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3 years ago

Which graph is a function, and explain how you knew whether each graph was a function or not.

Mathematics

1 answer:

romanna [79]3 years ago

7 0

C is a function. You can tell easily by doing the vertical line test. Put your finger pen pencil, etc. up to the graph vertically and see if at any point it touches more than one point at once. If it doesn't, it's a function.

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If you have the equation, y=2x+10 what’s x if y=24

jolli1 [7]

Answer: x=7

24=2x+10

24-10=14

14=2x

14/2=7

6 0

2 years ago

Felicia drew the pictures at the right to show 3/8 is greater than 3/4. What was Felicia’s mistake?

Alborosie

To show equality with fractions both fractions should be converted to show their values with the same denominator then draw a picture of those fractions.

Remember that you can only compare fractions with the same denominator as is said with other operations dealing with fractions.

8 0

3 years ago

Solve the compound inequality 7x > –35 and 3x ≤ 30.

docker41 [41]

Answer:

x>-5 x ≤10

Step-by-step explanation:

-35/7=-5

7x/7=x

3x/3=x

30/3=10

5 0

2 years ago

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

2 years ago

Three ballet dancers are positioned on stage. If Lauren is 6 meters straight behind Alexa and

HACTEHA [7]

Answer:

d = 10 m

Step-by-step explanation:

Given that,

tLauren is 6 meters straight behind Alexa and 8 meters directly left of Danielle. We need to find the distance between Alexa and Danielle. It can be calculated using Pythagoras theorem such that,

$d=\sqrt{8^2+6^2} \\\\d=10\ m$

So, the distance between Alexa and Danielle is 10 m.

6 0

2 years ago