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yan [13]
1 year ago
9

Graph h(x)= -4(x-3)(x-1)

Mathematics
1 answer:
ExtremeBDS [4]1 year ago
5 0

Answer:

roots (1,0) (3,) the vertical intercept is (0,-12)

Step-by-step explanation:

You might be interested in
Stan makes $685 per week and Mark makes $41,250 per year. Who makes more?
Nataliya [291]

Answer:

Mark makes more money than Stan.

Step-by-step explanation:

There are about 52 weeks in a year. If you multiply $685 by 52, it will be $36,305.

4 0
2 years ago
1-69.
timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0
3 years ago
Clay is filling 6.5 bottle of salsa, He was able to fill 7.5 bottles. How many ounce of salsa did he have? Draw an area model to
VMariaS [17]

Answer: He had 48.75 oz of salsa.

Step-by-step explanation:

I guess that Clay is filling 6.5 oz bottles of salsa.

And we know that he was able to fill 7.5 of these bottles, then if each bottle has 6.5 oz, 7.5 of them have a total mass of salsa will be equal to 7.5 times 6.5 ounces, this is:

M = 7.5*6.5 oz = 48.75 oz

This means that Clay had 48.75 ounces of Salsa

A drawn model to show this is seen below.

Each big square represents 0.5 oz, and the area black delimited area represents a total amount of 6.5 oz, we have 7 of them, then you can draw that 7 times, and count the squares, and then you will find the total ounces of salsa that Clay had, which is equivalent to the multiplication we did above.

4 0
2 years ago
Please put your answer in simplest form<br><br> 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ?
Norma-Jean [14]
Pretty sure the answer is 29/20 or 1 9/20. You get this by find the common denominator , 60, and then adding the number all together and simplifying
6 0
3 years ago
Read 2 more answers
A piece of string is 1650 cm long.
balandron [24]

Answer: The smaller piece is 750m long.

Step-by-step explanation:

let the smaller piece be x

so

150m + x + x = 1650

150 + 2x = 1650

or, 2x = 1500

so, x = 750 m

4 0
3 years ago
Read 2 more answers
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