TWhich of the following is the graph of f(-*)?X X X X

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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Answer:

(A ruler) = X  (a pen) = Y

y = x+10

Step-by-step explanation:

Answer:

A ruler cost x pence.

Pen costs 10 pence more than the ruler

Answer:       to get better in math:-

i) listen to the math class properly

ii) practice the math works thoroughly

iii) do homeworks on time

iv) if there is any doubt still feel free to ask to the teacher

v) do revision of the taken chapters once in month

vi) If u can attend tuition classes then attend them

doing these steps I'm sure u can be better in math.

Hope it helped u, pls mark this as brainliest and put thanks for the ans

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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Answer:

40 words

Step-by-step explanation:

120 words/3 minutes is the same as 120 divided by 3

so, you divide 120 by 30 and you get 40 words per minute

Answer:

Step-by-step explanation:

We are going to make a questioning. Look:

If in 3 minutes she can type 120 word

In    1 min  how many will she type X

We adopt X as a thing witch we don't know. This forms a Rule of three. It happens when we have got 3 values but miss us 1 yet.

Generraly you'll sort the values by type. In this case, I put minutes under minute and words under words.

A Fast way to solve is: multiply where there is not an incognt (1*120) and divide by what left (3)

So:

1*120=120

Divided by 3 (120/3) it's equals 40 words per minute.

Good studies!

-ZehTheJohn

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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To satisfy the equation y = -3x - 4, we need to substitute the given values of x and y in the equation and check if it holds true.

For the ordered pair (-4, y):

y = -3(-4) - 4

y = 12 - 4

y = 8

So, the ordered pair (-4, 8) satisfies the equation y = -3x - 4.

For the ordered pair (x, 2):

2 = -3x - 4

6 = -3x

x = -2

So, the ordered pair (-2, 2) satisfies the equation y = -3x - 4.

The ratio of height to perimeter of mural is 19:67.

The perimeter of mural will be calculated by the formula -

Perimeter = 2 × (length + breadth)

So, finding the perimeter using the mentioned formula. Keep the values of length and breadth in formula to calculate the perimeter of mural.

Perimeter = 2 × (145 + 190)

Performing addition of values in bracket

Perimeter = 2 × 335

Performing multiplication

Perimeter = 670 feet

Ratio = Height : Perimeter

Ratio = 190 : 670

Cancelling zero to find the ratio

Ratio = 19 : 67

Hence, the ratio of the height to the perimeter of this mural is 19:67.

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Answer:

24

Step-by-step explanation:

Use the Pythagorean theorem.

Where the sum of the two legs squared is equal to the hypotenuse squared.

10² + x² = 26²

100 + x² = 676

x² = 576

x = √576

x = 24

The value of x is 24.

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Answer:

because it's an odd exponent

Step-by-step explanation:

-2^3 = -(2*2*2)

(-2)^3 = (-2)*(-2)*(-2)

if it was ^4 the sign would be flipped:

-2^4 = -(2*2*2*2) = -16

(-2)^4 = (-2)*(-2)*(-2)*(-2) = 16

The way to put this is that any negative base raised to an odd-numbered power, will result in a negative result, whereas any negative base raised to an even-numbered power, will result in a positive result, with the EXCEPTION of a negative base written WITHOUT grouping symbols. For instanse:

\(\displaystyle -1000 = -10^3 \\ -1000 = [-10]^3 \\ \\ BUT \\ \\ 10000 ≠ -10^4\:[-10000 = -10^4] \\ 10000 = [-10]^4\)

I hope you know the differense now, and as always, I am joyous to assist anyone at any time.

Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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Answer:

52

Step-by-step explanation:

find the area of each individual piece

top and bottom dimensions are 4 X 3- so each one is 12 inches squared

the left and right side dimensions are 4 X 2- each one is 8

the front and back dimensions are 3 X 2 each one is 6

Surface area- add all together

12+12+8+8+6+6= 52 in squared

Answer:

23 pints.

Step-by-step explanation:

We have been given an expression , where p is the number of pints of jam Oliver made last year. Our given expression represents the number of pints of jam Oliver makes this year.

We are also told that Oliver made 8 pints of jam last year. To find the number of pints of jam made by Oliver this year, we will substitute p=8 in our given expression.

Therefore, Oliver makes 23 pints of jam this year.

Answer: 23 pints.

Step-by-step explanation:
We have been given an expression , where p is the number of pints of jam Oliver made last year. Our given expression represents the number of pints of jam Oliver makes this year.

We are also told that Oliver made 8 pints of jam last year. To find the number of pints of jam made by Oliver this year, we will substitute p=8 in our given expression.

Therefore, Oliver makes 23 pints of jam this year.


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The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

Answer:

3 costumers per minutes

Step-by-step explanation:

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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A service call charge or fee is when you are charged a certain amount of money in order for a service technician to perform that specfic service.

Answer:

14, 3!

Step-by-step explanation:

It is very complicated to explain.

i can't type because im slow

Answer:

should be 20

Step-by-step explanation:

yes

Answer: She had added the Denominator, instead of finding the LCM.

Explanation: She should've multiplied them by a common number to equal a common Product, and replace the Denominator with the Product. (The correct denominator is 20, because 4 x 5 = 20, and 5 x 4= 20)

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Answer:

Congruence is a relationship of shapes and sizes, such as segments, triangles, geometrical figures, while equality is a relationship of sizes, such as lengths, widths, heights.

Congruence deals with objects while equality deals with numbers. You wont say that two shapes are equal or two numbers are congruent.

Step-by-step explanation:

Line A:

y=4

Line B:

x = 8

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

1 = 7x=42 (divide both sides by 7)

7x/7 =42/7

x=6

2.=9y=81 (divide both sides by 9)

9y/9y= 81/9

y=9

3.= –40=8a (divide both sides by 8)

–40/8= 8a/8

a=5

4.=y divided 11=12

y=11 multiplied by 12

y= 132

5.= –15y=135( divide both sides by –15)

–15y/–15=135/–15

y= –9

6.= 17p=51(divide both sides by 17)

17p/17=51/17

p=3

7.= –65= –13w (divide both sides by 13)

–65/–13=–13w/–13

w=5

8.=y/–2=4

(cross multiply)

y/–2=4/1

4 multiplied by –2= –8

therefore:y= –8

Step-by-step explanation:

I HOPE THIS HELPED :)

Answer:

a) 7x=42

Step-by-step explanation

use the co-efficient of the unknown to divide both sides

7x=42

7x/7=42/7

x=6

9y=81

9y/9=81/9

y=9

-40=8a

is the same thing as

-8a=40

-8a/-8=40/-8

a=-5

y+11=12

y=12-11

y=1

-15y=135

-15y/-15=135/-15

y=9

17p=51

17p/17=51/17

p=3

-65=-13w

13w=65

13w/13=65/13

w=5

y/-2= 4

cross multiply y=-8

Answer:

a.) each line segment represents a length of 1/8

b.) N = 3/8

c.) -3/8

Step-by-step explanation:

a.) In order to find the interval / length of each line segment, simply count how many line segments there are until you reach one whole integer. Basically, start on one number and count how many sections until the next number.

So for this example, let's start counting from the number 0. From 0 to the next number, 1, there are a total of 8 sections from 0 to 1, so they're each split up into 1/8s.

b.) Count each line as 1/8 from 0 to N to get what N represents. So from 0 to N, there are 3 lines/portions, so N is 3/8 because 1/8 + 1/8 + 1/8 = 3/8

c.) Just put a negative sign in front of N to get the opposite