁ ) = f ( x₂ )

So , the function is one to one function

Hence , The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

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The probability that the weight will be between 3183 and 4022 grams is; 0.9323

The formula for z-score is;

z-score = (x – μ) / σ

where;

x is sample mean

μ is population mean

σ is standard deviation

Now, we want to find the probability that the weight will be between 3183 and 4022 grams. This is;

P(3183 < X < 4022)

When X = 3183

z = (3183 - 3637)/227

z = -2

When X = 4022

z = (4022 - 3637)/227

z = 1.696

Using online probability between two z-scores calculator, we have;

P(-2 < x < 1.696) = 0.9323

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Answer:

the III quadrate the x line (horizontal line) the number there is -4 on the y line (vertical line) -6 from the right side of the III quadrate

Answer: 4.3 meters

Step-by-step explanation:

Let the angle opposite the 3-meter side be [tex]\alpha[/tex].

Using the Law of Sines,

[tex]\frac{\sin \alpha}{3}=\frac{\sin 25^{\circ}}{2}\\\\\sin \alpha=1.5 \sin 25^{\circ}\\\\\alpha=\arcsin(1.5 \sin 25^{\circ})[/tex]

Using the sum of the angles in a triangle, the angle opposite the side [tex]\ell[/tex] is [tex]155^{\circ}-\arcsin(1.5 \sin 25^{\circ})[/tex].

Using the Law of Sines,

[tex]\frac{\ell}{\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}=\frac{2}{\sin 25^{\circ}}\\\\\ell =\frac{2\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}{\sin 25^{\circ}}\\\\\ell \approx 4.3[/tex]

Answer:  The correct answer is 4.3

Step-by-step explanation:

This is an Obtuse Scalene Triangle

Side a = 2

Side b = 3

Side c = 4.26571

Angle ∠A = 25°

Angle ∠B = 39.34°

Angle ∠C = 115.66°

Area = 2.70415

Perimeter p = 9.26571

Semiperimeter s = 4.63285

Calculate c, ∠B, and ∠C based on given a, b, and ∠A.

∠B = arcsin(b·sin(A)/a)

= 0.68662 rad = 39.34°

∠C = 180° - A - B = 2.01864 rad = 115.66°

c = a·sin(C)/sin(A) = 4.26571 = 4.3

The two values with the same value as 18 ones and 302 thousandths, given their place values, are:

Place value describes the position or place of a digit in a number, which determines its numerical value.

Place values form the basis of the number system because the position occupied by a digit in a number shows its value.

The place values on the left of the decimal point include Billions, Hundred Millions, Ten Millions, Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, and Ones.

After the decimal point, on the right, the place values include tenths, hundredths, and thousandths.

18 ones and 302 thousandths

= 1 ten + 8 ones + 3 tenths + 2 thousands

= (1 x 10) + (8 x 1) + (3 x 1/10) + (2 x 1/1,000)

Thus, 18 ones and 302 thousandths share the same place values as Options B and D.

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Answer:

2p+32

Step-by-step explanation:

8(p+4)-6p

8(p)+8(4)-6p

8p+32-6p

8p-6p+32

2p+32

Hopes this helps please mark brainliest

A) Probability that the dart lands on $5 = 9/16

B) Probability that the dart lands on $30= 1/4

C) Probability that the dart lands on $50 = 1/8

D)  Probability that the dart lands on $100 = 1/16

E) The expected payoff for throwing a dart = $100

What is probability?
The estimation of the probability that experiments will take place is one use of probability theory. We can calculate anything using a probability, such as the likelihood of making a research error or the probability of getting heads or tails when flipping a coin. This branch of mathematics requires a thorough understanding of the formula for computing probabilities in equiprobable sample spaces, the probability of the complementary event, etc., as well as the likelihood of two events joining together.

Let the area of the board will = 1

Area of $5 = 1/2+1/16 = 9/16

Area of $30 = 1/4

Area of $50 = 1/8

Area of the $100 = 1/16

Probability of the dart land on $5 = 9/16

Probability of the dart land on $30 = 1/4

Probability of the dart land on $50 = 1/8

Probability of the dart land on $100 = 1/16

The expected payoff for throwing a dart = $100

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Step-by-step explanation:

r=17

pi=22/7

22/7×14×2

22×2×2=88

so i cancelled out 7 cuz 7×2 is 14 and so i made 14 as 2

The matrix formed after solving C-D is C-D = -4     8    10

                                                                              4   -12   -6

                                                                              1      2    4

What is Matrix in Mathematics?

