f(x) = 6x² + 3x + 2 and g(x) = x - 7
Find f(x) * g(x)

Answer:

2,4

Explanation:

Because a midpoint is the middle of the line

Answer:

[tex]mAB=(2,4)[/tex]

Step-by-step explanation:

Step 1: Use the midpoint formula to solve

[tex]mAB=(\frac{x1 +x2}{2},\frac{y1+y2}{2} )[/tex]

[tex]mAB=(\frac{0+4}{2},\frac{6+2}{2} )[/tex]

[tex]mAB=(\frac{4}{2},\frac{8}{2} )[/tex]

[tex]mAB=(2,4)[/tex]

Therefore the midpoint on the line segment AB is (2,4)

Answer: A. 30+(-12)+70

Step-by-step explanation:

Commutative property of addition is given by : a+b = b+a , where a and b can be any expression of real numbers.

It basically changes the order of the so that simplification of any expression becomes easier.

In A. we use this property as

30+(-12)+70 = 30+[(-12)+70]

= 30 + [70+(-12)]  [we switched order of (-12) and 17]

= 30+70-12

= 100-12

= 88

The rest of the expression already arranged accordingly, there is no need to apply commutative property to change the order of the numbers.

So the correct option is A. 30+(-12)+70.

Answer:

a. DC

b. B

c. ED

Ray CD is the same as ray DC.

A ray with the endpoint A would be ray BA. The starting point would be point B and ending point would be A.

The opposite ray to ray EC is ray ED. The two rays are opposite to each other.

Answer:

She would receive 96 points

Step-by-step explanation:

The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.

Mathematically

Y= kt

Where k is constant of proportionality

If y= 72 and t= 3

72=k3

72/3= k

24= k

So

Y= 24t

If t= 4

Y= kt

Y= 24(4)

Y= 96

Y = 96 points

She would receive 96 points

Question:

At a local county fair, the officials would like to give a prize to 100 selected people at random from those attending the fair. As of the closing day, 12500 people have attended the fair and completed their entry form. The probability that an individual who attended the fair and completed the entry form will win a prize is:

Answer:

[tex]Probability = \frac{1}{125}[/tex]

Step-by-step explanation:

Given

Population = 12,500

Selection = 100

Required

Determine the probability that the selected person will win a prize

To do this, we simply divide the number of those that needs to be selected by the total population;

i.e.

[tex]Probability = \frac{Selection}{Population}[/tex]

[tex]Probability = \frac{100}{12500}[/tex]

Divide the numerator and denominator by 100

[tex]Probability = \frac{1}{125}[/tex]

Hence, the required probability is ;

[tex]Probability = \frac{1}{125}[/tex]

Answer: [tex]900[/tex]

Multiply

[tex]-18*-10=180[/tex]

Multiply

[tex]180*5=900[/tex]

Note

Multiplying/Dividing a negative to a positive will equal a negative. (N×P=N)

Multiplying/Dividing a negative to a negative will equal a positive. (N×N=P)

Multiplying/Dividing a positive to a positive will equal a positive. (P×P=P)

Answer:

x=13

Step-by-step explanation:

Divide both sides by -5 then solve the equation for x

Answer:

[tex]a_n = 2S - a_1[/tex]

Step-by-step explanation:

Given

[tex]S = \frac{a_1 + a_n}{2}[/tex]

Required

Determine the formula for [tex]a_n[/tex]

What this question implies is to solve for [tex]a_n[/tex]

[tex]S = \frac{a_1 + a_n}{2}[/tex]

Multiply both sides by 2

[tex]2 * S = \frac{a_1 + a_n}{2} * 2[/tex]

[tex]2 S = a_1 + a_n[/tex]

Subtract [tex]a_1[/tex] from both sides

[tex]2S - a_1 = a_1 - a_1 + a_n[/tex]

[tex]2S - a_1 = a_n[/tex]

[tex]a_n = 2S - a_1[/tex]

Hence; the formula to solve [tex]a_n[/tex] is [tex]a_n = 2S - a_1[/tex]

Answer:

an=2S-a1n/n

Step-by-step explanation:

Answer:

The expression = -75

Step-by-step explanation:

Evaluate: Enter a number for each variable.

−x2+7(y+2)−1

x=

5

y=

-9

Evaluate for x=5,y=−9

−52+7(−9+2)−1

−52+7(−9+2)−1

=−75

Answer:

a. x = 9

b. x = 3.6

Step-by-step explanation:

a. By Basic proportionality theorem:

AB/BD = AC/CE

4/4 = x/9

1 = x/9

9 = x

x = 9

b.

