please help a and b

Answer:

See explanation

Step-by-step explanation:

the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.

Width = x

Length = 3x - 7

Area of a rectangle = length × width

180 = (3x - 7) * x

180 = 3x² - 7x

3x² - 7x - 180 = 0

Using quadratic formula

a = 3

b = -7

c = -180

x = -b ± √b² - 4ac / 2a

x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)

x = 7 ± √49 - (-2160) / 6

= 7 ± √49 + 2160 / 6

x = 7 ± √2209/6

= 7 ± 47 / 6

= (7 + 47)/6 or ( 7 - 47)/6

= 54/6 or -40/6

x = 9 or -6.67

x cannot be negative

Therefore,

x = 9 ft

Width = x = 9 ft

Length = 3x - 7

=3(9) - 7

= 27 - 7

= 20 ft

Answer:4 and 8?

Step-by-step explanation:

Answer:

49.4 liters

Step-by-step explanation:

we have the basic ratio between liters of petrol (gasoline) and distance driven :

19/50

now, the same ratio has to apply, when we talk about 130 km instead of just 50.

so,

19/50 = x/130

x = 130×19/50 = 13×19/5 = 49.4 liters

if I may add, this is a very bad or at least very, very big car based on today's standards ...

Answer:

-7

Step-by-step explanation:

63/9 but there is an odd number of negative numbers so negative answer

Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2

Step-by-step explanation:

Answer:

If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Answer:

g = 48

k = 18

Step-by-step explanation:

h / 10 = 60 / 12

h / 10 = 5

h = 5 x 10

h = 50

40 / h = g / 60

40 / 50 = g / 60

4 / 5 = g / 60

g = ( 60 x 4 ) / 5

= 12 x 4

g = 48

90 / k = 60 / 12

90 / k = 5

k = 90 / 5

k = 18

Answer:

True

Step-by-step explanation:

This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.

Answer:

(a) g(x) has a greater slope

(b) g(x) has a greater y intercept

Step-by-step explanation:

Given

[tex]x \to -1,0,1[/tex]

[tex]f(x) \to -5,-1,3[/tex]

[tex]g(x) = 4x + 3[/tex]

Solving (a): Compare the slopes

Slope (m) is calculated as:

[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, for f(x), we have:

[tex]m =\frac{-1- 0}{-5- -1}[/tex]

[tex]m =\frac{-1}{-4}[/tex]

[tex]m =\frac{1}{4}[/tex]

For g(x), we have:

Assume [tex]g(x) = mx + c[/tex] then the slope is m

Compare the above to [tex]g(x) = 4x + 3[/tex]

Then the slope of g(x) is 4

g(x) has a greater slope

Solving (b): Function with greater y intercept

Here we set [tex]x= 0[/tex]

From the table of f(x)

[tex]f(x) = -1[/tex] when [tex]x = 0[/tex]

From [tex]g(x) = 4x + 3[/tex]

[tex]g(0) = 4 * 0 + 3[/tex]

[tex]g(0) = 3[/tex]

Hence:

g(x) has a greater y intercept

Answer:

The answer is -10 or 1

Step-by-step explanation:

by doing multjoke for each and subtracting

Answer:

-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

when x = 5 ,

f(5) = - 25 ( 5 - 9 )² + 200 = - 200

when x = 9 ,

f(9) = - 25 ( 9 - 9 )² + 200 = 200

when x = 10 ,

f(10) = - 25 ( 10 - 9 )² + 200 = 175

when x = 15 ,

f(15) = - 25 ( 15 - 9 )² + 200 = -700

∴ when price = $9

the company receive the maximum profit

Answer:

9$

Step-by-step explanation:

Answer:

It's d or the 4th graph

Step-by-step explanation:

A graph which represents the overall equation (inequality) represented by this scenario.

A graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).

Let the variable x represent the total number of guests.

Let the variable y represent the amount of meat

Next, we would write an inequality that represents an amount of meat that must be 2 pounds fewer than one-third (1/3) the total number of guests. Since the customer decides they want at least that amount of meat, the inequality symbol that must be used is greater than (>).

y > 1/3(x) + 2

y > x/3 + 2

In conclusion, the y-value for this inequality graph (see attachment) intersects the x-axis at 0 and 6 with the boundary line shaded upward and dashed to indicate that it is not part of the solution, which must be represented with a greater than (>) inequality symbol.

