Find the value of k to complete the square for the quadratic equation:
y = x2 - 6x + k

Answer:

A 4 sided shape with. A 4 sided shape with 2 parallel sides.

all right angles are. all right angles are 90 degress.

All the angles add up to 360 degrees. All the angles add up to 360 degrees.

Step-by-step explanation:

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Answer:

35.3

Step-by-step explanation:

Answer:

4(3x+2)

Step-by-step explanation:

Just factor the expression.

An equivalent expression is,  4 (3x + 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 12x + 8

Now, We can find an equivalent expression as;

⇒ 12x + 8

⇒ 4 × 3x + 4 × 2

⇒ 4 (3x + 2)

Thus, An equivalent expression is,

⇒ 4 (3x + 2)

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Answer:

c=1

Step-by-step explanation:

Simplify both sides of the equation first.

−8(1+4c)+7c=−25−8c

(−8)(1)+(−8)(4c)+7c=−25+−8c

−8+−32c+7c=−25+−8c

(−32c+7c)+(−8)=−8c−25

−25c+−8=−8c−25

−25c−8=−8c−25

Add 8 to both sides.

−17c−8+8=−25+8

−17c=−17

Divide both sides by -17.

-17c/-17 = -17/-17

c=1

Answer:

total time = 250/x

Step-by-step explanation:

Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second half of the trip. The time he spent driving can be calculated as follows.

The first half of the trip

distance = 150 miles

time = ?

speed = x

speed = distance/time

time = distance/speed

time = 150/x

The second half of the trip

distance = 150 miles

time = ?

speed = 1.5x

time = distance/speed

time = 150/1.5x

Total time travelled = 150/x + 150/1.5x

total time = 150/x + 100/x =150 + 100 /x = 250/x

total time = 250/x

Answer:

Step-by-step explanation:

Answer:

A. -48

Step-by-step explanation:

To find f(-12), we put -12 in for x and solve like shown:

[tex]f(-12)=(4)(-12)\\f(-12)=-48[/tex]

Answer:

a. -48

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

70 + 30 = 100

180 - 100 = 80

Answer:

[tex]x = 80 \: \: degrees[/tex]

Step-by-step explanation:

[tex]70 + 30 + x = 180 \\ 100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: \: degrees[/tex]

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Answer:

flour = 11.5, sugar has to be equal to 2.75 pounds.

Step-by-step explanation:

your 2 inequalities are:

2x + 3y <= 40

y <= 2x + 6

the second equation can be shown as:

-2x + y <= 6

solve the equality portion of these 2 inequalities.

those are the following equations:

2x + 3y = 40

-2x + y = 6

add these equations together and solve for y to get

y = 11.5

that appears to be a break even point.

when y = 11.5, the first inequality is solved as follows:

2x + 3y <= 40

replace y with 11.5 and the inequality becomes:

2x + 34.5 <= 40

solve for x to get

x <= 2.75

when y = 11.5, the second inequality is solved as follows:

-2x + y <= 6

replace y with 11.5 and the inequality becomes:

-2x + 11.5 <= 6

solve for x to get x >= 2.75

this indicates that, when y = 11.5, x has to be equal to 2.75.

both constraints are satisfied.

Answer:

Let each sack of sugar weigh $s$ pounds and each sack of flour weigh $f$ pounds. Then from the given information, $2s + 3f \le 40$ and $f \le 2s + 6.$ Also, $s > 0$ and $f > 0.$ We graph these the intersection of these inequalities below.(document attached

We see that the largest possible value of $f$ occurs at the points where the lines $2s + 3f = 40$ and $f = 2s + 6$ intersect. Solving for $f,$ we find $f = \boxed{\frac{23}{2}}.$

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

(3x-2)/4  +1 =5

subtract 1 from each side

(3x-2)/4  +1 -1 =5-1

(3x-2)/4   =4

Multiply each side by 4

(3x-2)/4  *4 = 4*4

3x-2 = 16

Add 2 to each side

3x-2+2 = 16+2

3x = 18

Divide each side by 3

3x/3= 18/3

x = 6

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

[tex] \frac{3x - 2}{4} + 1 = 5 \\ \frac{3x - 2}{4} = 5 - 1 \\ \frac{3x - 2}{4} = 4 \\ 4 \times \frac{3x - 2}{4} = 4 \times 4 \\ 3x - 2 = 16 \\ 3x = 16 + 2 \\ 3x = 18 \\ \frac{3x}{3} = \frac{18}{3} \\ x = 6[/tex]

