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3 years ago

1. find the greatest common factor of the numerator and denominator 17 and 51

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

5 0

Answer: for 1 it is 17 for 2 it is 6

Alex787 [66]3 years ago

4 0

Answers:

17; 6

Step-by-step explanation:

(1) 17 and 51

Factors of 17: 1, 17

Factors of 51: 1, 3, 17, 51

The highest common factor of 17 and 51 is 17.

(2) 18 and 48

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The highest common factor of 18 and 48 is 6.

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Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is (0, -1.5) which lies on the y axis(the point where the dotted line touches the y axis)

other point is (2.5, 0) and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

5 0

3 years ago

Find f^-1(x) and it’s domain.

Mrac [35]

Answer: A

Step-by-step explanation:

Letting $f(y)=x$ ,

$x=\sqrt{y}-5\\\\x+5=\sqrt{y}\\\\y=(x+5)^{2}$

Also, the domain of an inverse is the same as the range of the original function, so the range is $x \geq 0$

7 0

2 years ago

Two stores carry a simuler stereo for the same originail price of $573. One store offers a 16% discount and the second store sel

snow_tiger [21]

store number two gives a better discount .

if you go to store one and buy it for 573 with the 16% DISCOUNT, YOU GET 481.32, THEREFORE, STORE TWO IS BETTER(caps lock) also did store two have a discount?

3 0

3 years ago

1) A 1.5 kg apple pie is sitting on the kitchen counter . If it has 13.44 J of gravitational potential energy, how tall is the c

seropon [69]

So the equation you’ll use for both is
WP = mg • h
It’s delta height generally.

1.) .9 m = h

2.) 216 = WP

I would’ve sent a screenshot, but the app wouldn’t let me.

3 0

3 years ago

A ski jumper begins a run from the top of a ramp that is

pickupchik [31]

Answer:

17.5m

Step-by-step explanation:

958.2 minus 23.9= 934.3

934.3 minus 951.8= - 17.5

the negative doesnt matter so you can take that away so the answer is 17.5

3 0

3 years ago

Read 2 more answers