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Karo-lina-s [1.5K]
2 years ago
7

Consider the equation of parabola \mathrm{y}=5\mathrm{x}^{2}-30\mathrm{x}+45y=5x

Mathematics
1 answer:
myrzilka [38]2 years ago
7 0

From the graph of the parabola y = 5x² - 30x + 5 shows the vertex is located at (3, -40)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

Where a, b and c are constants.

If b² - 4ac > 0, then the equation have exactly two different integer solutions.

Given the equation:

y = 5x² - 30x + 5

From the graph of the parabola y = 5x² - 30x + 5 shows the vertex is located at (3, -40)

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
Can someone plz help me on this thank you sooo much
Stells [14]

Answer:

the last answer

Step-by-step explanation:

6 0
3 years ago
Are these integers please help
dolphi86 [110]

Answer:

63/9 = 7 -> Yes

-94 -> Yes

30/6 = 5 -> Yes

-16/3 ~ -5,33 -> Nope

-29,86 -> Nope

Step-by-step explanation:

Integers are whole Numbers.

For example 1,2,3,4,5...

The numbers between numbers are rational numbers.

Fir example:

1,2 ( between 1 and 2)

3,8 (between 3 and 4)

2,6 (between 2 and 3)

5 0
3 years ago
Read 2 more answers
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
raketka [301]

Answer:

yes

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Marcus reads for 45 minutes per night. He also does chores for 17 minutes per night. In 25 days how many minutes does he spend r
Elis [28]

Answer:

1,125

Step-by-step explanation:

45 x 25 = 1,125

Marcus spends 1,125 minutes more than he does chores.

8 0
3 years ago
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