Express (x – 7)^2
as a trinomial in standard form.

9514 1404 393

Answer:

  15 sodas will give a maximum profit of 83

Step-by-step explanation:

For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...

  a = -1/3, b = 10

  x = -b/(2a) = -10/(2(-1/3)) = 15

The profit for sale of 15 sodas is ...

  P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83

The company would earn a maximum of 83 from sale of 15 sodas.

Answer:

[tex] k = \dfrac{5}{3} [/tex]

Step-by-step explanation:

It is actually a one-step equation.

If you have a number multiplying a variable equaling another number, then you need to do only one operation to solve; you need to multiply both sides by the reciprocal of the number multiplying the variable.

Here we have

[tex] \dfrac{3}{2} = \dfrac{9}{10}k [/tex]

First, switch sides to have the variable, k, on the left side.

[tex] \dfrac{9}{10}k = \dfrac{3}{2} [/tex]

You have a variable, k, multiplied by a number, the fraction 9/10, equaling another number, 3/2. To solve for k, multiply both sides by the reciprocal of 9/10 which is 10/9.

[tex] \dfrac{10}{9} \times \dfrac{9}{10}k = \dfrac{10}{9} \times \dfrac{3}{2} [/tex]

On the left side, you have the product of two reciprocals, 10/9 and 9/10, which equals 1, leaving just k.

On the right side, you must multiply the fraction 10/9 by 3/2 and then reduce.

[tex] k = \dfrac{30}{18} [/tex]

[tex] k = \dfrac{5}{3} [/tex]

Answer:

Vertex (-2,-9)

x-intercepts -5 and 1

y-intercept -5

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The 3 part of the ratio relates to 18

Divide by 3 to find the value of one part of the ratio.

18 ÷ 3 = 6 ← value of 1 part of the ratio , then

7 parts = 7 × 6 = 42 ← the greater number

Area of rectangle where Zebra spotted is 3.36 kilometer²

Step-by-step explanation:

Given that;

Zebras spotted in a  rectangular area

Dimensions of area is 1.4 kilometers by 2.4 kilometers

Find:

Area of rectangle

Computation:

[tex]Area\ of\ rectangle = length \times width\\[/tex]

Area of rectangle = 1.4 x 2.4

Area of rectangle = 3.36 kilometer²

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Answer:

No.

Step-by-step explanation:

Take the second expression: 5(2 - 20)

To solve, you must distribute the 5 to all terms within the parenthesis:

5(2 - 20) = (5 * 2) - (5 * 20) = 10 - 100 = -90

On the other hand:

10 - 20 = -10

∴ the two expressions are not equivalent.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{\bold{No, they are not equivalent because...}}\\\\\\\large\textsf{5(2 - 20)}\\\large\textsf{= 5(2) + 5(-20)}\\\large\textsf{= 10 - 90}\\\boxed{\large\textsf{= \bf -90}}\\\\\large\textsf{10 - 20}\\\large\textsf{\boxed{\large\textsf{= \bf -10}}}\\\\\\\large\boxed{\star}\large\textsf{-10}\neq\large\textsf{-90}\large\boxed{\star}[/tex]

[tex]\huge\boxed{\mathsf{Answer: \bold{NO,}\ because \ \bf -10 \ does \ NOT}}\\\huge\boxed{\mathsf{\bf equal \ to -90}}\huge\checkmark[/tex]

[tex]\bullet\ \frak{Random\ fact: negatives \ are \ on\ the\bf \ LEFT\ side\ of\ the \ number\ line\ \& \ positives}\\\frak{are\ on\ the\bf \ RIGHT\ side\ of\ the\ number\ line}[/tex]

[tex]\large\text{Good luck on your assignment \& enjoy your day!}\\\\\\\huge\boxed{\frak{Amphitrite1040}}[/tex]

Answer:

2x^2 (5 - 9x + 7x^2)

Step-by-step explanation:

use the smallest exponent (x^2) and number (10) to factor

2 and x^2 could be factored from all

when factoring put exponents, you subtract them

2x^2 (5 - 9x + 7x^2)

Answer:

12000

plss mark brainliest

Step-by-step explanation:

8000÷2/3

Explanation:

x = full tank capacity

2/3 of x = (2/3)*x = 8000 which is the amount Ron states when its 2/3 full

To solve for x, we will multiply both sides by 3 and then divide both sides by 2 like so

(2/3)x = 8000

2x = 8000*3

2x = 24000

x = 24000/2

x = 12000 liters is the full capacity

Note that,

2/3 of 12000 = (2/3)*12000 = 8000

which confirms our answer.