[tex] In \: \triangle ABC \: \& \: \triangle EDF\\

\angle B \cong \angle D....(given) \\

\angle C \cong \angle F.....(given) \\

\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\

\therefore \frac{AB}{ED} = \frac{BC}{DF} ...(csst) \\

\therefore \frac{2}{5} = \frac{x}{9}\\

\therefore x = \frac{2\times 9}{5} \\

\therefore x = \frac{18}{5} \\

\huge \red{\boxed {\therefore x = 3.6}} \\[/tex]

Answer:

The correct answer is x = 12.

Step-by-step explanation:

To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles.  This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected.  This is modeled below:

9x - 54 = 4x + 6

Now, we can solve this equation like any other.  The first step is to subtract 4x from both sides.

9x - 4x - 54 = 4x - 4x + 6

5x - 54 = 6

Then, we should add 54 to both sides.

5x - 54 + 54 = 6 + 54

5x = 60

Finally, we can divide both sides by 5.

5x/5 = 60/5

x = 12

Therefore, the correct answer is x = 12.

Hope this helps!

Answer:

The value of x is 12°.

Step-by-step explanation:

Given that AC is the angle bisector of ∠BAD which means that AC cuts exactly the center of ∠BAD so ∠BAC and ∠CAD must be the same.

In order to find the value of x, you have to make ∠BAC = ∠CAD

[tex]∠BAC = ∠CAD[/tex]

[tex]9x - 54 = 4x + 6[/tex]

[tex]9x - 4x = 6 + 54[/tex]

[tex]5x = 60[/tex]

[tex]x = 60 \div 5[/tex]

[tex]x = 12[/tex]

Answer:

17.60

Step-by-step explanation:

Look at the room carefully, the length of the room is 11 feet

And the height = 10 feet

The area of the 4 walls of the room = 4( 11×10) = 440 sq ft

Area covered by each roll = 25 sq ft

= 440/25 = 17.60 rolls

Therefore we require 17.60 rolls to cover a rectangular room on all four sides.

Answer:

parallel

Step-by-step explanation:

u = <-9,9,3>

v = <12,-12,-4>

test if the given vectors are orthogonal ( dot product = 0 )

we have to find the dot product of the vectors to determine is it will be = 0

u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0

hence the given vectors is not orthogonal

next check if the vectors are linearly dependent

(-9/12 ) = - 3/4

(9/-12)  =  - 3/4

( 3/-4 )  = - 3/4

since they are linearly dependent then they are parallel

Answer:

1/15

Step-by-step explanation:

Total no. of balls = 2+3+5 = 10

No. of red ball =2

Probability of 1st being red = 2/10 =1/5

Probability of 2nd being blue = 3/9 =1/3

Therefore, chance that one will be red and the other blue, in any order

= 1/5×1/3 = 1/15

A corollary needs theorem to be proven true.

" A corollary is defined as the statement which either need little explanation or no explanation to prove true. It is based on already proven statements."  

According to the question,

Inverse is not consider as already proven statement. It is function which needs to calculate.

Hence, Inverse is not true.

Identity are formula which is not a geometric term.

Hence , identity is not true.

Theorem are geometric term, which can be used to prove other statements true as it is already proved.

Hence, corollary needs theorem to be proven true.

Common notion are like postulates which are consider as without proof. Common notion are not limited to geometry.

Hence, common notion is not true.

Therefore, A corollary needs theorem to be proven true.

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Answer:

Verbal expression =9(x+8) =7

Step-by-step explanation:

Let the unknown number be x

[tex]9(x+8) =7\\[/tex]

Further solution ;

[tex]9\left(x+8\right)=7\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9\left(x+8\right)}{9}=\frac{7}{9}\\\\Simplify\\x+8=\frac{7}{9}\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\frac{7}{9}-8\\\\Simplify\\x=-\frac{65}{9}[/tex]

Answer:

see below

Step-by-step explanation:

This has only 4 sides and a pentagon has 5 sides

This is a quadrilateral ( 4 sided)

This is a special 4 sided figure called a trapezoid

Answer:

Step-by-step explanation:

pentagon= 5 sides

Quadrilateral=4 sides

parallelogram=4 sides

Rhombus=4 sides

square=4 sides

Rectangle=4 sides

Trapezoid=4 sides

all these of 4 sides come under Quadrilateral.

