Question 10 of 25
Which of the following functions is graphed below?
20
15
10
+
-8
2
2
-5
-10
-15
-20
O A. y-(*12. x1
+3,
x+6,
O B. y = {x+3, x 21
x2
1 x+6, x<1
O C. ya
[x2 +3, x <1
X+6, 21
O x=
O D. y = .
[x2 + 3, x 51
2x+6, x>1

4 pounds of fertilizer is mixed to make a mix of 80 pounds of soil.

The relationship between two things is called Ratio. It is written in p:q form.

It is given that

For 10 pounds of soil , farmer mixes 8 ounces of fertilizer.

=8/16 = 0.5 pounds of fertiliser

The ratio is 10 : 0.5

Suppose he mixes x pounds of fertilizer for 80 pounds of soil

to determine x

The ratio is 80 : x

As they are in Proportion

10 / 0.5 = 80 /x

x = 80 * 0.5 /10

x = 4 pounds

Therefore 4 pounds of fertilizer is mixed to make a mix of 80 pounds of soil.

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Answer:

8xb=a (answer)

Step-by-step explanation:

I hope this helps :)

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

Answer:

256

Step-by-step explanation:

multiply it 4time by itslef  so its like

4 time 4 times 4 times 4

I think

The value of the expression 4 to the power of 4 is 256.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be solved as below:-

The given expression is 4⁴. The expression can be written as:-

4⁴ = 4 x 4 x 4 x 4

Multiply the value 4 four times to get the solution for the expression.

4⁴ = 16 x 16

4⁴ = 256

Therefore, the value of the expression 4 to the power of 4 is 256.

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Answer:

 proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

Consider the following cylinder:

Notice that the base of this cylinder is a round disk. Thus, we can conclude that the correct answer is:

Answer:

9

Step-by-step explanation:

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Answer:

120

Step-by-step explanation:

48 + 72

= 120

Answer:

Thus, 2/3 is the simplified fraction for 48/72 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 48/72 by using the prime factorization method.

Step-by-step explanation:

The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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Answer:

Yellow - E - F = 0

Step-by-step explanation:

E - F = -2

0 - 2 = -2

Answer:

i think its yellow, hope it helped

Step-by-step explanation:

all i did was looked at the letter and then the numbers and did the subtraction

Answer:

B.) 90.000

Step-by-step explanation:

Your pre-selected answer choice is correct. The 9 is in the Ten Thousands place.

The lengths of the other two sides of the right triangle are 36 and 85, respectively.

To find the lengths of the other two sides of a right triangle when one leg has a length of 11, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the lengths of the other leg and the hypotenuse as x and y, respectively.

According to the Pythagorean theorem, we have:

x² + 11² = y²

To find the values of x and y, we need to find a pair of whole numbers that satisfy this equation.

We can start by checking for perfect squares that differ by 121 (11^2). One such pair is 36 and 85.

If we substitute x = 36 and y = 85 into the equation, we have:

36² + 11² = 85²

1296 + 121 = 7225

This equation is true, so the lengths of the other two sides are:

The other leg = 36

The hypotenuse = 85

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Answer:

x = 45

y = 7

Step-by-step explanation:

To obtain the value of x and y, do the following:

√7 – 3√5

Rearrange

– 3√5 + √7

Multiply through by –1

3√5 – √7 ... (1)

Express 3√5 as a single surd

3√5 = √(3 × 3 × 5)

3√5 = √45

Replace 3√5 with √45 in equation 1

3√5 – √7

√45 – √7

Comparing

√45 – √7 and √x – √y i.e

√45 – √7 = √x – √y

x = 45

y = 7

Answer:

First set = 60 minutes

Second set = 66 minutes

Step-by-step explanation:

Given that:

Length of third set = 71.28 minutes ;

Third set was 8% longer than second set ;

