Which factorization is equivalent to 6x2 + 7x − 10? A) (6x + 5)(x + 2) B) (6x − 5)(x + 2) C) (6x + 5)(x − 2) D) (6x − 5)(x − 2)

1. 4 cubed is 64 (4 x 4 = 16 x 4 = 64

2. Choice A. y=3x(x+5)+4 is a parabola

Answer:

A.) is the best option

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation: Since there are 24 hours in a day, 1/4 would be equal to 6 hours out of the day.

Answer: (25%)

Correct Answer 100%! Pls, give me brainliest. Thank You

Answer:

The second term is -6 , the fourth term is 0 , the eleventh term is 21

Step-by-step explanation:

* Lets revise the explicit formula

- An explicit formula will create a sequence using n, the number

 position of each term.

- If you can find an explicit formula for a sequence, you will be able

 to quickly and easily find any term in the sequence by replacing

 n with the number of the term you want

- It defines the sequence as a formula in terms of n.

* Now lets solve the problem

- The formula of the sequence is A(n) = -9 + (n - 1)(3)

- A(n) is any term in the sequence

- n is the position of the number

- To find the second term put n = 2

∵ n = 2

∴ A(2) = -9 + (2 - 1)(3) = -9 + (1)(3) = -9 + 3 = -6

* The second term is -6

- To find the fourth term put n = 4

∵ n = 4

∴ A(4) = -9 + (4 - 1)(3) = -9 + (3)(3) = -9 + 9 = 0

* The fourth term is 0

- To find the eleventh term put n = 11

∵ n = 11

∴ A(11) = -9 + (11 - 1)(3) = -9 + (10)(3) = -9 + 30 = 21

* The eleventh term is 21

Answer:

Second term = -6

Fourth term = 0

Eleventh term = 21

Step-by-step explanation:

We are given the following explicit formula of an arithmetic sequence and we are to find the second, fourth and the eleventh terms of this sequence:

[tex]a_n=-9+(n-1)(3)[/tex]

where [tex]a_n[/tex] = nth term, [tex]a_1=-9[/tex] and [tex]n[/tex] = number of term.

Second term [tex](a_2) = -9+(2-1)(3)[/tex] = -6

Fourth term [tex](a_4) = -9+(4-1)(3)[/tex] = 0

Eleventh term [tex](a_{11}) = -9+(11-1)(3)[/tex] = 21

We just have to evaluate and compare the numbers:

[tex]4^3 = 64\\(-2)^5 = 32\\(-7)^2=49\\(-3)^4 = 81\\(-5)^2=25[/tex]

So, the only expression that exceeds 4^3 is (-3)^4

(-3)^4

Step-by-step explanation:

Answer:

The minimum value of this function is -40.

Step-by-step explanation:

Recall that the minimum of a quadratic whose graph is a parabola that opens up, as this one does, is the vertex of the graph.  The x-coordinate of the vertex is given by x = -b / (2a), where a is the coefficient of the x^2 term and b is that of the x term.

Here, x = -12 / (2*2), or x = -12/4, or x = -3.

Find the y-value at this x-value:  f(-3) = 2(-3)^2 + 12(-3) - 22, or

                                                      f(-3) = 2(9) - 36 - 22, or -40.

The vertex is at (-3, -40).  The minimum value of this function is -40.

The provided quadratic function y=2x²+12x-22 has no local minimum or maximum, as indicated by the application of the second derivative test, which results in a point of inflection rather than an extrema.

The minimum or maximum of the quadratic function y=2x²+12x-22. To locate the extrema of a quadratic function, we often use the first derivative test. However, the information provided indicates the derivative vanishes at x = 2 (y' = 0), but the second derivative test (y" = 6x - 12) reveals that this point is a point of inflection rather than a minimum or maximum. The second derivative being zero at x = 2 implies that there is no concavity change and hence, no local extrema. Therefore, for this particular quadratic function, there is no local minimum or maximum. The function can be rewritten as y = (x - 2)³ + 8, which shifts the function y = x³ two units to the right and eight units upwards, further emphasizing that it indeed has no local extrema.

Answer:

s = 4

Step-by-step explanation:

4s * 4 = 64

Simplify: 16s = 64

Divide: s = 64/16

Simplify: s = 4

“ s “ equals 4 therefore 4 is the answer

Answer:

(C) The probability of buying bread and cheese is 0.12

Step-by-step explanation:

P(Event A) = 0.6

P(Event B) = 0.2

If Event A and Event B are independent,

Then P(Event A and Event B) = 0.6 x 0.2 = 0.12

A and B are independent events if:

 C.   The probability of buying bread and cheese is : 0.12

Two events  A and B are said to be independent.

                     if P(A∩B)=P(A)×P(B)

where P denote the probability of an event.

