W is less than or equal to 5 and greater than or equal to -2

Answer:

By solving the question y =11

Answer:

y=11

Step-by-step explanation:

the factors of P(x) are:(x + 4)(x - 6)(x + 3)

If P(-4) for the polynomial function P(x) = x³ + 11x² + 34x + 24 equals zero, then it means that x + 4 is a factor of the polynomial function.

Let's substitute -4 for x in the polynomial function, then we'll have:

P(-4) = (-4)³ + 11(-4)² + 34(-4) + 24P(-4) = -64 + 176 - 136 + 24P(-4) = 0If P(-4) is zero, then the polynomial has a factor of x + 4.

We can find out the other factor by dividing the polynomial by x + 4:x³ + 11x² + 34x + 24 ÷ (x + 4) = x² + 7x + 6(x + 4) + (-10x - 24)x² + 7x + 6 + (-10x - 24) = x² - 3x - 18

We can now factor this quadratic polynomial: x² - 3x - 18 = (x - 6)(x + 3)

Therefore, the factors of P(x) are:(x + 4)(x - 6)(x + 3)

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The values of[tex]a^3 + 8b^3[/tex]are 280 when b = 3 and 125 when b = 5/2.

To find the value of [tex]a^3 + 8b^3[/tex], we can use the given information about a and b. Let's proceed step by step:

1. We are given that a + 2b = 10. We can rearrange this equation to express a in terms of b: a = 10 - 2b.

2. We are also given that ab = 15. Substituting the expression for a from the previous step into this equation, we get (10 - 2b)b = 15.

3. Expanding the equation, we have [tex]10b - 2b^2 = 15.[/tex]

4. Rearranging the equation, we get[tex]2b^2 - 10b + 15 = 0.[/tex]

5. This is a quadratic equation in terms of b. We can solve it using factoring, completing the square, or the quadratic formula. In this case, we can factor the equation as (b - 3)(2b - 5) = 0.

6. From the factored equation, we find two possible values for b: b = 3 or b = 5/2.

7. To find the corresponding values of a, we substitute these values of b into the expression a = 10 - 2b. We find a = 4 when b = 3, and a = 0 when b = 5/2.

8. Now, we can calculate the value of [tex]a^3 + 8b^3[/tex] using the values of a and b we found. For the case when b = 3, we have [tex]a^3 + 8b^3 = 4^3 + 8(3)^3[/tex] = 64 + 216 = 280. For the case when b = 5/2, we have[tex]a^3 + 8b^3 = 0^3 + 8(5/2)^3 = 0 + 8(125/8) = 125.[/tex]

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Answer:

x

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation you provided can be rewritten as:

(x + 6)² + (y + 1)² = 42

This is the equation of a circle with center (-6, -1) and radius the square root of 42.

Answer:

The median and IQR

Step-by-step explanation:

Hope it helps

The sequence is arithmetic. The common difference is 6. Answer: b

If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ...  to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.

The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.

Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7

Therefore, the common difference d is 6.

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Answer:

x=5

Step-by-step explanation:

9x=4x+25

-4x  -4x

5x=25

x=5

Answer:

13.7

Step-by-step explanation:

A{2} + B{2} =C{2} \\

6{2} +B{2} =15{2} \\

6x6+B(2) =15x15\\

36+B(2)=225\\

            -36\\

            \sqrt{189} =13.7

Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)

The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

The ratio of rise to run is the slope of the graph, which tells us  how many steps should we take on the y-axis for every step we move forward on the x-axis.

Answer:

Joseph pays £133.20

Step-by-step explanation:

740 - 296 = 444

30% of 444 = 133.20

Therefore he pays £133.20

The dimensions of the framed picture would be "x + 2" centimeters for the width and "x + 8" centimeters for the length, where "x" represents the width of the original rectangular picture.

To determine the dimensions of the framed picture, we can use the information. Let's assume the width of the picture is "x" centimeters.

Since the rectangular picture is 6 centimeters longer than it is wide, the length of the picture would be "x + 6" centimeters.

When a frame 1 centimeter wide is placed around the picture, it adds 1 centimeter to each side of the picture.

Therefore, the width of the framed picture would be "x + 2" centimeters (2 additional centimeters for the frame on both sides) and the length would be "x + 6 + 2" centimeters (2 additional centimeters for the frame on both sides).

In simplified form, the dimensions of the framed picture would be width: "x + 2" centimeters and length: "x + 8" centimeters.

The complete question is "'A rectangular picture is 6 cm longer than it is wide. A frame 1 cm wide is placed around the picture. Write a polynomial that represents the area of the frame?"

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Answer:

Step-by-step explanation:

given data

mints $0.96 per pound

chocolates $4.70 per pound

lollipops $0.07 each

cost of each items based on the amount item

mints $0.96*0.75= 0.72

chocolates $4.70*1.5=7.05

lollipops $0.07*15=1.05

total cost= 0.72+7.05+1.05

total cost=$8.82

Answer:

The answer is 8.82

Step-by-step explanation:

Answer:

844,000

Step-by-step explanation

Last three numbers are the hundreds, that's what you round when doing thousands. If it is higher than 500, then raise it to the next thousand, if not then keep it the same. In this case, 590>500, so I will round up to 844,000.

