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dolphi86 [110]
2 years ago
11

Zoe planted a 4-foot oak tree in her backyard. The oak tree is expected to grow by 22 inches each year. If the oak tree grows at

its expected rate, which of the following functions represents the height, H(x), in inches, of the oak tree after x years?
A.
H(x) = 22x + 48

B.
H(x) = 22x + 4

C.
H(x) = 48x + 22

D.
H(x) = 4x + 22
Mathematics
2 answers:
zalisa [80]2 years ago
6 0
The answer is A because it will grow 22inches (H) each year (x) and it has already started with 48 inches
LenaWriter [7]2 years ago
4 0
H(x)=22x+4 would be the answer because your starting number is 4 and it increase by 22 each year x
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Identify the values that should be written to complete the X diagram.
cestrela7 [59]

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

3 0
3 years ago
12-inch-tall boxes are being stacked next to 8-inch-tall boxes.
pantera1 [17]

Answer:

First, we have to find the LCM of 12 and 8 which would be 24. Since we have to multiply 8 by 3, and 12 by 2, then the shortest height would be two 12-inch boxes, and three 8-inch boxes.

Step-by-step explanation:

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4 0
2 years ago
Workout the 11th triangular number​
Arturiano [62]
The 11th triangular number = 66
4 0
2 years ago
For a large batch of cupcakes the robots use 1/5 of gallon of milk. they pour it into 2 separate measuring cups each the same si
vodomira [7]
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6 0
3 years ago
PLEASE SOLVE THeSE QUESTIONS
g100num [7]

Heya!

Question #15:

To find the perimeter of the object, you can count the amount of squares that are on the outside of the object. After you country all around the object, the perimeters is 22 units (Option D)

Question #16:

Since we know the total perimeter, we can divide by the amount of sides a hexagon has because all of the sides are the same length. A hexagon has 6 sides. 42 / 6 = 7 inches (Option A)

Question #17:

To calculate the perimeter of the rectangle, you can add all the sides together. First, find common denominators.

6 1/2 = 6 2/4 and 3 1/4

Now, add all the sides together.

6 2/4 + 6 2/4 + 3 1/4 + 3 1/4 = 19 1/2 cm (Option B)

Question #18:

We can find the perimeter of the semi circle and square separately. Only take the perimeter of the square using 3 sides since the fourth sides is in the semi circle.

8 + 8 + 8 = 24 inches

Circumference of a semi circle formula: C = πd

C = (3.14)(8)

C = 25.12

Now, add both perimeters together.

24 + 25.12 = 49.12 inches (Option D)

Best of Luck!

3 0
2 years ago
Read 2 more answers
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