A matrix is a rectangular array or table of numbers, symbols, or expressions that are organised in rows and columns to represent a mathematical object or an attribute of such an object in mathematics. For instance, consider a matrix with two rows and three columns.

Solution:

Given That Matrix C = 1   7   5

                                    4   -7  0

                                    2   6   7

Also, Matrix D = 5   -1   -5

                          0    5   6

                          1     4    3

To Find: C-D

Since the order of both the matrices is 3 * 3

we can solve the problem

For this we will substract each element from Matrix C from its corresponding element in Matrix D

C-D = (1-5)   (7+1)   (5+5)

         (4-0)   (-7-5)   (0-6)

         (2-1)   (6-4)   (7-3)

C-D = -4     8    10

           4   -12   -6

           1      2    4

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Answer: [tex]m\angle DE F=90^{\circ}[/tex]

Step-by-step explanation:

The slope of [tex]DE[/tex] is [tex]\frac{7-3}{5-4}=4[/tex].

The slope of [tex]EF[/tex] is [tex]\frac{3-2}{4-8}=-\frac{1}{4}[/tex].

Thus, [tex]DE \perp EF[/tex], meaning [tex]m\angle DE F=90^{\circ}[/tex].

Answer: To make it very simple for ourselves, we can just divide 8 by 4.29. Our answer will then be 1.8648018648 or rounded to 1.86 servings per dollar.

Hope this helps.

The given equation, y = -4(x-3)² + 6, rewritten in standard form is y = -4x² + 24x - 30

From the question, we are to rewrite the given equation in standard form.

The given equation is

y = -4(x-3)² + 6

The standard form of a quadratic equation is

y = ax² + bx + c  

Now, we will express the given equation in the standard form of a quadratic equation.

y = -4(x - 3)² + 6

y = -4(x - 3)(x - 3) + 6

y = -4(x(x -3) -3(x - 3)) + 6

y = -4(x² - 3x - 3x + 9) + 6

y = -4x² + 12x + 12x - 36 + 6

y = -4x² + 24x - 30

Hence, the equation is y = -4x² + 24x - 30

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Answer:  Choice A

Step-by-step explanation:

1/8 = 0.125

That is a decimal that terminates after 3 decimal places (choice A)

The 0.39 dollar would have to present in order to obtain a probability of 0.500.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}. We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Using the sample size relation with the standard normal distribution, the required sample size is 64  samples.

σ = $80 and n = 64

n = [(Z × σ) / ME]²

ME = margin of error

Z = 0.500

Now Substituting the values into the equation :

n = [(Z × σ) / ME]²

n = [(0.500 × 80 ) / 64]²

n = (40/ 64)²

n = 0.625²

n = 0.39

Therefore, the 0.39 dollar would have to present in order to obtain a probability of 0.500.

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The quadratic function is y = 2x^2+3x-4.

Given:

The quadratic function y = ax² + bx + c whose graph passes through the given points.(-1,-5), (1,1),(-2,-2)

(-1,-5) passes.

y = ax^2+bx+c

-5 = a(-1)^2+b*-1+c

-5 = a-b+c

(1,1) passes.

1 = a*1^2+b*1+c

1 = a+b+c

(-2,-2) passes.

-2 = a(-2)^2+b*-2+c

-2 = 4a-2b+c

on solving three equations

a = 2 , b = 3 and c = -4

The quadratic equation is y = 2x^2+3x-4.

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y = 1/4x + 1 is parallel to line a

-4x + y = -8 is neither parallel nor perpendicular to line a

4x + y = -3 is perpendicular to line a

From the question, we are to determine how the given equations compare to line a.