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Answer: c the third option

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

cost=flat fee+changing fee

flat fee=5.50

changing fee=cost per ticket times number of tickets

we know that 5 times cost per ticket=108

divide by 5

cost per ticket=21.6

c=number of tickets

total cost=5.5+21.6c

TC=21.6c+5.5

Answer:

a) 34m/s

b) 42.5 m/5

Step-by-step explanation:

The average speed is the distance divided by the time. This is:

Vaverage = 1700m/50s=34 m/s

The value of K is, knowing that the area under the curve is 1700

k*30+k*20/2=1700

30k + 10k = 1700

40k=1700

k=42.5

Answer:

Week 1: 80

Week 2: 160

Week 3: 320

Week 4: 640

Week 5: 1280

Step-by-step explanation:

Week 5 there are 1280 infected trees, the infection numbers double weekly. Divide week 5 (1280) by 2 and you find week 4 (640) divide that by 2 and you find week 3 (320) divide that by 2 and you find week 2 (160) divide that by 2 and you find the first week (80)

The Number of infected trees are:

Week 1: 80

Week 2: 160

Week 3: 320

Week 4: 640

Week 5: 1280

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

In week 5, 1280 trees were infected.

As, Each week, the number of trees infected with the fungus doubles.

In week 4:

Number of trees infected = 1280 / 2 = 640

In week 3:

Number of trees infected = 640/ 2 = 320

In week 2:

Number of trees infected = 320 / 2 = 160

In week 1:

Number of trees infected = 160/ 2 = 80

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Since our line is perpendicular to this line, the slope of

our line is the negative reciprocal of 1/4, which is -4/1.

Remember, negative reciprocal is just a fancy way

of saying flip the fraction and change the sign.

So the slope of our line is -4/1 and we use this slope along

with our given point to write the equation of our line.

Start with the point-slope formula.

Y - y1 = m(x - x1).

~Substitute

Y - -2 = -4/1(x - 5).

Minus a negative is plus a positive.

Y + 2 = -4/1x + 20.

Subtract 2 from both sides.

Y = -4/1x + 18

So, our answer is C.

-11 and -11 are the two numbers that adds to -22 and multiply to 121

If we add 11 and 11 then it equals to -22.

if we multiply 11 and 11 then,it equals to 121

hope it helps...

Good luck on your assignment

Answer: Both numbers are -11.

Step-by-step explanation:

You can represent this using two equations, where the variables are x and y:

[tex]x + y = -22\\x * y = 121[/tex]

Then, solve the system using substitution by substituting y in the first equation into the second equation:

[tex]y = -22 - x\\ x * (-22 - x) = 121\\\\-x^2 - 22x - 121 = 0\\x^2 + 22x + 121 = 0\\[/tex]

Then, solve the quadratic equation by factoring it:

[tex](x+11)^2 = 0[/tex]

The only solution (or zero) to the equation is -11.

This means that both numbers are equal to -11.

-11 - 11 = -22

-11 * -11 = 121

Answer:

7500. There are 100 centimeters in a meter therefore 75 meters have 7500 centimeters.

Description:

Using the formula Multiply the length value by 100 . We multiply the length by the hundred. In this case length is 75. Meaning 75 times 100 = the answer. The answer for this question is 7500.

Metre 75 = Centimetre 7500

Formula: Multiply the length value by 100

Answer: 7500

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Hope this helps.

Answer:

7 1/6

Step-by-step explanation:

13 - 5 5/6

Borrow 1 from the 13 in the form of 6/6

12 6/6 - 5 5/6

Subtract the whole numbers

12 -5 =7

Subtract the fractions

6/6-5/6 = 1/6

7 1/6

Answer:

300 edges and 200 vertices

Answer:

Answers are below and bolded for you. Questions are underlined.

Step-by-step explanation:

Evaluate 2x − 4 for x = 9.

2×9-4=

18-4=

16

Evaluate −b + 8 for b = 3.

-3+8=

5

Find the value of the expression 12x+3 if x = 12.

12×12+3=

144+3=

147

For the equation y = 3x + 4, find the value of y if x = 2.

y=3×2+4

y=6+4

y=10

The expression $25 + $10h gives the amount of money that Stephanie earns per day, where h is the number of hours she works. How much does she earn if she works 4 hours?

