4
1 The senior class is selling T-shirts for a fundraiser. The graph below shows the profit, in
dollars, the senior class will earn based on the number of T-shirts sold.
Senior Class Fundraiser
y
1601
140!
1201
1001
Profit (dollars)
80F
60
40
20
Y
10 20 30 40 50 60 70 80
T-Shirts Sold
What is the slope of the line shown in this graph?
A $4 per shirt
B$2 per shirt
С$0.50 per shirt
D$0.25 per shirt

Answer:

q=10

Step-by-step explanation:

-10+10q=9q

-10=-q

q=10

Answer:

functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Step-by-step explanation:

Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)

On the other hand, the function f(x) has two roots that are obtained by factoring it out:

[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]

Therefore it has roots at x=2 and x= -3

So functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Answer:

a) 27 m/s

b) 30 m/s

c)   i) 3

     ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey.  At the start of the 50 seconds the speed is k metres per second.  The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey

    (ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m  

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

[tex]Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s[/tex]

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

[tex]Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s[/tex]c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

[tex]Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3[/tex]

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

Answer:

Step-by-step explanation:

a)34 m/s

b) 40k=34

k=34/40

k=0.85 m/s

Answer:

s=5

Step-by-step explanation:

72=27+9s

Subtract 27 from both sides.

72-27=9s+27-27

45=9s

Divide 9 from both sides.

5=s

Answer:

[tex]x\le 6[/tex]

Step-by-step explanation:

We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)

Subtract 6 on both sides of the equation as :

[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]

Dividing both sides of the equation by 8 such that,

[tex]x\le 6[/tex]

So, the value of x is less than equal to 6. Hence, this is the required solution.

Answer:

1) [tex]\frac{3}{7} = \frac{15}{35}[/tex]

2) [tex]\frac{64}{48}=\frac{4}{3}[/tex]

3) [tex]\frac{21}{56}=\frac{3}{8}[/tex]

Step-by-step explanation:

ESTAS SON FRACCIPONES EQUIVALENTES

1. 3(35)/7 = 15 ENTONCES 15/35

2. 48(4)/3 = 64 ENTONCES 64/48

3. 56(3)/21 = 8 ENTONCES 3/8

Answer:

John has 18 pieces of paper.

Larry has 32 pieces of paper.

Step-by-step explanation:

Let [tex]l[/tex] be how many pieces of paper Larry has and [tex]j[/tex] be how many pieces of paper John has.

We get:

[tex]j+14=l[/tex]

[tex]j+l=50[/tex]

[tex]j+j+14=50\\\\2j+14=50[/tex]

Subtract 14 from both sides

[tex]2j=36[/tex]

Divide both sides by 2

[tex]j=18[/tex]

John has 18 pieces of paper.

[tex]j+14=l\\\\18+14=l\\\\l=32[/tex]

Larry has 32 pieces of paper.

Answer:

Barlow School has the greater number of boys by  178.

Answer:

Barlow school by 178

Step-by-step explanation:

→ First let's work out the number of boys at Barlow school

[tex]\frac{4}{9}[/tex]  of  [tex]873[/tex]  [tex]=[/tex]  [tex](873/9)*4[/tex]  [tex]=[/tex]  [tex]388[/tex]

→ There is 388 boys in Barlow school. Now let's work out the number of boys at Willow school. Since we know that  [tex]\frac{2}{3}[/tex]  of the school is girls, it must mean that the remaining part must be boys so the fraction of boys at Willow school is  [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex]  of  [tex]630[/tex]  [tex]=[/tex]   [tex](630/3)*1[/tex]  [tex]=[/tex] 210

→ The question specifies to say which school has a greater number of boys and we can see Barlow school has more boys and the question says by how many so we take away the totals so 388 - 210 = 178

Answer:

The expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]

Step-by-step explanation:

The necessary dimensions of the living room we need are the length and the height. We will not be needing the width because we will not be covering the floors with any wallpaper.

We will now assign variables to represent the surface areas of some features of the rooms.

Let the length of one wall of the living room be = l cm

Let the breadth of one wall of the living room be = b cm

Let the surface area of the doors be = d [tex]cm^{2}[/tex]

From the problem, we know that  l = 5b

The area to be covered on one wall of the living room will be = length X breadth.

l X b

recall l = 5b

[tex]5b \times b = 5b^{2}[/tex]

this is the area to be covered on one wall.

For the four walls, we would have [tex]4 \times 5b^{2}= 20b^{2}[/tex]

Let us remember that the living room has two doors each covering a surface area of [tex]d cm^{2}[/tex] we will have to subtract these out since hey won't be covered.

[tex]20b^{2}- 2d[/tex]

Therefore, the expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]

Answer:

The sum = 4092

Step-by-step explanation:

The sum is equal to A, in which:

A = 4 x (2^0 + 2^1 + 2^2 + ... + 2^9)

   = 4 x [(1 + 2^1 + 2^2 + ... + 2^9)(2 - 1)/(2 - 1)]

   = 4 x (2^10 - 1)(2 - 1)

   = 4 x (2^10 - 1)

  = 4 x  1023

  = 4092

Hope this helps!

