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ans=y=8

[tex] \frac{change \: in \: y}{change \: in \: x?} [/tex]

8-8=0

-7--9=2

hence the gradient is 0÷2=0

gradient(0)=

[tex] \frac{y - 8}{x - - 9?} [/tex]

so..,0=y-8

hence the equation is y=8

Lauren got 5 votes in class president election.

Number of votes Lisa got = 36

Let the number of votes of Lauren be x. So, forming the equation between the number of votes of Lisa and Lauren.

36 = x + 6x

Calculating the value of x from mentioned equation

36 = 7x

Rewriting the equation with 7 as denominator

x = 36/7

Performing division on Right Hand Side of the equation

x = 5.14

Rounding off the digits as number of votes will be whole number

x = 5

Based on the mentioned information, Lauren got 5 votes.

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Answer:

80

Step-by-step explanation:

first you need to substract 400 from 2000, then you divide the remaining by 20

An equation of slope-intercept form describing this relationship. Use ordered pairs of the form​ the equation, y = 640x + 4760

Since there were 4760 electric vehicles in 1998, when x=0 (indicating 0 years have passed since 1998), y=4760. There were 1,920 more electric vehicles on the road after three years. 1920 / 3 = 640 is the average rate of change every year. Between 1998 and 2001, there were 640 more automobiles every year.Our slope measures m=640. By dividing the change in y by 4760, or 1920, we can determine the slope.The y-intercept is just the starting point, or x=0. At this point, x=0. The y-intercept is shown here: (0, 4760). Equation of slope intercept: y = 640x + 4760 where b=4760.

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Answer:

10.8 cm

Step-by-step explanation:

To solve this answer, we should use sine law.

[tex]\frac{SinA}{a}[/tex]=[tex]\frac{SinB}{b}[/tex]

[tex]\frac{Sin40}{7}[/tex]=[tex]\frac{Sin81}{x}[/tex]   (cross multiply)

xSin40 = 7Sin81

xSin = [tex]\frac{7Sin81}{40}[/tex]

x= [tex]\frac{7Sin81}{Sin40}[/tex]

x= 10.8 cm

The total number of flowers is 8 flowers.

From the information given, there are 5 yellow flowers there are 3 red flowers.

It should be noted that in order to get the total value of the flowers, we have to add them. This will be:

Yellow flowers = 5

Red flowers = 3

Total flowers = Yellow + Red

= 5 + 3

= 8

The total flowers is 8.

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Complete question

There are 5 yellow flowers there are 3 red flowers.how many are in there all togerther

Answer:

length = 13 cm , width = 14 cm

Step-by-step explanation:

let the length be n , then the width is n + 1

the perimeter (P) of a rectangle is calculated as

P = 2(l + w) ← l is the length and w the width

given P = 54 , then

2(n + n + 1) = 54 ( divide both sides by 2 )

2n + 1 = 27 ( subtract 1 from both sides )

2n = 26 ( divide both sides by 2 )

n = 13

n + 1 = 13 + 1 = 14

so, length = 13 cm and width = 14 cm

Answer:

Step-by-step explanation:

Given:

Binomial: x² + 10x

To Find:

Solution:

To find the constant we would compare the binomial with (a + b)² i.e. a² + 2ab + b² as it is the formula for perfect square.

By comparing we get:

a² = x²

2ab = 10x

b² = constant (To find out)

From this we can make out:

a = x

[tex] \therefore[/tex]

[tex] \rm \implies 2 \times x \times b = 10x \\ \\ \rm \implies b = \frac{10x}{2x} \\ \\ \rm \implies b = 5 \\ \\ \therefore \\ \\ \rm \implies {b}^{2} = 25[/tex]

So, constant that should be added to the binomial so that it becomes a perfect square trinomial is [tex] \boxed{\rm 25} [/tex].

Perfect square trinomial is x² + 10x + 25

Factorisation of the trinomial:

[tex] \rm \implies {x}^{2} + 10x + 25 \\ \\ \rm \implies {x}^{2} + 10x + {5}^{2} \\ \\ \rm \implies {x}^{2} + 5x + 5x + {5}^{2} \\ \\ \rm \implies x(x + 5) + 5(x + 5) \\ \\ \rm \implies (x + 5)(x + 5) \\ \\ \rm \implies {(x + 5)}^{2} [/tex]

The distance covered by second cyclist is, 9 + (3/4)b miles.

What is speed?

Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be meters per second (m/s) in this example since the distance is measured in meters (m) and the time is measured in seconds (s).

Given: Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions.

The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.

Speed of first cyclist = 12 miles per hour.

Speed of second cyclist = 12 + b miles per hour.

Since, distance = speed x time

The distance covered by the second cyclist in 45 minutes is,

45 minutes = 45/60 = 3/4 hour.

Therefore, distance covered by second cyclist is,

=  (12 + b) x 3/4 = 9 + 3b/4 miles.

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The time at which Liz will catch up with Mandy is 1 pm.

Here we have to find the time when Mandy and Liz meet.

