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mafiozo [28]
2 years ago
10

What is/are the x-intercept(s) of this quadratic function f(x) = (x - 3)(x - 2)?

Mathematics
2 answers:
dimulka [17.4K]2 years ago
8 0

Answer:

y=x2−5x+6

Step-by-step explanation:

hoa [83]2 years ago
6 0
Use the zero product property
x - 3 = 0, and x - 2 = 0
x = 3, and x = 2
Solution: (3,0) and (2,0)
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Lucy plans to spend between $50 and $60, inclusive, on packages of beads and packages of charms. If she buys 5 packages of beads
worty [1.4K]

She can buy maximum of 5 packages while staying within her budget.

Minimum spending limit = $50.

Maximum spending limit = $60.

Cost of one package of beads = $4.95.

Number of packages of beads bought = 5.

Cost of one package of charms = $6.55.

Let the number of packages of beads bought be x.

4.956 \times 5 + x \times 6.55 \geq 50

24.78+6.55x\geq 50

6.55x\geq 25.22

x\geq 3.85

4.956 \times 5 + x \times 6.55 \leq 60

24.78+6.55x\leq 60

6.55x\leq 35.22

x\leq 5.38

So, she can buy maximum of 5 packages while staying within her budget.

Learn more about solving inequalities here:

brainly.com/question/12189350?referrer=searchResults

7 0
2 years ago
??????<br> What's this one
Soloha48 [4]
The closest distance is C. 12 feet
7 0
3 years ago
There is a bag filled with 5 blue and 6 red marbles.
Afina-wow [57]

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

\displaystyle P\left(\text{Red}\right)=\frac{6}{11}

Since the marble is replaced, the probability of getting another red is: \displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}

The probability of getting a blue marble first is:

\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}

And the probability of getting another blue is:

\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}

So, the probability of getting two of the same color is:

\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

4 0
2 years ago
Edmond buys 4/5 of a kilogram of butterscotch chips and 5 kilograms of milk chocolate chips.
Vika [28.1K]
He spent $5.80.

1 x 4/5 = 0.8
1 x 5 = 5
8 0
2 years ago
Use substitution method &amp; show your work.<br>y = x^2 + 3x - 1<br>4x + 1 = y
irina1246 [14]
4x + 1 = x^2 + 3x - 1
4x = x^2 + 3x - 2
0 = x^2 -x - 2
0 = x^2 -x + 1 - 3
0 = (x - 1)^2 - 3
3 = (x - 1)^2
sqrt 3=(x-1) and (-(x-1))
x = 1+sqrt 3 and 1-sqrt 3
sqrt means square root
7 0
3 years ago
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