Here,

Event A= A shopper buys bread

and Event B=A shopper buys cheese

Also we have:

P(A)= 0.60 and P(B)= 0.20

If A and B are independent events then,

P(A∩B)=0.60×0.20

i.e.

P(A∩B)=0.12

i.e.If A and B are independent then the probability of buying bread and cheese is: 0.12

Also we know that:

P(A∪B)=P(A)+P(B)-P(A∩B)

If A and B are independent then,

P(A∪B)=0.60+0.20-0.12

i.e.

P(A∪B)=0.68

If A and B are independent then the probability of buying bread or cheese is: 0.68

Answer:

To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.

When we look at these side lengths, we can see that only the second answer is suitable because from the lengths, we can predict that 13 is the length of the hypotenuse, 5 is the length of the shorter leg and 12 is the length of the other leg, and when you actually calculate it, the result is correct as well:

5² + 12² = 25 + 144 = 169

13² = 169

So the answer is B

I’m thinking that the answer is B! Sorry if I’m wrong!:)

Answer:

B. $8 profit

Step-by-step explanation:

Loss is negative and profit is positive

Monday :      -11

Tuesday:     +18

Wednesday: -7

Thursday:    +8

                 ------------

                   +8

We have a profit of 8

Answer:

8

Step-by-step explanation:

Answer:

482.8

Step-by-step explanation:

Answer:

The perimeter of the plot of land is approximately 482.8 feets.

Step-by-step explanation:

By the given diagram,

The perimeter of the plot of land = The perimeter of the quadrilateral having the vertices (0,0), (0,120), (140,100) and (140,20),

Since, the perimeter of the quadrilateral having the vertices (0,0), (0,120), (140,100) and (140,20) = The distance between (0,0) and (0,120) + The distance between (0,120) and (140,100) + The distance between (140,100) and (140,20) + The distance between (140,20) and (0,0)

By the distance formula,

[tex]=\sqrt{(0-0)^2+(120-0)^2}+\sqrt{(140-0)^2+(100-120)^2}+\sqrt{(140-140)^2+(20-100)^2}+\sqrt{(0-140)^2+(20-0)^2}[/tex]

[tex]=\sqrt{120^2}+\sqrt{19600+400}+\sqrt{0+80^2}+\sqrt{19600+400}[/tex]

[tex]=120+100\sqrt{2}+80+100\sqrt{2}[/tex]

[tex]=200+200\sqrt{2}[/tex]

[tex]=482.842712475[/tex]

[tex]\approx 482.8\text{ feet}[/tex]

Hence, the perimeter of the plot land is approximately 482.8 feets.

Answer:

confusing activities with accomplishments

Step-by-step explanation:

Answer:

confusing activities with accomplishments.

Step-by-step explanation:

Answer is..

5.88%

(96.25/1636.25)%

= 5.88%

Final answer:

To calculate the gain percentage, subtract the gain from the selling price to get the cost price, and then divide the gain by the cost price and multiply by 100. The dealer's gain percentage is approximately 6.25%.

Explanation:

The subject of the question is to calculate the gain percentage of a dealer who sells an article for ₹1636.25 and gains ₹96.25. To find the gain percentage, we need to identify the cost price first. The cost price (CP) can be calculated by subtracting the gain from the selling price (SP), which gives us CP = SP - Gain = ₹1636.25 - ₹96.25 = ₹1540.

Next, we calculate the gain percentage using the formula:

Gain Percentage = (Gain / Cost Price) * 100

Substituting the values, we get:

Gain Percentage = (₹96.25 / ₹1540) * 100

Therefore, the gain percentage of the dealer is approximately 6.25%.

Answer: 23.21

Explanation: I did 110x21.21 divided by 100

The number 110 is 21.1% of the number 521.33, as of the given percentage.

Given that,
To determine the number whose 21.1% is 110.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
let the number be x,
110 = 21.1% of x,
x = 110 / 0.211
x = 521.33

Thus, the number 110 is 21.1% of the number 521.33.

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Answer:

option B) Bar 2

Step-by-step explanation:

The histogram represent the number of gallons of gasoline on x axis.

The number of drivers purchase weekly on y axis.

In this histogram 5 Bars are shown.