Let t be the time taken by Liz to meet Mandy

Given:

Speed of Mandy = 30mile/hr

Speed of Liz = 36 miles/hr

Formula:

Speed = Distance/ time

Distance by Mandy = 30t

Distance by Liz = 36( t - 20/60)

As the distance covered by both is the same. So we have

30t = 36( t - 1/3)

6t = 12

t = 2

2 hours past 11 am is 1 pm.

Therefore Liz catch Mandy at 1 pm.

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The function of the graph is f(x) = |x - 3| + 5

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

Given that the graph is an absolute value graph

We start by calculating the vertex of the graph

In this case, the minimum point on the graph is located at the point (3, 5)

This means that

Vertex = (3, 5) i.e.  (h, k) = (3, 5)

Recall that the general form of an absolute value function is f(x) = |x - h| + k

Substitute the known values in the above equation

So, we have the following equation

f(x) = |x - 3| + 5

On the graph, we have

(x, f(x)) = (2, 6)

So, we have

6 = a|2 - 3| + 5

This gives

a = 1

So, we have

f(x) = 1 * |x - 3| + 5

Evaluate

f(x) = |x - 3| + 5

Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5

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The minimum score needed to receive a grade of A is 88.51

Let, X, be the scores of the student's

X follows Normal Distribution with mean = μ = 73 and standard deviation = σ = 11

The professor has informed us that 7.93 percent of her students received grades of A.

That is  P( X > a ) = 7.93% = 0.0793 .

We have to find a.

P( X > a ) = 7.93% = 0.0793

So, P( X <=  a ) = 1 - 0.0793 = 0.9207

Using function = NORMINV( probability , μ ,σ )

a = NORMINV( 0.9207, 73 , 11 ) = 88.51

The minimum score needed to receive a grade of A is 88.51

We have to find P( X <= 57.93 )

Using function = NORMDIST( x, μ , σ , 1 )

P( X <= 57.93 ) =NORMDIST( 57.93 , 73 , 11 , 1 ) = 0.0853 = 8.53%

8.53 percent of students failed the course

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Answer:

x-intercept (88/7,0), y-intercept (0,11)

Answers:

x intercept = 88/7

y intercept = 11

===============================================

Explanation:

To find the y intercept, we replace f(x) with 0 and solve for x.

f(x) = (-7/8)x + 11

0 = (-7/8)x + 11

(7/8)x = 11

7x = 8*11

7x = 88

x = 88/7 is the x intercept

It is located at (x,y) = (88/7, 0)

The x intercept always occurs when y = 0.

88/7 = 12.5714 approximately, but I would stick to the fraction form since it's most exact.

-------------------------------

The y intercept always occurs when x = 0.

f(x) = (-7/8)x + 11

f(0) = (-7/8)*0 + 11

f(0) = 0 + 11

f(0) = 11 is the y intercept

It is located at (0,11)

The y intercept is much easier to find since we just need to read off the last value of the function (aka the constant value).

Hours taken by Bob and Bill if they work together is 3 1/13.

Here it is given that Bob can do a job in 5 hours and Bill can do the job in 8 hours.

We have to find the time taken by both to do the work if done together.

Time ratio of Bob and Bill = 5: 8

Efficiency of Bob and Bill = 8: 5

Total amount of work done = 5× 8 = 8× 5 = 40

The total efficiency of Bob and Bill = 13

Hours took by both bob and bill to do the work if done together = 40/13

                                                                                                              = 3 [tex]\frac{1}{13}[/tex]

Therefore the work done together is 3 [tex]\frac{1}{13}[/tex] hours.

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x = -1 is the solution to the given inequality |x| - 2 ≤ -3.

The five steps to resolving inequalities are as follows?

When addressing an inequality, we can:

Isolate the variable on one side of the inequality and place all other constants on the other. To achieve this, alter the inequality by performing opposing procedures. First, multiply each side by two to isolate the x. Any action you take toward one side must also be taken toward the other.

C) If x = -1,

|x| - 2 ≤ -3

|-1| - 2 ≤ -3.

1 - 2 ≤ -3.

-1 ≤ -3 which is true.

Hence, x = -1 is the solution to the given inequality |x| - 2 ≤ -3.

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Answer:

Step-by-step explanation:

(a⁴-b⁴)/(a-b)

using..(a+b²)=(a+b)(a-b)

=(a²+b²)(a²-b²)/(a-b)

=(a²+b²)(a+b)(a-b)/(a-b)

=(a²+b²)(a+b)

The budget deficit is how much less the budget is to buy a thing, thus Bobbi has the budget deficit as $3.75 - $0.75 = $3.00 thus option (B) is correct.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

As per the given,

Cost of bandana = $3.75

Budget = $0.75

Budget deficit = $3.75 -$0.75

⇒ $3.00

Hence, "The budget deficit is how much less the budget is to buy a thing, thus Bobbi has the budget deficit as $3.75 - $0.75 = $3.00".

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The given question is incorrect, the correct question follows;

Bobbi wants to buy a bandanna that costs $3.75, but she has only $0.75 in her budget. What is her budget deficit?

A. $0.20

B.$ 3.00

C. $5.00

D.$4.50

The dimensions (in m) of the cardboard box with the largest volume is obtained as 2 m length.

