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Tanzania [10]
3 years ago
15

Two integers a and b have a product of -33. What is the least possible sum of a and b

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

 

The number -33 divisors are:

D(-33) = {-33, -11, -3, -1, 1, 3, 11, 33}

a × b = -33

<u>1)  -33 × 1 = -33   ⇒   Sum is:   -33 + 1 = -32</u>

2)  -11 × 3 = -33   ⇒   Sum is:   -11 + 3 = -8

3)  -3 × 11 = -33   ⇒   Sum is:   -3 + 11 = 8

4)  -1 × 33 = -33   ⇒   Sum is:   -1 + 33 = 32

<u>5)  1 × (-33) = -33   ⇒   Sum is:   1 + (-33) = 1 - 33 = -32</u>

6)  3 × (-11) = -33   ⇒   Sum is:   3 + (-11) = 3 - 11 = -8

7)  11 × (-3) = -33   ⇒   Sum is:   11 + (-3) = 11 - 3 = 8

8)  33 × (-1) = -33   ⇒   Sum is:   33 + (-1) = 33 - 1 = 32

<h2>The least possible sum of a and b is  -32</h2>

to 1)  and to 5)



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nirvana33 [79]

Answer:

your answer would be 5.8

Step-by-step explanation:

8 0
3 years ago
If 3,x,y,18 are in arithmetric progression , find the value of x and y
Ksivusya [100]
Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18

Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term

First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5

Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8

y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13

The value of x is 8, the value of y is 13
6 0
3 years ago
Can someone please help me! Big ideas 8.4 number 16
8_murik_8 [283]
<h3>Answer:   24.5 </h3>

============================================================

Explanation:

It might help to draw it out. See the diagram below.

The base is JK which is 7 units long. I'm picking this as the base because this segment is completely horizontal.

Notice how the base JK spans from x = -3 to x = 4, which we can use subtraction and absolute value to get |J-K| = |-3-4| = 7.

The height is always perpendicular to the base. If the base is JK = 7, then the height is the vertical distance from K (or J) to L. This vertical distance is also 7 units. Subtract the y coordinates and apply absolute value. The base and height aren't always the same number.

Now we can find the area of the triangle

area = base*height/2

area = 7*7/2

area = 49/2

area = 24.5 square units

3 0
3 years ago
What is the first derivative of r with respect to t (i.e., differentiate r with respect to t)? r = 5/(t2)Note: Use ^ to show exp
adelina 88 [10]

Answer:

The first derivative of r(t) = 5\cdot t^{-2} (r(t)=5*t^{-2}) with respect to t is r'(t) = -10\cdot t^{-3} (r'(t) = -10*t^{-3}).

Step-by-step explanation:

Let be r(t) = \frac{5}{t^{2}}, which can be rewritten as r(t) = 5\cdot t^{-2}. The rule of differentiation for a potential function multiplied by a constant is:

\frac{d}{dt}(c \cdot t^{n}) = n\cdot c \cdot t^{n-1}, \forall \,n\neq 0

Then,

r'(t) = (-2)\cdot 5\cdot t^{-3}

r'(t) = -10\cdot t^{-3} (r'(t) = -10*t^{-3})

The first derivative of r(t) = 5\cdot t^{-2} (r(t)=5*t^{-2}) with respect to t is r'(t) = -10\cdot t^{-3} (r'(t) = -10*t^{-3}).

5 0
3 years ago
If a girl read 3/8 of a chapter book and another girl read 3/6 of a chapter book which girl read more pages
fredd [130]

Answer:

The girl which read 3/6 of a chapter book read more pages than the other girl.

Step-by-step explanation:

We need to compare between \frac{3}{8} \ and \ \frac{3}{6}

so, the denominator of both fractions should be the same number

Factor of 6 = 1 * 2 *          * 3

Factor of 8 = 1 * 2 * 2 * 2

-------------------------------------------

The common denominator  = 1 * 2 * 2 * 2 * 3 = 24

\frac{3}{8} = \frac{3*3}{3*8} =\frac{9}{24} \\\frac{3}{6} = \frac{4*3}{4*6} =\frac{12}{24}

Then compare between \frac{9}{24} \ and \frac{12}{24}  \\

So, the fraction of the great numerator will be the great fraction

\frac{12}{24}  > \frac{9}{24}

∴ \frac{3}{6} > \frac{3}{8}

==================================================

<u>Another solution:</u>

Convert both fractions to decimal:

3/8 = 0.375

3/6 = 0.5

0.5 > 0.375

===================================================

<u>Third Solution: </u>

As the numerators are equal

The fraction of least denominator is the great fraction

So, 3/6 > 3/8

3 0
3 years ago
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