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pishuonlain [190]
3 years ago
12

The frist three terms of a geometric sequence are as follows 80,40,20

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

80,40,20,10 its dividing by 2

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A science teacher has a supply of 50% sugar solution and a supply of 80% sugar solution. How much of each solution should the te
mash [69]
How much of each solution should the teacher mix together to get 105 ML of 60% sugar solution for an experiment?

1. Look at how 60% is closer to the solution of lower concentration (50%). You can deduce that you will be mixing a higher volume of the 50% solution.

2. All 4 answers add up to 105ml.

3. The intuitive answer is the first option:
70 ML of the 50% solution and 35 ML of the 80% solution

4. Let's check whether point 3 is true.
70ml/105ml X 0.5 + 35ml/105ml X 0.8 = (35 + 28)/105= 63/105= 60% / 105 ml = 105ml of 60% sugar solution
3 0
3 years ago
Can somebody help me with this?
icang [17]

We are given polynomial: 5x^3+8x^2-7x-6.

We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and  why the binomial (x + 1) IS NOT a factor of this polynomial expression.

Let us set first factor equal to 0 and solve for x.

x+2=0

x=-2.

Plugging x=-2 in given polynomial, we get

5(-2)^3+8(-2)^2-7(-2)-6 = 5(-8) +8(4)+14-6

= -40 +32+14-6

=0

<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>

Now, let us check second factor x+1=0

x=-1.

Plugging x=-1 in given polynomial, we get

5(-1)^3+8(-1)^2-7(-1)-6 = 5(-1) +8(1)+7-6

=-5+8+7-6.

= -4.

<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>

7 0
2 years ago
Question: Find the vertex.<br><br> Equation: y = -x^2-6x+15<br><br> ([Put Number],[Put Number])
Artyom0805 [142]

Answer:

y = (x - 3)² + 6

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = x² - 6x + 15

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 15

y = (x - 3)² - 9 + 15

y = (x - 3)² + 6 ← in vertex form

6 0
2 years ago
PLEASE HELP ME!!!!!!
Kisachek [45]
The answer to this is 9
hoped this helped
7 0
3 years ago
Simplify the answer has to be a positive exponent Please help!
borishaifa [10]

5^4 /5

Use the exponent rule x^a/x^b = x^a-b

5^4/5 = 5^4-1 = 5^3

Answer as a positive exponent is 5^3

3 0
3 years ago
Read 2 more answers
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