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uranmaximum [27]
4 years ago
8

Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cool

er alone without the tax?
Mathematics
1 answer:
SpyIntel [72]4 years ago
7 0
7.95 - 6% = 7.47 he paid .48 cents of tax
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Use the Quadratic formula to find all real zeros of the 2nd degree polynomial
schepotkina [342]

Answer:

  x ∈ {-5, -1}

Step-by-step explanation:

Here's the solution using the quadratic formula:

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-24\pm\sqrt{24^2-4\cdot 4\cdot 20}}{2\cdot 4}\\\\=\dfrac{-24\pm\sqrt{576-320}}{8}=\dfrac{-24\pm\sqrt{256}}{8}\\\\=\dfrac{-24\pm 16}{8}=-3\pm 2=\{-5,-1\}

The real zeros are -5 and -1.

_____

There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.

Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.

4 0
3 years ago
Kira runs 4 miles in 30 minutes. at the same rate, how many miles would she run in 48 minutes?
NNADVOKAT [17]

Answer:

13

Step-by-step explanation:

4 0
3 years ago
16+1008=<br><br> 56+20<br><br> please help me
kicyunya [14]
16+1008 = 1024

56+20=76
7 0
2 years ago
Read 2 more answers
The side lengths of a triangle are 5, 10, and 13. Is this a right triangle?
Zarrin [17]

Answer:

Step-by-step explanation:

5²+10²=25+100=125

13²=169

so 5²+10²≠13²

so it is not a right angled triangle.

5 0
3 years ago
Read 2 more answers
F(x) = 4x^3+...+ 9<br>list all possible rational zeroes of the function​
Maru [420]

The Rational Root Theorem says any rational zeros of f must be a fraction with a factor of the constant (9 here) in the numerator and a factor of the leading coefficient (4 here) in the denominator.   We have to include negative factors.

Factors of 9:  -9, -3, -1, 1, 3, 9

Factors of 4: 1, 2, 4

We only have to consider negative numbers for the numerator to get all the possible values.

We just make the list, going through all the numerators one denominator at a time.

Possible rational zeros, i.e. possible rational values for x such that f(x)=0 are

Answer: -9, -3, -1, 1, 3, 9,   -9/2, -3/2, -1/2, 1/2, 3/2, 9/2,   -9/4, -3/4, -1/4, 1/4, 3/4, 9/4

7 0
4 years ago
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