First bar represents = 5 drivers

Second bar represents = 6 drivers

Third bar represents = 1 driver

Fourth bar represents = 3 drivers

Fifth bar represents = = 4 drivers

So the second bar represents the the number of gallons most drivers purchased during the week.

Therefore, option B) Bar 2 is the correct answer.

Answer:

bar2

Step-by-step explanation:

Multiply the two numbers first

6*3= 18

Divide the total volume by 18

144/18=6

Answer: Missing length is 6 ft .

Answer:

6x³ + 24x² + 18x - 12

Step-by-step explanation:

We require the product

(2x² + 4x - 2)(3x + 6)

Each term in the second factor is multiplied by each term in the first factor, that is

2x²(3x + 6) + 4x(3x + 6) - 2(3x + 6) ← distribute all parenthesis

= 6x³ + 12x² + 12x² + 24x - 6x - 12 ← collect like terms

= 6x³ + 24x² + 18x - 12

Answer:

Break even occurs at 2800 juice boxes.

Step-by-step explanation:

Fixed cost form the factor = $1400

Variable cost per unit juice box = 15 cents = $0.15

Let number of juice boxed produced to get brek even point = x

Then total cost = c(x)= 1400+0.15x

Selling price per unit juice box = 65 cents = $0.65

Then total sales = R(x)= 0.65x

At break even both sales and cost will be equal so we get:

[tex]0.65x=1400+0.15x[/tex]

[tex]0.65x-0.15x=1400[/tex]

[tex]0.50x=1400[/tex]

[tex]x=\frac{1400}{0.50}[/tex]

[tex]x=2800[/tex]

Hence break even occurs at 2800 juice boxes.

Answer:

A

Step-by-step explanation:

3/5 of the letters are roses and 3/5 = 6/10 = 60%

Final answer:

The correct option that shows 60% roses is b. 50% of the flowers are blue and 50% of the flowers are red.

Explanation:

The question asks which option shows 60% roses. The correct option would be b. 50% of the flowers are blue and 50% of the flowers are red. This is because 60% of the flowers in Karen's garden are roses, and the remaining 40% would consist of other flowers, such as blue and red flowers.

Answer:

[tex]\left[\begin{array}{ccc}-2&-1&1\\6&0&3\end{array}\right][/tex]

Explanation

Given in the question two matrix, a matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions.

Here the dimensions are 2x3 and 2x3.

[tex]\left[\begin{array}{ccc}0&2&4\\4&4&1\end{array}\right][/tex][tex]-\left[\begin{array}{ccc}2&3&3\\-2&4&-2\end{array}\right][/tex]

To subtract two matrices, just subtract the corresponding entries

[tex]\left[\begin{array}{ccc}0-2&2-3&4-3\\4+2&4-4&1+2\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2&-1&1\\6&0&3\end{array}\right][/tex]

Answer:

0.5 and 1/2

Step-by-step explanation:

half of 100 is 50 so thats the 1/2 put 1/2 into decimal form and its 0.5

Answer:

The second option is the correct answer

Step-by-step explanation: Hope this helps

The group of numbers is listed from greatest to least will be 8, |-6|, 5, |-4|, |1|

The descending order is one in which the numbers are in decreasing pattern or numbers vary from the greatest to the lowest.

In the question there are four options:-

|-3|, |-4|, |-7|, |-8|, |-9|

8, |-6|, 5, |-4|, |1|

-3, |-1|, 0, 2, 7

9, 7, |6|, -5, |-4|

We can clearly see that option second has a series of descending numbers. The series is descending from the number 8 to 1 in the decreasing pattern of the numbers.

Hence a group of numbers are listed from greatest to least will be 8, |-6|, 5, |-4|, |1|

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Answer:

The value increases

Step-by-step explanation:

the smaller the divisor, the larger the quotient.

It increases I am taking the quiz right now and I checked.

Answer:

63.5

Step-by-step explanation:

they all form a triangle, and the formula for that is a²+b²=c²

a=96       b=wire        c=72

96²+b²=72²

9216+b²=5184

-9216        -9216

b²= -4032

square root of -4032 = 63.5

Answer:

Step-by-step explanation:

The zeros of this cubing function are easily read from the graph:  {-20, -5, 15}.

The factors of this polynomial are therefore (x + 20), (x + 5) and (x - 15).

The y-intercept is (0, 1).

The function is thus f(x) = a(x + 20)(x + 5)(x - 15).

According to the y-intercept, if x = 0, y = 1.