From the given information,

Line a is -x + 4y = 32

First, we will determine the slope of line a

To do this, we will compare the equation to the slope-intercept form of a line

The slope-intercept form of a line is

y = mx + b
Where m is the slope

and b is the y-intercept

Writing -x + 4y = 32 in the slope-intercept form

-x + 4y = 32

4y = x + 32

Divide through by

y = 1/4 x + 8

By comparison, the slope of line a is 1/4

NOTE: If two lines are parallel, their slopes will be equal

and

If two lines are perpendicular, their slopes will be the negative reciprocal of each other

Now, we will determine the slopes of each of the lines

For y = 1/4x + 1

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 1/4

Thus, the line is parallel to line a

For -4x+y=-8

Rewrite in the slope-intercept form of a line

-4x + y = -8

y = 4x - 8

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 4

4 is not equal to 1/4 and 4 is not the negative reciprocal of 1/4.

Thus, the line is neither parallel nor perpendicular to line a.

For 4x+y=-3

Rewrite in the slope-intercept form of a line

4x + y = -3

y = -4x - 3

By comparing with the slope-intercept of a line, y = mx + b

The slope of the line is -4

-4 is the negative reciprocal of 1/4.

Thus, the line is perpendicular to line a.

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Answer: its answer b

Step-by-step explanation:

Answer:

-3x -12

Step-by-step explanation:

-6x +3x = -3x

-3-9 = -12

Step-by-step explanation:

4x + 17 = 49

subtract 17 from both sides:

4x + 17 - 17 = 49 - 17

4x = 32

divide both sides by 4:

4x/4 = 32/4

x = 8

Answer:

1250 teenagers

Step-by-step explanation:

= 5000 * (1/4)

= 5000 * 0.25

= 1250

Answer:

[tex]\huge\boxed{\sf 1250 \ teenagers}[/tex]

Step-by-step explanation:

Total people = 5,000

= 25% of total people

Key: "of" means "to multiply" and total people = 5000

= 25% × 5000

Key: % means "out of 100"

[tex]\displaystyle =\frac{25}{100} \times 5000\\\\= 25 \times 50\\\\= 1250 \ teenagers\\\\\rule[225]{225}{2}[/tex]

The solution for f(3) in the function f(x) = 7x² - 2x is 57

From the question, we have the following equation that can be used in our computation:

F(X) = 7x2-2x

To make the equation legible, we need to rewrite it

So, we have the following representation

f(x) = 7x² - 2x

Also from the question, we have

f(3)

This means that the value of x is 3, and we calculate f(x) when x = 3

Substitute the known values in the above equation, so, we have the following representation

f(3) = 7x² - 2x

So, we have the following equation

f(3) = 7(3)² - 2(3)

There are constants to add or subtract to both sides of the equation

So, we have the following representation

f(3) = 57

Hence, the solution is 57

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Answer:

375 minutes

Step-by-step explanation:

72 km = 90 mins. 32 km = 40 mins. how many mins = 300 km?

72/90 = 0.8

32/40 = 0.8

so:

300/x = 0.8

multiply both sides by x:

x(300/x) = 0.8(x)

300 = 0.8x

divide both sides by 0.8:

x = 375

Answer:

-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

-x     -x

x+6=-4

  -6 -6

x=-10

Answer:

x = -10

Step-by-step explanation:

HOW TO SOLVE YOUR PROBLEM

1. Distribute

2(x + 3) = x - 4

2x + 6  = x - 4

2. Subtract 6 from both sides

2x + 6  = x -4

2x + 6 - 6 = x - 4 - 6

3. Simplify

Subtract the numbers:

2x + 6 - 6 = x - 4 - 6

2x = x - 4 - 6

Subtract the numbers:

2x = x - 4 - 6

2x = x - 10

4. Subtract x from both sides

2x = x - 10

2x - x = x - 10 - x

5. Simplify

Combine like terms:

2x - x = x - 10 - x

1x  = x - 10 - x

Multiply by 1:

1x = x - 10 - x

x = x - 10 - x

Combine like terms:

x = x - 10 - x

x = -10

Solution:

x = -10

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Answer:

[tex](1,0)[/tex]

Step-by-step explanation:

This is where the function changes from decreasing to increasing.

Answer:

D. The sum of the angles is 90°.

Step-by-step explanation:

The definition of complementary angles is that their measures add to 90°.