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MariettaO [177]
3 years ago
9

\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned} ​ y=2x+1 x−y=−3 ​ Is (2,5)(2,5)left parenthesis, 2, comma, 5, right

parenthesis a solution of the system?
Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Given the system of equations

\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned}

We want to determine if (2,5) is a solution of the system.

We can do this by substitution of the given point into the equations and see if it holds.

Given (x,y)=(2,5), x=2, y=5

<u>In the first equation</u>

y=2x+1

5=2(2)+1

5=5

Therefore, <u>the point (2,5) satisfies the first equation.</u>

<u>In the second equation</u>

x-y=2-5=-3

Since our result (-3) is equal to the Right Hand Side, <u>the point also satisfies the second equation.</u>

<u />

Therefore, (2,5) is a solution of the system.

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The planner needs a clearance of 9 feet under the arch. Has the planner met the minimum height?
Assoli18 [71]

Answer:

Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Step-by-step explanation:

The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

4 0
3 years ago
A sugar bowl holds 237 grams. You have a one kilogram bag of sugar. Estimate how many bowls of sugar you can fill from the bag.
NeTakaya

Answer:

The required number of bowls are 5.  

Step-by-step explanation:

Given : A sugar bowl holds 237 grams. You have a one kilogram bag of sugar.

To find : Estimate how many bowls of sugar you can fill from the bag?

Solution :

1 bowl can hold 237 gram of sugar.

We have, 1 kg of sugar or 1000 gram of sugar.                

According to question,

237 gram of sugar can hold in 1 bowl.

So, 1 gram of sugar can hold in \frac{1}{237} bowl.

1000 gram of sugar can hold in \frac{1000}{237} bowl.      

1000 gram of sugar can hold in 4.21 bowl.  

Which means, The required number of bowls are 5.

As 4 bowls have 237\times 4=948 grams of sugar.

Sugar left is 1000-948=52 grams

That 52 grams is filled into 5th bowl.                  

3 0
3 years ago
What is the value of X
Dvinal [7]
An exterior angle of a triangle is equal to the sum of the opposite interior 
angles

9x = 5x + 9 + x
9x = 6x + 9
9x - 6x = 9
3x = 9
x = 9/3
x = 3
6 0
3 years ago
Simplify the polynomial, then evaluate for x=-3 <br> -x^2+2x-2x^2-3x+4+x^2
tiny-mole [99]

Step-by-step explanation:

Let's simplify step-by-step.

−x2+2x−2x2−3x+4+x2

=−x2+2x+−2x2+−3x+4+x2

Combine Like Terms:

=−x2+2x+−2x2+−3x+4+x2

=(−x2+−2x2+x2)+(2x+−3x)+(4)

=−2x2+−x+4

Answer:

=−2x2−x+4

8 0
3 years ago
I need help on this 1+s=3
11111nata11111 [884]

Answer:

s = 2

Step-by-step explanation:

3 - 1 = 2

1 + 2 = 3

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

7 0
2 years ago
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