Write the equation of the line in fully simplified slope-intercept form.

Answer: f'(x)=6x

Step-by-step explanation:

f'(x)= lim (h->0) [f(x+h) - f(x)] /h

f'(x)= lim (h->0) [3(x+h)^2 + 1 - (3x^2 + 1)] /h

f'(x)= lim (h->0) [3(x^2+2hx+h^2) + 1 - 3x^2 - 1] /h

f'(x)= lim (h->0) [3x^2+6hx+3h^2 - 3x^2] /h

f'(x)= lim (h->0) [6hx+3h^2] /h

f'(x)= lim (h->0) [6x+3h]

f'(x)= [6x+3(0)]

f'(x)=6x

Total money with Kadeem  = $680

Money spent by him on a new bicycle = $470.65

Money left with him after buying a new bicycle = 680 - 470.65 = 209.35

Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74

Money left with him after buying reflectors = 209.35 - 15.74 = $193.61

Money spent by him on bike gloves = $15.18

Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43

Cost of each outfit = $50.98

Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:

50.98x< = 178.43

x< = 3.5

So, Kadeem can buy 3 outfits while staying within budget

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Answer:

(D)

Step-by-step explanation:

Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.

We are to select the inequality that represents the situation.

We have

total amount of money that Kendra spends on lettuce is given by

and the total amount of money that she spends on tomatoes is

Therefore, the inequality can be written as

Thus, option (D) is CORRECT.

Answer:

expression

Step-by-step explanation:

It's an expression. The expression happens to be a quadratic polynomial.

An equation must have an equal sign.

An equation is a statement that a number or expression equals a number or expression.

Here, there is no equal sign. There is only an expression.

Answer:

This is an expression

8x2+7x-15

Answer:1.2x+5 2.2(x+5) 3.(x+5)^2

Step-by-step explanation:

Answer:

2n-67

Step-by-step explanation:

Twice a number means 'multiply by 2' so we can write 2 x n. We can also write this in a simpler form- 2n

'67 decreased' means minus 67 off your answer so therefore the answer must be:

2n-67

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Answer:3/3 cup or 1 full cup

Step-by-step explanation:1/3 cup=12

                                            2/3 cup=24

                                            3/3 or 1 whole cup=36

Answer:

See explanation

Step-by-step explanation:

If two of the side lengths are equal, use only one of those two equal side lengths. Then, using that one side length, multiply that side length with the third side length to get the area.

side length a, b, and c.

a=b.

A=area.

A=b*c ==> Area of rectangle

We get that Shannon did not mix the correct shade as the ratios are not equal.

We are given that a particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint.

This means that the ratio of the paints in that shade is

Red : Blue = 5 : 7.

Now, we are also given that to make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint.

Here the ratio becomes:

Red : Blue = 8 : 12

= 4 : 6

= 2 : 3

Now, since both the ratios are not equal, he did not mix the correct shade.

Therefore, we get that Shannon did not mix the correct shade as the ratios are not equal.

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The answer of part a is y = 8

The answer of part b is RS = 69, ST = 28

Step-by-step explanation:

a. Since RT = RS + RT, subsitute values of RS and RT in the equation

    97 = (8y + 5) + (3y + 4)

    97 = 11y + 9

    97 - 9 = 11y

    88 = 11y

     y = 8

b. Subsitute the value of y in RS and ST just like done in part a

Proportionately, the number of batches that Chika can make with 2.25kg of sugar is 7.5.

Proportion is the ratio of a variable in the whole.

Proportion shows how much quantity is contained in a variable.

Proportions are represented in decimals, percentages, and fractions.

Number of Batches    2      3      4

Sugar (kg)                  0.6   0.9   1.2

Proportion of sugar

 per batch                 0.3  0.3   0.3

Chika's sugar ingredient = 2.25 kg

The number of batches Chika can make = 7.5 (2.25/0.3)

Thus, the number of batches that Chika can make with 2.25kg of sugar is 7.5.

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This sequence's explicit formula is [tex]a_n=-5+(n-1)*10[/tex]

What is a sequence?

The common distinction is equal to:

10

The sequence's total is equal to:

40

This sequence's explicit formula is:

[tex]a_n=-5+(n-1)*10[/tex]

This sequence's recursive formula is:

[tex]a_n=a_((n-1))+10[/tex]

Next terms:

-5,5,15,25,35,45,55,65,75,85,95...

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Answer:

2-18

2,5

7,18

Step-by-step explanation:

Answer: 85 in

Step-by-step explanation:

A=Area of rectangle. L=length of rectangle. W=width of rectangle

A=L*W

1445=L*17

1445/17=L*17/17

L=85 in

The total amount of money Sam deposited is $1,031.72.

Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.

We need to find out what was the amount Sam deposited.

Add the rate to the purchase price to determine the discount. Subtract the discount from the original price to arrive at the sale price.

The discounted price at which products or services are being sold is known as a sale price.

Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04

=560+180+160+20+4.5+22+18.18+67.04

=1,031.72

Therefore, the total amount of money Sam deposited is $1,031.72.

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Answer:

She will need to buy 589 kilograms.

Step-by-step explanation:

None of the options is correct. 813 divided by 13 equals 62.538461, whose approximate value is 62

13 times 813 equals 62.538461.

813/13 produces a non-terminating, repeating decimal as a consequence.

The repeating pattern seen above, 538461, is referred to as repetend and is shown with an overline and vinculum.

Another typical parenthetical remark is this one: 813/13 = 62.(538461): However, it's likely that you may see the reptend marked with an ellipsis in daily use: 813 / 13 = 62.538461… .

Decimal 813 divided by 13 equals 62.538461.

In a fraction, 813 is equal to 813/13.

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The numerical expression that shows the amount of marbles that Alan has now is; 3(5 + 4)

We are told that he found 4 marbles to add to the 5 marbles in his collection.

Thus, after addition, total number of marbles is;

5 + 4 = 9 marbles

Now, we are told that he tripled this sum of marbles he had. Thus;

Tripling of marbles = 9 * 3

Thus, the numerical expression that shows the amount of marbles that Alan has now is;

3(5 + 4)

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Correct question is;

Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.

Which numerical expression shows the amount of marbles Alan has now?

Answer:

29.16 grams

Step-by-step explanation:

To solve this, you have to use the weight of cocoa formula. So the weight of cocoa = 54% percent of chocolate bar's weight which is 54 gram. So weight of cocoa = 54/100*54. This will give you 29.16 grams.

Answer:

2,040329×5

Step-by-step explanation:

you are multiplying 5 more to the number so it will be 5 times larger than the other number

Answer:      (2,040329) x 5 =10.201645

Step-by-step explanation:

they are both equal too so its neither is greater

Answer:

You have the right form (vertex form). All that you have left to do is learn what parts of the equation signify what.

Step-by-step explanation:

Explanation:

In a quadratic function of form y = a

(

x

−

p

)

2

+ q, the axis of symmetry is found at x = p. As a result, in y = -4

(

x

−

8

)

2

+ 3, the axis of symmetry is at x = 8, since the formula is x - p = x - (+8).

The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).

With this information, the x and y intercepts, and a few other points found by plugging in x values and solving for y, you will be able to graph this parabola. Your graph, if done properly, will look like the following:

graph{y = -4(x - 8)^2 + 3 [-20, 20, -10, 10]}

Answer:

Answer is (-10,7) and inequality form: -10<c<7

Step-by-step explanation:

First factor the equation.

(c+7)(c-10)

Then find out which intervals make (c+7)(c-10)<0.

Answer: Answer is 15 hours

Step-by-step explanation:Given 6 men dig 5 holes in 25 hours

Therefore 10 men will take to dig 5 holes is

workers(1) × time(1) = workers(2)×time(2)

(This formula is used when Total work is same)

where workers(1)= 6 men

Time (1) = 25 hours

workers (2) = 10 men

We have find out Time(2)=T(2)

by applying above formula

6×25=10×T2

after simplify

T2= 15 hours

Answer:

%8.3 or 8.3/100

Step-by-step explanation:

o the answer is 7/12 because 1/3 plus 1/4 is 4/12 + 3/12 is 7/12

32 ounces of pure silver were used to make the silver alloy.

Here, we are given that a silversmith combines pure silver that costs $34.48 per ounce with 51 oz of a silver alloy that cost $25.35 per ounce.

Let the amount of pure silver = x oz

Cost of pure silver = $34.48 per ounce

Thus, total cost of pure silver = $34.48x

Similarly, amount of silver alloy = 51 oz

Cost of silver alloy = $25.35 per ounce

Thus, total cost of silver alloy = 25.35 x 51 = $1292.85

Now, the total weight of the new silver allow formed = (x + 51) Oz

and the cost of this new allow = $28.87 per ounce

Thus, the total weight of the new alloy = $28.87 (x + 51)

Hence, we can form the following equation-

$34.48x + $1292.85 = $28.87 (x + 51)

34.48x + 1292.85 = 28.87x + 1472.37

34.48x - 28.87x = 1472.37- 1292.85

5.61x = 179.52

x = 179.52/ 5.61

x= 32

Hence, 32 ounces of pure silver were used to make the silver alloy.

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Answer: There are 80 people in the 6th grade

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

1.2 = 12/10

so

12/10 x (-5) = -60/10 = -6