Length of second set = x

Third set = (100% + 8%) = 108% of second set

71.28 = 1.08 * x

71.28 = 1.08x

x = 71.28 / 1.08

x = 66

Hence, second set = 66 minutes

Second set was 10% longer than the first

(100 + 10)% of first set = second set

110% of first set = second set

Let first set = y

1.1 * y = 66

1.1y = 66

y = 66 / 1.1

y = 60

Hence, first set = 60 minutes

First set = 60 minutes

Second set = 66 minutes

Answer:

The expression 42/-7 isn't undefined... The quotient is -6

Step-by-step explanation:

The value of the expression 42 / -7 will be -6 the expression is defined.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is 42/-7. The expression will be solved as below:-

E = -42 / 7

E = -6

Therefore, the value of the expression 42 / -7 will be -6 the expression is defined.

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Answer:The picture did not load

Step-by-step explanation:Sorry

Answer:

8km 323m

Step-by-step explanation:

The total distance given by summing up all the distances traveled using different means.

Distance by bus = 5km 28m

Distance by car = 2 km 265 m

Distance on foot = 1 km 30 m

(1km + 2 km + 5km) + (30m + 265m +28m) = 8km + 323m

Step-by-step explanation :

Here we have been given with the distance travelled by Abhishek through bus , car and foot. We're asked to calculate the total distance travelled by him.

But we will first convert the distance which is in kilometres into metres in order to do that. And after that we will add them all.

• Distance travelled by bus :

> Bus = 5km 28m

> Bus = 5 × 1000 + 28

> Bus = 5000 + 28

> Bus = 5028 m

• Distance travelled by car :

> Car = 2km 265m

> Car = 2 × 1000 + 265

> Car = 2000 + 265

> Car = 2265m

• Distance travelled by foot :

> Foot = 1km 30m

> Foot = 1 × 1000 + 30

> Foot = 1000 + 30

> Foot = 1030m

★ Now, total distance would be calculated as follows :

>> Total distance = (5028 + 2265 + 1030) m

>> Total distance = (7293 + 1030) m

>> Total distance = 8323 m

Therefore,

Answer:

B. (3,-6) and (7,-6)

Step-by-step explanation:

because when the slope is zero the y's should be the saem, for it's a straight horizontal line.

Find the area of the shapes that limit the figure, it means, find the area of the 2 triangles and the 3 rectangles that compose the figure.

Rectangles:

Triangles (but first it is necessary to find the height of the triangles using the pythagorean theorem)

The last step is to add 3 times the area of the rectangle plus 2 times the area of the triangle to find the total surface area.

The surface area of the figure is 1002.72mm^2. The right answer is the third one.

Answer:

Step-by-step explanation:

Answer: Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

Step-by-step explanation:

Let tye number of messages that Manal sent be x.

Since Eissa sent 10 fewer messages than Manal, this will be:

= x - 10

Abdulrahman sent 3 times as many messages as Eissa. This will be:

= 3(x - 10) = 3x - 30

We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:

x + (x - 10) + (3x - 30) = 95

x + x - 10 + 3x - 30 = 95

x + x + 3x - 10 - 30 = 95

5x - 40 = 95

5x = 95 + 40

5x = 135

x = 135/5

x = 27

Manal = x = 27

Elisa = x - 10 = 27 - 10 = 17

Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51

Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

Answer:

C

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)

The denominator cannot equal 0, so:

\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)

Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Answer:75

Step-by-step explanation:

Answer:

The first thing to do is to make the denominators of the fractions the same:

16 / 4 = 4.  4 X 3 = 12.

12/16.

16 / 1 = 16.  16 X 1 = 16

16/16

Now you write this out as a fraction equation:

(16/16 - 1/16) / 12/16

15/16 / 12/16

Since all you need to know is the whole number, you can easily tell that 15 / 12 is less than 2.  

Therefore, Alex is able to fill one 3/4-point containers with orange butter.

Step-by-step explanation:

Answer:

113.3 yards

Step-by-step explanation:

Using Pythagorean Theorem..

100^2 * 53 1/3^2 = 12844.444441

\(\sqrt{12844.444441}\) ≅ 113.3 yards

Your welcome!

Kayden Kohl

8th Grade Student