10 lbs of raisins contains 20% water by weight, so they contain

0.20 × (10 lbs) = 2 lbs

of water. This means the non-water portion of the raisins weighs 8 lbs. This weight stays the same throughout the drying process.

As grapes, they had a total weight of

8 lbs + w

where w is the water weight, and w happens to be 92% of this total weight. So

w = 0.92 × (8 + w)

Solve for w :

w = 7.36 + 0.92w

0.08w = 7.36

w = 92

Then the total weight of the grapes before they dried out is 100 lbs.

Answer:

no, they are not working at the same rate.

Step-by-step explanation:

Annah takes only 3 minutes to complete 1 homework while Kailey takes 6 minutes to complete 1 homework

Answer:

no no they are not

Step-by-step explanation:

cause if you do 5 times 5 timess 5 times 5 times 5 it it 75 but 10 homework an hour is not equal to it

Step-by-step explanation:

6m + 3z + 4m + 2w - 5z

6m + 4m + 3z - 5z + 2w

10m - 2z + 2w

Therefore the answer is 10m -2z + 2w

Answer:

I think it's Quebec

Step-by-step explanation:

because in canada's history, Canada remained a French territory until 1763 when it became the British colony of the Province of Quebec

[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]

(1) Value of 5³

[tex] \sf{5}^{3} \\ = \sf5 \times 5 \times 5 \\ = \boxed{\bf 125}[/tex]

(2) Value of (3/2)³

[tex] \sf( { \frac{3}{2} })^{3} \\ \sf = \frac{ {3}^{3} }{ {2}^{3} } \\ \sf= \frac{3 \times 3 \times 3}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{27}{8} }[/tex]

=> The answer in decimal format is [tex]\boxed{\underline{\bf \: 3.375}}[/tex]

(3) Value of (-1/2)³

[tex] \sf( \frac{ - 1}{2} ) ^{3} \\ = \sf \frac{ { - 1}^{3} }{ {2}^{3} } \\ \sf = \frac{ - 1 \times - 1 \times - 1}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{ - 1}{8} }[/tex]

=> The answer in decimal format is [tex]\boxed{\underline{\bf \: -0.125}}[/tex]

_______

Hope it helps.

RainbowSalt2222

Answer:(4,1) ?

Step-by-step explanation:

(x1 + x2/ 2 , y1+y2/ 2)

(1+7/ 2, 5+(-3)/ 2)

(4,1)

Step-by-step explanation:

[tex]( \frac{1 + 5 }{2} ) \: and( \frac{7 + 3}{2} ) = ( \frac{6}{2} ) + ( \frac{10}{2} ) = [/tex]

(3,5)

Answer:

y = 3/4m + 2

Step-by-step explanation:

Distance from point 1 to point 2 is up 3, over 4

Point 1 intercepts (0, 2).

Answer:

0.64 cents

Step-by-step explanation:

5.76 divided by 9 = 0.64 so if there are 9 potatoes then each one costs 0.64 cents

Hope this helps, leave any questions in the comments please.

The average number of breaths per minute would be 67.6 breaths per minute.

Average can be calculated by dividing the sum of the observation by the number of observations,

[tex]Average = \frac{sum of observations}{number of observation}[/tex]

Step by step Explanation:

Over the course of 5 minutes, the squirrel takes

65 + 73 + 67+ 71+ 62 = 338 breaths in 5 minutes

So, the sum of observation = 338 and

the number of observations = 5

So If you take that number and divide it by the number of minutes, you will get the average.

