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chubhunter [2.5K]
3 years ago
15

Quadratic graphs: y = x2 + 4x + 1 I need to work out the coordinates. Help.

Mathematics
2 answers:
Ray Of Light [21]3 years ago
4 0
If x =1,
y= 1^2 +4(1) +1
=7
x=0, y=1
Iteru [2.4K]3 years ago
3 0

Answer:

Basically what you have to do to draw the graph is creating a bunch of points that are part of the equation

to do so, you assign different values to x and find the corresponding y

for example

x=0 0^2 +4*0 +1 = 1 therefore  y = 1

x=1 1^2+4*1 +1 = 6 therefore y= 6

and so on....

x=-1 y=-2

and as many as you need

this is valid...only if I have understood your question :-)

Step-by-step explanation:

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Gabrielle drilled a hole 5/9 inch wide. She has a screw that is 5/6 inch wide. Is the hole wide enough to fit the screw? Explain
zlopas [31]

5/9 times 2 = 10/18

AND

5/6 times 3 = 15/18

15/18 is bigger SO


THE HOLE IS TO NOT BIG ENOUGH FOR THE SCREW.

4 0
3 years ago
Help please! How would I solve a 2 step equation like this? 4(x-2)=14
sattari [20]

Answer: Hi!

Okay. So this equation we will solve using something called the distributive property. We use the distributive property to multiply the terms inside the parentheses (x and -2) by the term outside and in front of the parentheses (4). First, we would multiply 4 * x, which is 4x. Then, we would multiply 4 * -2, which is -8. Out equation now looks like this:

4x - 8 = 14

Our goal is to isolate the x, so now we'll use inverse operations to remove the -8 from the equation. The inverse operation for subtraction is addition, so we would add 8 to both sides:

4x - 8 = 14

   + 8  + 8

The eights cancel out, so we're left with this equation:

4x = 22

Last step! We're almost done. All we have to do now is divide 4 on both sides; in the term 4x, 4 is being multiplied by x, so the inverse operation would be division.

4x ÷ 4 = x

22 ÷ 4 = 5.5

Our equation now looks like this:

x = 5.5

So, 5.5 is equal to x! This would be your answer!

Hope this helps!

6 0
3 years ago
Kim bakes 1/4 of the cookies that are sold at a local bake sale. 1/3 of her cookies are chocolate chip. 1/4 of Kim's chocolate c
inysia [295]

Answer:

1/48

Step-by-step explanation:

1/4 of the cookies were Kim's

1/3 of that ( 1/3 x 1/4) were chocolate chips  which is 1/12 of the total

1/4 of that ( 1/12 x 1/4) had nuts . which is 1/48 of the total

The fraction is 1/48

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
3 years ago
If i walk 4 miles per hour how long will it take to walk a mile
fiasKO [112]
Hi there! The answer is 15 minutes.

Walking 4 miles per hour means that it takes you 60 minutes to walk 4 miles. To find the time it takes you to walk 1 mile, we must divide both sides by 4.

4 miles equals 60 minutes.
1 mile equals 60 / 4 = 15 minutes.

The answer is 15 minutes.
4 0
3 years ago
(−5)3x7(yz)4 / (3)2x2y8z2
g100num [7]

Answer:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

Step-by-step explanation:

Given:

The expression to simplify is given as:

\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}

In order to simplify this, we have to use the law of indices.

1. (ab)^m=a^mb^m

So, (yz)^4=y^4z^4

Substitute this value in the above expression. This gives,

=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)

Now, we use another law of indices.

2. \frac{a^m}{a^n}=a^{m-n}

So,  \frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2

Substitute these values in the above expression. This gives,

=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}

Finally, we further simplify it using the law a^{-m}=\frac{1}{a^m}

So, y^{-4}=\frac{1}{y^4}

Therefore, the given expression is simplified as:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

5 0
3 years ago
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