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Furkat [3]
3 years ago
7

Solve the following inequality: 55 – 5q > 4(7–9).

Mathematics
1 answer:
Savatey [412]3 years ago
8 0

Step-by-step explanation:

55 – 5q > 4(7–9)

4(-2)

55- 5q > -8

-5q > -63

q=12.6

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6 apples 4 bananas 3 carrots cost 2.93$ 4 apples 4 bananas and 2 carrots cost 2.22$ 8 carrots cost 0.88$ how much is each item
GarryVolchara [31]

Answer:

Step-by-step explanation:

carrot = 0.11 $ .ie 0.88/8

3 0
2 years ago
Scientists determined that Antarcticas average winter temperatures was..
alexira [117]

Answer:-34.44 degrees Celsius

Step-by-step explanation:Scientists determined that Antarctica's average winter temperature was -34.44 degrees Celsius. The difference between this temperature and Antarctica's highest recorded temperature was 49.44 degrees.

7 0
3 years ago
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

Using synth. div. to check whether or not 7/2 is a root:

         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

7 0
3 years ago
Read 2 more answers
Please help ASAP thank you!!!!
mart [117]

Answer:

41. f⁻¹(x) = -9x + 4

43. m⁻¹(x) = ∛(x-2)/4  

Step-by-step explanation:

41. y = (4-x)/9

swap x and y: x = (4-y)/9

solve y: 9x = 4-y

             y = -9x + 4

45. y = 4x³+2

     x = 4y³+2

     4y³ = x-2

     y³ = (x-2)/4

     y = ∛(x-2)/4

Let you do 42 and 46 by yourself

5 0
3 years ago
The diagram shows a right-angled triangle.
Otrada [13]

Answer:

h ≈ 9.9 cm

Step-by-step explanation:

By applying tangent rule for the given angle in the given right triangle,

tan(51°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(51°) = \frac{h}{8}

h = 8 × tan(51°)

h = 9.879

h ≈ 9.9 cm

Therefore, measure of side 'h' is 9.9 cm.

3 0
3 years ago
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