Answer:

$5.50-$2=7x(when we consider cost of one candy bar as x)

Answer:

Hi guys! Its 6, I took the quiz and I was sure to check after!!

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

0 is a whole number not natural

Natural Number can be classified as "Positive Integer" or "Counting Numbers". So think about it, In real life, we count from 1 right? We do not start from 0 for counting numbers.

So it's false.

Answer:

25

Step-by-step explanation:

Answer:

x<6

Step-by-step explanation:

5x < 30 divide by 5

x=6

Answer:

Step-by-step explanation:

21

Answer:

79 degrees

Step-by-step explanation:

x and the angle that measures 79 degrees are alternate interior angles, which makes them the same measure.

Alternate interior angles are both on the inner sides of the parallel lines but on opposite sides of the transversal, which is the diagonal line crossing m and n. Another way you can identify these angles is by noticing the "Z" shape that they make.

I hope this helps! Please comment if you have any questions.

Answer:

5/9

Step-by-step explanation:

Answer:

[tex]\frac{16}{21}[/tex]

Step-by-step explanation:

I hope this helps!

Answer: A. 4(8m-2) and 32m -8

Step-by-step explanation: First distribute the 4 to 8m and -2 to get 32m - 8 which is equal to 32m - 8.

32m - 8 = 32m - 8

Hope this helps! :)

Answer:

The first one

Step-by-step explanation:

4(8m-2)=32m-8

Answer:

-4

Step-by-step explanation:

3x-8x+4=24

-5x=24-4

-5x=20

x=-4

Answer:

Step-by-step explanation:

[tex]3x + 4 - 8x = 24 \\ [/tex]

Simplify the expression on the left side of the equation

That's

[tex]4 - 5x = 24[/tex]

Subtract 4 from both sides of the equation

[tex]4 - 4 - 5x = 24 - 4\\ - 5x = 20[/tex]

Divide both sides by - 5

[tex] \frac{ - 5x}{ - 5} = \frac{20}{ - 5} \\ [/tex]

We have the final answer as

[tex]x = - 4 \\ [/tex]

Hope this helps you

Answer:

$0.11

Step-by-step explanation:

price ($28.16) divided by amount (265) = unit rate

Answer:

20

Step-by-step explanation:

1.2x = 24

x = 20

Answer:

20

Step-by-step explanation:

1.2x = 24

x = 20

Step-by-step explanation:

Answer:0.06

Step-by-step explanation:

Answer:

0.006

Step-by-step explanation:

3/20 = 0.15 + 1/25 = 0.19 - 11/60

= 0.00666666

Answer:

The ball will not get up to 125 ft

Step-by-step explanation:

The initial velocity of the golf ball = 85 ft/s

The function for the height, h, in feet, of the golf ball is h = -16·t² + 85·t + 1/12

Where;

t = The time in seconds of flight of the golf ball

We have at maximum height, dh/dt = 0, which gives;

dh/dt = d(-16·t² + 85·t + 1/12)/dt = 0

-32·t + 85 = 0

t = 85/32

Given that d²h/dt² = d(-32·t + 85)/dt = -32 which is negative, the obtained point, t = 85/32, above is a maximum point

Substituting the value of t at the maximum into the function for the height h, to obtain the value for the maximum height, we have;

h[tex]_{(max)}[/tex] = h(85/32) = -16 × (85/32)² + 85× (85/32) + 1/12  ≈ 112.974

The maximum height reached = h[tex]_{(max)}[/tex] = 112.974 ft.

The maximum height reached ≈ 112.974 ft

Therefore, the ball will not get up to 125 ft.

Given statement solution is :- Baking bread and borrowing from his neighbor, Silas has 15/4 cups of flour remaining.

To solve this problem, we'll perform the necessary calculations step by step.

Silas starts with 5 1/4 cups of flour.

To convert the mixed number to an improper fraction, we multiply the whole number (5) by the denominator (4) and add the numerator (1). This gives us (5 × 4) + 1 = 21/4 cups of flour.

Silas uses 3 1/2 cups of flour to bake bread.

To subtract fractions, we need to have a common denominator. The denominators here are 4 and 2, so we'll convert the second fraction to have a denominator of 4.

3 1/2 is equivalent to (3 × 2) + 1 = 7/2 cups of flour.

Now we can subtract: 21/4 - 7/2.

To subtract fractions with the same denominator, we subtract the numerators and keep the denominator the same.

21/4 - 7/2 = (21 - 14) / 4 = 7/4 cups of flour remaining.

Silas borrows another 2 cups from his neighbor.

To add fractions, we need a common denominator. The denominators here are 4 and 1, so we'll convert the second fraction to have a denominator of 4.

2 is equivalent to 2/1 cups of flour.

Now we can add: 7/4 + 2/1.

To add fractions with the same denominator, we add the numerators and keep the denominator the same.

7/4 + 2/1 = (7 + 8) / 4 = 15/4 cups of flour.

Therefore, after baking bread and borrowing from his neighbor, Silas has 15/4 cups of flour remaining.

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