If she works 4 hours, our equations is now:

$25+$10×4=

$25+$40=

$65

Simplify each of the following expressions:

3(x + 2) + 4(x − 2)=

3x+6+4x-8=

7x-2

2(x + y) − 3(x + y) −(y + 8) + 4(6 − y)=

2x+2y-3x+3y-y+8+24-y=

-x+2y+3y-y+8+24-y=

-x+4y+8+24-y=

-x+3y+32 or 32-x+3y

2(4x + 3) − 3(x + 1)=

8x+6-3x+3=

5x+9

Answer:

0 squirrels

Step-by-step explanation:

If you subtract 98 from 105 then you get 7. That means that 7 squirrels will be lost per year. If you then multiply 7 by 15 (15 is the amount of years) then you get 105 and since there were 105 to start off with, there will be no squirrels left after 15 years.

Answer:

34 Squirrels

Step-by-step explanation:

7\ 105 ~0.07

A=Aoe^kt

A=98e^(-0.07•15)

A=98e^-.05

A=34.3~ 34 Squirrels

Answer:

yes

Step-by-step explanation:

Counterclockwise is going left, so if you start at the top, 270 degrees left of a clock will result in the same as 90 degrees clockwise.

Answer:

Yes it will.

Step-by-step explanation:

Imagine a circle. A full rotation is 360 degrees. So, that means you're going to be 90 degrees froma full rotation. That means that if you back track 90 degrees you're going to get to the same spot as when you go clockwise 270 degrees. The best way to think of it is having the hands of a clock start at 12.

Answer:

26.7% is the percent of decrease

Step-by-step explanation:

$150=100% price (starting og price)

110 =? or x (discounted price)

We need to find what is the decrease from 150 to 110 in percentage

Use ratios to solve:

$150:100%

$110:x (unknown)

Cross multiply to find x

150 times x= 150x, and 100x110 = 11000

= 150x=11000

Lets get x all by itself to fully solve. We have to divide to get x by itself:

= 150x/150=11000/150 (divide 150 both sides always)

= 73.3,

Now we subtract 73.3 from 100 to get the decrease percentage

100-73.3=26.7 which is the percent of decrease

Answer:

[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]

Step-by-step explanation:

The locust population grows according to an exponential model with the following general formula:

[tex]L(t) = L_0*(1+r)^{\frac{t}{T}}[/tex]

Where 'L0' is the initial locust population, 'r' is the increase rate after 'T' days, and 't' is the time passed, in days.

Applying the given data, the function that models the locust population t days since the first day of spring is:

[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]

Answer:

sqrt2<1.5<sqrt7<2.8

you need an pic for an Answer:

Step-by-step explanation:

Answer:

a, (x^2)^3 = x^6 = x^2.x^4

b, x^5·x^7 = x^12 = (x^3)^4

c, x^4·x^22 = x^26 = (x^2)^13

d, (x^2)^8 = x^16 = x^2.x^14

e, x^10/x^3 = x^7 = x^20.x^(-13)

f, x^(-3) = x^4.x^(-7)

g, 1/x^(-3) = x^3 = x^4.x^(-1)

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Answer:2

Step-by-step explanation:

Answer:

Third

Step-by-step explanation:

h c

0 485

3 560

8 685

12 785

The table that shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project is third table.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that John paid $485 to build a deck.

And he will pay $25 per hour to his brother for building the deck.

one hour of work costs John $25 + $485 .

Total cost of building deck = $25 × h number of hours + $485

3 hour of work costs $25 × 3 = $75 + $485 = $560

8 hour of work costs = $25 × 8 = $200 + $485 = $685

12 hour of work costs = $25 × 12 = $300 + $485 = $785

Therefore, the third table suggests the total cost of work.

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Answer:

a = (d-c)/b

Step-by-step explanation:

ab + c = d

ab = d -c

a = (d-c)/b

Answer: a = d - c/b

Explanation: To get a by itself, we first subtract c from both sides.

So we have ab = d - c.

Now divide both sides by b to get a = d - c/b.

Answer:

-7/6

Step-by-step explanation:

You first have to find the common denominator, which in this case is 12. 3/4ths can be converted to 9/12ths. Then you subtract 9/12ths from -5/12, and get -14/12. Finally you simplify it and get -7/6.:)