[tex]=\frac{338}{5}[/tex]  

 67.6 breaths per minute.

Thus, the correct answer is - 67.6 breaths per minute.

Learn more about average:

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(NO)²

[tex]\huge\mathfrak\red{hope \: it \: helps}[/tex]

Answer:

53

Step-by-step explanation:

At first,

- 7 = 9 + x

By subtracting 9 from both sides, we get

-7-9=9+x-9

-16=x

Now,

By substituting the value of x in -3x + 5 , we get

-3x + 5

-3×(-16)+5

48+5

53

Answer:

P(3 , 0)

Step-by-step explanation:

(x₁, y₁) = A(-3,-3)    ;(x₂ , y₂) B(5, 1)

m : n = 3 : 1

[tex]P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)[/tex]

Answer:

B

Step-by-step explanation:

Using the Pascal's triangle

Pertaining to the 8th term the coefficients are;

1, 8, 28, 56, 70, 56,28, 8 and 1 in that order

Expanding this,

the coefficient of the term x^7y is 8

The algebaraic equation required is :

2.55x + 0.7 = 16

The number of pens Hannah bought is 6

If :

x = number of pens

4 more pencils Than pens ; Number of pencils = x + 4

2 fewer erasers than pens ; number of erasers = x - 2

Total amount spent = $16

The total number of items bought is :

(x) + (x + 4) + (x - 2)

Multiplying by the cost of each :

1.25x + 0.55(x+4) + 0.75(x-2)

Hence, Total amount spent can be represented as :

1.25x + 0.55(x+4) + 0.75(x-2) = 16

1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16

2.55x + 0.7 = 16

The algebraic equation is : 2.55x + 0.7 = 16

The number of pens Hannah bought can be calculated thus :

2.55x + 0.7 = 16

2.55x = 16 - 0.7

2.55x = 15.30

x = 15.30 / 2.55

x = 6

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Answer:

Step-by-step explanation: x = the number of pens Hannah bought

(x + 4) = the number of pencils Hannah bought

(x - 2) = the number of erasers Hannah bought

The equation to solve would be 1.25x + 0.55(x + 4) + 0.75(x - 2) = 16

1.25x + 0.55(x + 4) + 0.75(x - 2) = 16.00

1.25x + 0.55x + 4 * 0.55 + 0.75x - 2 * 0.75 = 16.00

1.25x + 0.55x + 2.20 + 0.75x - 1.50 = 16.00

1.25x + 0.55x + 0.75x = 15.30

2.55x = 15.30

x = 6

Note: if you didn't get a Whole Number, you know that you must've made a mistake. You can't buy part of a pen or pencil or eraser.

x = the number of pens Hannah bought = 6

(x + 4) = the number of pencils Hannah bought = 6 + 4 = 10

(x - 2) = the number of erasers Hannah bought = 6 - 2 = 4

You can check your work: 1.25(6) + 0.55(6 + 4) + 0.75(6 - 2) = 1.25(6) + 0.55(10) + 0.75(4) = 16 (check!)

Answer:

(2,2)

Step-by-step explanation:

(5+-1/2,8+-4/2)

(-2,2)

Answer:

x = 2

Step-by-step explanation:

(x+16)/3 = 3x

=> x+16 = 3x × 3

=> x+16 = 9x

=> 16 = 9x - x

=> 16 = 8x

=> 16/8 = x

=> 2 = x

Answer:

f(-3)=g(-4)

Step-by-step explanation:

both functions intersect at point (-3;-4)..

Answer:

A

Step-by-step explanation:

e 2021

Answer:

4 step by step explanation

The at {x} = 10, the value of the function remains +8.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that the function f(x) is defined as -

f(x) = + 8

The given function is a constant function. This means that the value of the function remains the same irrespective of the value of {x} or the value in the function domain. So, at {x} = 10, the value of the function remains +8 only. This is true for all the values of {x}.

Therefore, the at {x} = 10, the value of the function remains +8.

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