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2 years ago

23 - C<6 I cannot find the answer can someone help me?

Mathematics

1 answer:

Blababa [14]2 years ago

5 0

Answer:

C > 17

Step-by-step explanation:

23 - C < 6

-23 -23

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

-C < -17

multiply both sides by -1

(-c) (-1) > (-17) (-1)

C > 17

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What two numbers add up to 6 and multiply to 12?

GuDViN [60]

Erm

x+y=6
xy=12

x+y=6
y=6-x
sub back

xy=12
x(6-x)=12
6x-x^2=12
x^2-6x=-12
x^2-6x+12=0
quadratic formula
for
ax²+bx+c=0
$x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$

for
x²-6x+12=0
a=1
b=-6
c=12
and remember that √-1=i

$x= \frac{-(-6)+/- \sqrt{(-6)^2-4(1)(12)} }{2(1)}$
$x= \frac{6+/- \sqrt{36-48} }{2}$
$x= \frac{6+/- \sqrt{-12} }{2}$
$x= \frac{6+/- (\sqrt{-1})(\sqrt{12}) }{2}$
$x= \frac{6+/- (i)(2\sqrt{3}) }{2}$
$x= \frac{6+/- 2i\sqrt{3} }{2}$
x=3+/-i√3

the numbers are 3+i√3 and 3-i√3
no real numbers tho

7 0

3 years ago

A store is selling a mixture of apple granola and blueberry granola for $6.99 per pound. Blueberry granola costs $8.99 per pound

Alik [6]

Answer:the number of pounds of blueberry granola that she should put in the mixture is 10 pounds.

the number of pounds of apple granola that she should put in the mixture is 20 pounds

Step-by-step explanation:

Let x represent the number of pounds of blueberry granola that she should put in the mixture.

Let y represent the number of pounds of apple granola that she should put in the mixture.

She wants to make a 30 pounds mixture. This means that

x + y = 30

A store is selling a mixture of apple granola and blueberry granola for $6.99 per pound. This means that the cost of the 30 pound mixture would be

30 × 6.99 = $209.7

Blueberry granola costs $8.99 per pound and apple granola costs $5.99. This means that

8.99x + 5.99y = 209.7 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

8.99(30 - y) + 5.99y = 209.7

269.7 - 8.99y + 5.99y = 209.7

- 8.99y + 5.99y = 209.7 - 269.7

- 3y = - 60

y = - 60/ -3

y = 20

Substituting y = 20 into x = 30 - y, it becomes

x = 30 - 20 = 10 pounds

7 0

3 years ago

Find the 14th term of the geometric sequence 5,-10,20

tamaranim1 [39]

In this specific case, the initial term (a) is 5 and the common ratio (r) is -2

Henceforth, after determining what a and r are, we use the formula for the nth term. Which is:

$a_n = a \times r^{n-1}$

Therefore, the 14th term is :

$\implies 5 \times { (- 2)}^{14 - 1} \\\implies 5 \times {( - 2)}^{13} \\ =\boxed { -40,960}$

Hope it helps!

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svlad2 [7]

Answer:

The two triangles are related by Side-Side-Side (SSS), so the triangles can be proven congruent.

Step-by-step explanation:

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This leaves you with either the HL (Hypotenuse-Leg) Theorem or SSS (Side-Side-Side) Theorem. We could claim that the triangles can be proven congruent by HL, however, we aren't exactly sure as to whether or not the triangles have a right angle. There is no indicator, and in this case, we cannot assume so.

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Marysya12 [62]

The distance is 2.23606 (2.24 rounded)

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