Answer:

4092

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

4[tex](2)^{n-1}[/tex] ← is the n th term of a geometric sequence

with a = 4 and r = 2

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex] , thus

[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex] = 4(1024 - 1) = 4 × 1023 = 4092

Answer:

Austin's football

Step-by-step explanation:

If you graph the equation for James's ball, you will find that the maximum height is at 5.125 feet. For Austin, it is over 8 feet. Therefore, Austin's ball goes higher. Hope this helps!

Answer:

austin's

Step-by-step explanation:

Answer: Holy is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

Answer:

holly is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

The slope of the given line is -3/4.

Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.

Use the given point and the point-slope formula to get the equation of the particular line:

y - (-1) = 4/3 * (x - 0)

y + 1 = 4x/3

y = 4x/3 - 1

Answer:

Brainliest here!

Step-by-step explanation:

3 dozen cookies = 1.5 cups

one dozen cookies= 0.5 cups

5 dozen cookies = 2.5 cups of sugar

Answer: -1/2

You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.

Answer:

-1/4

Step-by-step explanation:

Multiplicative inverse is another word for reciprocal

It is the number you multiply by to get 1

-4 * x = 1

Divide each side by -4

x = 1/-4

x = -1/4

Answer:

- 1/4

Step-by-step explanation:

- 4 * x = 1

= - 1/4

Hope this helps!

Answer:7^-2

Step-by-step explanation:

7^-1(7^5/7^6)=7^-1*7^(5-6)=7^-1*7^-1=7^(-1-1)=7^-2

Answer:

$2,000

Step-by-step explanation:

$250-$50=$200

$200*10=$2,000

Answer:

Step-by-step explanation:

We know that a day contains 24 hours in total.

The time already passed will be represented by [tex]x[/tex].

The remaining time would be [tex]\frac{x}{2}[/tex], becasye half of what has already passed remains until the end of the day.

Basically, the sum of these two expression gives 24 hours in total.

[tex]x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16[/tex]

Therefore, the actual time is 4 p.m.

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Answer:

1

Step-by-step explanation:

The line in the graph has a slope of -1. The slopes of lines that are perpendicular have a product of -1 so the answer is 1.

Answer:

The number sentence is false.

Step-by-step explanation:

The inequality given is

20 > 86 − ℎ

We are to substitute the value of h as 46 to see if the inequality is true or false.

20 > 86 - 46

20 > 40

Since 20 is not greater than 40, the number sentence is false.

Answer:

d = [tex]\frac{2S-2an}{n(n-1)}[/tex]

Step-by-step explanation:

Given

S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]

Multiply both sides by 2 to clear the fraction

2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n

2S = 2an + n(n - 1)d ( subtract 2an from both sides )

2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)

[tex]\frac{2S-2an}{n(n-1)}[/tex] = d

Answer:

Hope this helps:)

If so please mark me as Brainliest.

Answer:

C

Step-by-step explanation:

Constant means unchanging. You can see that there is a portion in the graph where the line is just flat. That means that the graph is constant in that interval. Find where the constant line starts and ends. Since the coordinates are increasing by 2, and the constant line starts between 0 and the first tick (2), the constant line starts at 1. Do the same thing to find where it ends(the last point where the line is flat). This should be 6.

That means the line is unchanging(constant) from 1 to 6, which can be represented by C.

Answer:

c

Step-by-step explanation:

2x + 3y > 6                                                                                                          (1)

3x – 2y = 9                                                                                                         (2)

x + 5y = 20                                                                                                        (3)

From (1) and (2), we have:

(2x + 3y) - (3x - 2y) > 6 - 9

5y - x > -3                                                                                                          (4)

From (3) and (4), we have:

(x + 5y) - (5y - x) > 20 - (-3)

2x > 23

x > 12,5                                                                                                               (5)

From (3) and (5), we have:

x + 5y = 20 ⇔ 12,5 + 5y > 20

5y > 7,5

y > 1,5

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5

Answer:

15

Step-by-step explanation:

prime factorization of 30 is 2*3*5

prime factorization of 75 is 3*5*5

3*5 is common

Answer:

L+6=W

Step-by-step explanation:

Answer:

4w + 12

Step-by-step explanation:

w + (w+6) + w + (w+6) = 4w + 12

for perimeter you add all the sided together

w = width

w + 6= length

Answer:

A) -128x^8 - 384x^7

Step-by-step explanation:

The pattern is each term is multiplied by -2x which means by the eighth term youll have 8 x's in the first and 7 in the second. As you started off with a positive and multiplied it an even amount of time you'd end up with a negative answer. Think of it like this, it switches with each multiple so it would go: Positive, negative, positive, negative, this will get you a negative in the eighth term.

I know my explanation is a bit bad! I apologize!

Answer:

its a

Step-by-step explanation:

edge 2020 just took the test