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ioda
3 years ago
10

How do you think arithmetic sequences are similar to direct variation

Mathematics
2 answers:
katen-ka-za [31]3 years ago
8 0

Answer:

use the formula for direct variation

san4es73 [151]3 years ago
4 0

Answer:

one minute i think i got it

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Despite his name, Mr. Bean likes to eat lots of fruit. He finds that four apples and two oranges cost £1.54 and that two oranges
Iteru [2.4K]

The cost of one apple, one orange and one banana is $0.81

To solve this equation, we would write out equations on this.

  • let x represent apples
  • let y represent orange
  • z represent bananas
<h3>What is an Equation</h3>

This is a mathematical statement used to represent word problems.

4x+2y=1.54...equation(i)\\2y+4z= 1.70...equation (ii)

when we add both equations, the resultant value is

4x+4y+4z=3.24

We can further divide through by 4 to know the cost of one apple, one orange and one banana

\frac{4x+4y+4z}{4}=\frac{3.24}{4}\\ x+y+z=0.81

It would cost Mr. Bean $0.81 to purchase one apple, one orange and one banana.

Learn more on word problems here;

brainly.com/question/14294864

8 0
2 years ago
Please help me find the value of x in this picture
lys-0071 [83]

Given:

m∠D = 5x - 10

m(ar EC) = 60°

m(ar RB) = 13x + 7

To find:

The value of x.

Solution:

<em>If two secants intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow  \angle D = \frac{1}{2} (m \ ar(RB) - m \ ar(EC) )

$\Rightarrow   5x-10 = \frac{1}{2} (13x+7 - 60 )

$\Rightarrow   5x-10 = \frac{1}{2} (13x-53 )

Multiply by 2 on both sides.

$\Rightarrow 2\times (  5x-10) = 2 \times \frac{1}{2} (13x-53 )

$\Rightarrow 10x-20 =13x-53

Add 53 on both sides, we get

$\Rightarrow 10x+33 =13x

Subtract 10x on both sides, we get

$\Rightarrow 33 =3x

Divide by 3 on both sides, we get

$\Rightarrow 11=x

The value of x is 11.

7 0
3 years ago
Which is equivalent to (2-5i)(-2+5i)
Nadusha1986 [10]
= -4 + 10i + 10i -25i^2 = -4 + 20i + 25 = 21 + 20i, because i^2 = -1.
6 0
4 years ago
Read 2 more answers
3m=5(m+3)-3 How do I solve it
Mice21 [21]

Simplifying

3m = 5(m + 3) + -3

Reorder the terms:

3m = 5(3 + m) + -3

3m = (3 * 5 + m * 5) + -3

3m = (15 + 5m) + -3

Reorder the terms:

3m = 15 + -3 + 5m

Combine like terms: 15 + -3 = 12

3m = 12 + 5m

Solving

3m = 12 + 5m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-5m' to each side of the equation.

3m + -5m = 12 + 5m + -5m

Combine like terms: 3m + -5m = -2m

-2m = 12 + 5m + -5m

Combine like terms: 5m + -5m = 0

-2m = 12 + 0

-2m = 12

Divide each side by '-2'.

m = -6

Simplifying

m = -6

5 0
3 years ago
Read 2 more answers
Multiply (2x2 + 3x − 6)(x − 1)
Grace [21]
For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for: 
F-First
O-Outside
I-Inside
L-Last
(see attachment for visual) 
Let's get started. 
We are given: 
(2x^2 + 3x - 6)(x -  1)
Start by distributing the 2 first, then the 3, and then lastly the -6
<span><span><span><span><span><span><span>(<span>2x^2</span>)</span>(x)</span>+<span><span>(<span>2x^2</span>)</span><span>(−1)</span></span></span>+<span><span>(3x)</span>(x)</span></span>+<span><span>(3x)</span><span>(−1)</span></span></span>+<span><span>(−6)</span>(x)</span></span>+<span><span>(−6)</span><span>(−1)
From here multiply the terms you have gathered from FOILING: 
</span></span></span>2x^3-2x^2+3x^2-3x-6x+6

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example: 
3c and 4c are like terms because they have the same variables 
24 and 50 are like terms because they are simply numbers without any variables.  
It is best to put the like terms together in parentheses so that it is easier to combine them. 
(2x^3)+(-2x^2+3x^2)+(-3x-6x)+(6)&#10;
Combine: 
2x^3+x^2-9x+6&#10;

Final answer: 2x^3+x^2-9x+6
If you have an further questions, please do not hesitate to comment below! Have a nice day! :) 

8 0
4 years ago
Read 2 more answers
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