Thus, y = 1 = f(0) = a(20)(5)(-15), or 1 = a(100)(-15), or 1 = -1500a.

Then a = -1/1500, and the function is:

f(x) = (-1/1500)(x^3 + .. +  .. + ... ).  We must multiply out (x + 20)(x + 5)(x - 15) to obtain f(x) in finished form.

Answer:

zeros: (-20, 0), (-5, 0) and (15, 0)

factors: (x + 20), (x + 5) and (x - 15)

f(x) = a*(x + 20)*(x + 5)*(x - 15)

a = -1/1500

f(x) = -1/1500*(x + 20)*(x + 5)*(x - 15)

f(x) = -1/1500*x^3 - 1/100*x^2 + 11/60x + 1

Step-by-step explanation:

The zeros of the function are those points where the function intercepts the x-axis. They are: (-20, 0), (-5, 0) and (15, 0)

The zeros of a polynomial are expressed as factors as follows: (x - a) where a is a zero. Then, for this case, the factors are (x + 20), (x + 5) and (x - 15)

The equation of f(x) use the factors and the leading coefficient as follows: f(x) = a*(x + 20)*(x + 5)*(x - 15)

Applying the distributive property of multiplication, we get the expanded form:

f(x) = a*(x + 20)*(x + 5)*(x - 15)

(x + 20)*(x + 5) = x^2 + 5x + 20x + 20*5 = x^2 + 25x  + 100

f(x) = a*(x^2 + 25x  + 100)*(x - 15)

(x^2 + 25x  + 100)*(x - 15) = x^3 - 15x^2 + 25x^2 - 15*25x + 100x - 100*15 = x^3  + 15x^2 - 275x - 1500

f(x) = a*(x^3 + 15x^2 - 275x - 1500)

The y-intercept of the graph is (0, 1). Replacing this point into the function equation:

1 = a*(0 + 20)*(0 + 5)*(0 - 15)

1 = a*20*5*(-15)

1 = a*(-1500)

a = -1/1500

Replacing this value  into the function equation:

f(x) = (-1/1500)*(x^3 + 15x^2 - 275x - 1500)

f(x) = -1/1500*x^3 - 1/100*x^2 + 11/60x + 1

Answer:

Option D. [tex]y-3=5(x+1)[/tex]

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

In this problem we have

[tex]m=5[/tex]

[tex](x1,y1)=(-1,3)[/tex]

substitute the values

[tex]y-3=5(x+1)[/tex]

Answer: C... {y|y ≥ -1}

Step-by-step explanation:

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

in vertex form (h, k) = (-1, -11)

This meaning the range ={y|y ≥ -11}

Answer:

the answer is C

Step-by-step explanation:

Answer:

A. 34; B. 40. D. 88

Step-by-step explanation:

The rule is, "multiply by six and subtract two."

So, if we add two to the number, it should be evenly divisible by 6.

We can check each number.

A. 34 + 2 = 36; 36/6 = 6. TRUE.

B. 40 + 2 = 42; 42/6 = 7. TRUE.

C. 55 + 2 = 57; 57/6 = 9½. False.

D. 88 + 2 = 90; 90/6 = 15. TRUE.

E. 119 + 2 = 121; 121/6 = 20⅙. False.

The numbers that satisfy the rule are 34, 40, and 88.

Answer:

Option D is correct .i.e., Most likely, the number of baseball cards in the deck is 27.Step-by-step explanation:we find probability of getting a Base ball card and compare it with probability of Baseball card from whole data.let,Total No. of Sports Cards in Data 1= 60and No. of Base ball card in Data 1 = xIn Data2,Jamie recorded data for 20 times⇒Total No. of cards in Data 2 = 20In which 9 cards are of Baseball and 11 cards are of Football.⇒ No. of Baseball card in Data 2 = 9Now by comparing,Therefore, Option D is correct .i.e., Most likely, the number of baseball cards in the deck is 27.

Step-by-step explanation:

Answer:

1.06t

Step-by-step explanation:

When the annual rate on a loan is 12% , which was represented using the expression 1.12t. Where t is the time. We are asked to write an expression that represents the 6 months interest rate applied. Assuming the rate of interest for 6 months be 6% half yearly, the expression for the same will be 1.06t

Answer:

1.06t

Step-by-step explanation:

When the annual rate on a loan is 12% , which was represented using the expression 1.12t. Where t is the time. We are asked to write an expression that represents the 6 months interest rate applied. Assuming the rate of interest for 6 months be 6% half yearly, the expression for the same will be 1.06t

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