Read more on graph here:

brainly.com/question/12996324

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Answer:

(0, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x + 2

3x + 3y = 6

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

(0, 2)

Step-by-step explanation:

Since y is x + 2, we can replace y with x + 2

3x + 3y = 6

3x + 3(x+2) = 6

3x + 3x + 6 = 6

6x + 6 = 6

6x = 0

x = 0

y = x + 2

y = 2

Now we can check by replacing x with 0

3x + 3y = 6

3(0) + 3y = 6

0 + 3y = 6

3y = 6

y = 2

Answer:

jjdjdjdj and technology and technology and technology and technology and technology

Answer: X or 30

Step-by-step explanation:

Answer:

12m

Step-by-step explanation:

Given that the area of the square  DVD case is 144 square cm

Since Area = L²

144 =L²

L = √144

L = 12m

Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m

The inequality that represents the statement on the number of marbles that the students have is 5x < 45.

The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x

This total is less than 45 however so the inequality will be:

(5 × x ) < 45

5x < 45

Find out more on inequalities at https://brainly.com/question/2501321.

#SPJ1

witw6oweo6ssitsi5sutaurzhfztzjxisi5

Answer:

[tex] \rm\displaystyle D) \left (1,3\right)[/tex]

Step-by-step explanation:

well to figure out the point we can consider the following formula:

[tex] \rm\displaystyle \text C(x,y)= \left (\frac{m x_{2} + n x_{1} }{m + n} , \frac{m y_{2} + n y_{1} }{m + n} \right)[/tex]

from the given we acquire that,

therefore substitute:

[tex] \rm\displaystyle \text C(x,y)= \left (\frac{(2) (4)+ 3( - 1) }{2 + 3} , \frac{(2) ( - 3) + (3)(7)}{2 + 3} \right)[/tex]

simplify multiplication:

[tex] \rm\displaystyle \text C(x,y)= \left (\frac{8 - 3 }{2 + 3} , \frac{ - 6+ 21}{2 + 3} \right)[/tex]

simplify:

[tex] \rm\displaystyle \text C(x,y)= \left (\frac{5}{5} , \frac{ 15}{5} \right)[/tex]

simplify division:

[tex] \rm\displaystyle \text C(x,y)= \left (1,3\right)[/tex]

hence our answer is D)

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

Points => (-1, 7) & (4, -3)

Ratio => 2 : 3

(x₁, y₁) = (-1, 7)

(x₂, y₂) = (4, -3)

(m₁, m₂) = (2, 3)

Formula = [tex]\large\left (\frac{m_{1} x_{2} + m_{2} x_{1} }{m_{1} + m_{2}} , \frac{m_{1} y_{2} + m_{2} y_{1} }{m_{1} + m_{2}} \right)[/tex]

Points which divide the line segment

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

[tex] =( \frac{8 - 3}{5} , \frac{ - 6 + 21}{5}) \\ = ( \frac{5}{5} , \frac{15}{5} ) \\ = (1,3)[/tex]

Answer => (1, 3) [option D]

Answer:

105 mm

Step-by-step explanation:

So this means 1/3 of the length is 35 mm. Now just multiply 35 by 3 to get the whole. 35*3=105. So 105 mm.

Answer:

105mm

Step-by-step explanation:

2/3= 70mm

70mm/2=35

35*3= 105

Answer:

255 is the answer

Step-by-step explanation:

Divide 765 by 3 and the answer will come .

Hope it will help u

(9-3)+18÷9

= 6+18÷9

= 6+2

= 8

Answer:

8

Step-by-step explanation:

Well, we need to use order of operations. Since there are parenthesis, we solve what is inside that first. So, 9-3=6. We have solved one part of the equation. There are no exponents so division comes next. 18/9=2. Now we are left with 6+2. 6+2=8. Therefore, your final answer is 8.

Answer:

C) Chloroplast; thylakoid membrane

Step-by-step explanation:

The question is a biological science question

The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane

The dark reactions take place inside the stroma

Therefore, the correct option is chloroplast; thylakoid membrane

Answer:

2

Step-by-step explanation:

X^2+Y^2=4=2^2

Answer:

Step-by-step explanation:

You have to know how negative exponents "work" to understand this concept.

[tex]\frac{1}{10}=10^{-1[/tex] because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.