Answer:

C. 3.8 min < ?X - ?Y < 4.8 min

Step-by-step explanation:

Let both flares be X and Y

For X

n1 = 35

Bar x1 =19.4

D1 = 1.4

For Y

n2 = 40

Bar X2= 15.1

S2 = 0.8

√(x1²/n1) + (x2²/n2)

=√ (1.4²/35)+(0.8²+40)

= 0.2683

Critical value, t = 2.032

We now have to calculate margin of error

0.2683x2.032

= 0.545 this is approximately equal to 0.5

Bar x1 - bar X2

= 19.4 - 15.1

= 4.3

At 95% confidence level

4.3+-0.5

4.3+0.5= 4.8

4.3-0.5 = 3.8

Therefore the answer is 3.8min<X-Y<4.8min

Answer:

d.f.(treatment) = 6

d.f.(error) = 35

Step-by-step explanation:

In the question we have

k = 7

r= 6

n= rk= 42

1. The degrees of freedom for the numerator is calculated as under

d.f.(treatment) = k-1= 7-1= 6

Where k gives the number of columns

2. The degrees of freedom for the denominator is calculated as under

d.f.(error) = k (r-1)= n-k= 42-7=35

where k gives the number of columns and r gives the number of rows.

This is for one way ANOVA as asked above.

Answer:

10.758

Step-by-step explanation:

Answer:

I would believe it is the final answer by the way it's put! hope this helps :)

The correct inequality is 43x + 72 ≤ 1,128.

Given,

Jasmine wants to use her savings of $1,128 to buy video games and movies.

The total price of the movies she bought was $72.

The video games cost $43 each.

We need to choose the inequality that would be used to solve the maximum number of video games Jasmine can buy with her savings.

We have,

< - less than

> - greater than

≤ - less than and equal

≥ - greater than and equal

Find the total cost of the movies.

= $72

Find the cost of each video game.

= $43

Find the savings Jasmine has.

= $1,128

The amount Jasmine can use to buy movies and video games is $1,228.

So, we can use less than or equal to $1,228 to buy movies and video games.

i.e ≤ $1,128

We have,

Cost of movie = $72

Cost of each video game = $43

We can write the inequality as:

$72 + $43x ≤ $1,128

Where x is the number of video games.

Thus the correct inequality is 43x + 72 ≤ 1,128.

Learn more about the writing system of inequality for buying two items with a total of 80 items here:

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Answer:

tndjxisjebducu

ejdjdnebdix

Answer:

2/7

Step-by-step explanation:

Since multiplication fractions is just multiplying all numerators together and all denominators together, we can group all these fractions together into one big fraction as they are all being multiplied together:

(2x3x4x5x6x)/(3x4x5x6x7)

Because each term is being multiplied together, if it also appears in the denominator, they will cancel each other out (as x multiplied by y and then divided by y is just x as the ys cancel each other out)

Therefore we are just left with 2/7.

Hope this helped!

Answer:

rational

Step-by-step explanation:

ans

a) Rational

Hope this helps you...

Answer:

85.6

Step-by-step explanation:

you just add the numbers which is 428 and divide that by 5 which is 85.6

Answer:

85.6

Step-by-step explanation:

To find the mean, add up all the scores then divide by the number of tests

(76+ 88+ 82+ 94+88)/5

428/5

85.6

Answer:

y= 3(x-1)^2+2

Step-by-step explanation:

The vertex form for h(x)= -3x^2-6x+5 is y= 3(x-1)^2+2.

HOPE THIS HELPED!

HAVE A GREAT DAY!

The equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The vertex form of a quadratic equation is given as y = a(x-h)² + k, where h and k are the x and y coordinates of the vertex of the parabola.

Given the equation of the parabola, h(x) = –3x² – 6x + 5. Comparing the given equation with the general quadratic equation, the value of the variables a, b, and c can be written as shown.

  ax² + bx + c

–3x² – 6x + 5

Therefore, the value of a, b, and c is -3, -6, and 5.

Now, substitute the values in the equation of the vertex of a parabola, now, the value of the h and k coordinates can be written as,

h = -b/(2a) = -(-6)/(2 × -3) = -1

k = c - b²/(4a) = 5 - [(-6)²/ (4× -3)] = 8

Hence, the equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.

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Answer:

0.266666....

Step-by-step explanation:

see the calculator

lol

Answer:

b

Step-by-step explanation:

read the comment