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Andrej [43]
3 years ago
15

Solve by Elimination: 4x - 5y = 14 -4x + y = 6

Mathematics
1 answer:
Lana71 [14]3 years ago
5 0

Answer:x = 1 , y = − 2

Step-by-step explanation:

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Complete the number sentence:
rewona [7]
D divide by 1000… you are shifting the decimal 3 places (there are 3 zeros in 1000) you are dividing because the number is getting smaller.
7 0
2 years ago
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Sally has 13 baseball cards in each week her grandpa bring 7 more sally created this equation y=7x +13 use the equation to answe
fiasKO [112]

Answer:

13 means the starting number

13 is the y-intercept (0,13)

5 0
3 years ago
Help on this please.
mote1985 [20]

Answer:

x = 11

Step-by-step explanation:

A triangle has three sides, which are its edges. Also, it has three vertices that are the corners of a triangle and where two edges meet.

The circumference is equidistant from the vertices of the triangle:

Equidistant = At equal distances.

The vertices in the picture are: A, B, C

The circumcenter is: P

So, we can apply the rule: PA = PB = PC

PA = 38

PB = 6x - 28

PC = ?

And since the picture labels PA and PB, we set up the equation:

PA = PB = PC

38 = 6x - 28

Add 28 to both sides

38 + 28 = 6x - 28 + 28

66 = 6x

Divide 6 on both sides

66/6 = 6x/6

Simplify

11 = x

Flip the equation

x = 11

4 0
2 years ago
Niki donated 4 5/8 pounds of beans to the food drive and Annie donated 3 2/3 pounds of beans to the food drive. Together, how mu
meriva

Answer:

8 7/24

Step-by-step explanation:

These are mixed fractions first you need to convert them

4 5/8= 37/8

3 2/3= 11/3

Take LCM of 3 and 8 which 24.

Multiply 37/8 with 3= 111/24

Multiply 11/3 with 8= 88/24

Now add both fractions

111/24 +88/24 =199/24

This is an improper fraction. Divide 199 by 24 to change this into mixed fraction

8 7/24

5 0
3 years ago
Read 2 more answers
HELP PLS Given a polynomial function f(x), describe the effects on the Y-intercept, regions where the graph is increasing and de
Mashcka [7]
1. Remarks:

f(x) to f(x)-3 is the whole graph of f(x), shifted 3 units down. 

f(x) to -2f(x): 

The effect of "multiplication by -" is that the whole graph is reflected with respect to the x axis, so it is turned upside down.
 
The effect of "multiplication by 2" is that every point is "stretched vertically by a factor of 2" . So for example the point (-1, -4) in the original function, becomes (-1, -8) in the second one. Or (2, 5) would become (2, 10). 

The only points that do not change (are not streched vertically) are the roots. For example if (4,0) is an x-intercept (a root) in the original function, (4,0) is still a root in the second one because  2 times 0 is still 0.


2. Consider the polynomial function of degree n: 

f(x)= a_{n} x^{n} +a_{n-1} x^{n-1}+....+a_{2} x^{2}+a_{1} x^{1}+a_{0}

a. Y-intercept

The y - intercept is the value of the polynomial function at x=0. 
So it is f(0)=a_{0}, that is, the constant term of f(x)

in f(x)-3 the y intercept is shifted 3 units down as any other point, so it becomes  a_{0}-3

In -2f(x), the y-intercept a_{0} becomes -2a_{0}

b. Regions of f decreasing or increasing

f(x)-3 is f(x) just shifted down 3 units, so they are both increasing and decreasing in the same intervals of x

-2f(x) is f(x) turned upside down, so -2f(x) is increasing in all intervals f(x) is decreasing and it is decreasing in all intervals f(x) is increasing.

c. End behaviors

By now it is clear that end behaviors of f(x) and f(x)-3 are same, and f(x) with -2f(x) are opposite

d. Evenness, oddness

If f(x) is even, then f(x)=f(-x)

Let g(x)=f(x)-3

g(x)=f(x)-3=f(-x)-3=g(-3), so in this case f(x)-3 is even

If f(x) is odd, then f(-x)=-f(x)

g(x)=f(x)-3=-f(-x)-3,

so -g(x)=f(-x)+3

g(-x)=f(-x)-3,  

so g(-x) is not equal to -g(x). Which means f(x)-3 is not odd if f(x) is


Consider f(x)=-2f(x)

If f(x) is even, f(x)=f(-x)

g(x)=-2f(x)=-2f(-x)
g(-x)=-2f(-x)

So g(x)=g(-x), which means -2f(x) is even if f(x) is even

If f(x) is odd, f(x)=-f(-x)

let g(x)=-2f(x)=-2(-f(-x))=2f(-x)

g(-x)=-2f(-x)=-2(-f(x))=2f(x)

so g(-x) is not equal to -g(x), thus -2f(x) is not odd if f(x) is odd.

The conclusions about oddness and evenness can be also derived from the discussions about the graphs.
 

6 0
3 years ago
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