Dimensions of piece of cardboard;

Let the corner cut length be 'x',

New dimensions;

Volume = length x width x height

Put the values;

V = ( 8 - 2x ) (4 - 2x) x

Find the solution of the obtained quadratic equation by quadratic formula.

x = 0, 2 and 4.

As, x ≠ 0 and 4.

Thus, x = 2.

Thus, the dimensions (in m) of the box with the largest volume is obtained as 2 m length.

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Answer:

Michael has 19 sweets

Step-by-step explanation:

19+24+32 = 75

Lilly has: 24

James has: 32

Answer:

55 L

Step-by-step explanation:

Answer: C

Step-by-step explanation:

g(5)=1

Answer:

60x + 35; x = 4.5 hours

(x is not actually equal to 4.5, it is equal to 4.67)

Step-by-step explanation:

The description says that the plumber charges a one time fee of 35 dollars to come to someones house, and then 60 dollars an hour. The total pay is 305 dollars. x will be the number of hours that the plumber works.

60x + 35 = 305

Subtract 35 from both sides: 60x = 280

Divide by 60: x = 280/60

Simplify: x=14/3

Fraction to decimal: x=4.67

Answer: C (60x + 35 = 305; x = 4.5 hours)

It's right trust me! Wish you luck!

Brainliest?

Answer:

Step-by-step explanation:

x2-36=0

+36       +36

x2=36

/2     /2

x=18

Using remainder theorem, Quotient = x-9 and Remainder = x² - x.

P(x) = −x³ – 2x² −9

P(-1) = −(-1)³ – (-1)x² −9

P(-1) = −(-1) – 2(1) −9

= 1 -2 -9

= -10

Remainder of  P(-1) = −(-1)³ – (-1)x² −9 is -10.

Remainder of P(x+1)

= −x³ – 2x² −9 / x+1

Quotient = x-9 and Remainder = x² - x

Hence, using remainder theorem, Quotient = x-9 and Remainder = x² - x.

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The probability that a randomly selected student likes neither rock nor country is taken as;

P(R' ∩ C') = 0.326

Let us denote them as follows;

Number that like to be rock music be - R

Number that like to be Country music be - C

Number that like to be Jazz music be - J

Thus, as we are given and we have;

R is equal to 206

C is equal to 161

J is equal to  118

P(R') =206

P(C') =161

P(R' ∩ C') = 0.326

So, now P is removed  

R ∩ C = 30 - 11 = 1

Hence the answer is none of the above

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By using the concept of supplementary angle, it can be calculated that

The two angles are 47° and 133°

What are supplementary angles?

At first it is important to know about angle.

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.

Two angles are said to be supplementary if the sum of the angles is 180°

Let one angle be x

Other angle = 180 - x

The supplement of an angle is 8 less than three times the measure of the angle

By the problem

180 - x = 3x - 8

3x + x = 180 + 8

4x = 188

x = [tex]\frac{188}{4}[/tex]

x = 47°

Other angle = 180 - 47 = 133°

The two angles are 47° and 133°

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The average skid mark for the car is 98.5 feet.

The average skid mark can be calculated by the formula -

S = ✓30Dfn, where s is speed of car, D is skid distance, f is drag factor and n is braking efficiency. Keep the values in formula to calculate the value of D.

57 = ✓30 × D × 1.1 × 1

Performing multiplication on Right Hand Side of the equation

57 = ✓D × 33

Taking square on both sides of the equation

D = 57² ÷ 33

Taking square on numerator on Right Hand Side of the equation

D = 3249 ÷ 33

Performing division on Right Hand Side of the equation

D = 98.45 feet

Rounding to the nearest tenth of a foot

D = 98.5 feet

Hence, the average skid mark is 98.5 feet.

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Taking into account the definition of a system of linear equations, the textbook store sold 141 math textbooks and 282 psychology textbooks.

A system of linear equations is a set of linear equations (that is, a system of equations in which each equation is of the first degree) in which more than one unknown appears.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

p + m= 423

p=2m

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

2m + m= 423

3m=423

m= 141

Substituting this value in the second equation you get:

p= 2m

p= 2×141

p= 282

Finally, 141 math textbooks and 282 psychology textbooks were sold by the textbook store.

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Answer:A - 200

B - 1 Class Ring and 796 yearbooks

C - No, they would come up short 2800 dollars

Step-by-step explanation:

The relative maxima and relative minima of the function

f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6

The relative minima and maxima is calculated

The procedure is done as follows

x^5 - 4x^3 + 3x^2 - 8x - 6

differentiating gives

5x^4 - 12x^2 + 6x - 8

solving the equation for the critical values are

x₁ = 0.176 + 0.73i

x₂ = 0.176 - 0.73i

x₃ = 1.518

x₄ = -1.871

The second derivative

5x^4 - 12x^2 + 6x - 8

differentiating gives

20x^3 - 24x + 6

substituting x = 1.58

20 * 1.58^3 - 24 * 1.58 + 6

= 46.966 (positive hence minima)

substituting x = -1.871

20 * -1.871^3 - 24 * -1.871 + 6

= -169.9 (negative hence maxima)

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