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ehidna [41]
3 years ago
10

Which function describes the arithmetic sequence shown? 3,1,-1,-3-5.-7...

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

Answer:

x - 2 = y OR f(x) = x - 2

remember: f(x) = y

Step-by-step explanation:

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Lucy was running a 10 mile race and the graph represents her running pace for the race. If the x-axis represents miles ran and t
Ostrovityanka [42]

Answer:

C

Step-by-step explanation:

The function multiplies by 8 so 6 would be 48 and 10 would be 80.

Have a great day!

4 0
3 years ago
Type the expression that results from the following series of steps:
Sati [7]

Answer:

Step-by-step explanation:

Given

x times by 9

Required

Write out an algebraic expression for the above.

Follow the instructions below to get the algebraic expression of the above.

1. First, write out the variable: x

2. Then write out an expression for "times by 9". This means multiply x by 9.

So, this gives x * 9.

x * 9 = 9x.

Hence, the expression for the above question is 9x

5 0
3 years ago
For what values of $x$ is $$\frac{x^2 + x + 3}{2x^2 + x - 6} \ge 0?$$ note: be thorough and explain why all points in your answe
Rus_ich [418]

To solve the inequality \frac{x^2+x+3}{2x^2+x-6}\ge \:0

\mathrm{Factor\:the\:left\:hand\:side\:}\frac{x^2+x+3}{2x^2+x-6}:

The numerator x^2+x+3 is not factorizable.

so factor the denominator 2x^2+x-6:

2x^2+x-6=\left(2x^2-3x\right)+\left(4x-6\right)=x\left(2x-3\right)+2\left(2x-3\right)\\ \mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-3x\mathrm{:\quad }x\left(2x-3\right)\\ \mathrm{Factor\:out\:}2\mathrm{\:from\:}4x-6\mathrm{:\quad }2\left(2x-3\right)\\

Now take \mathrm{Factor\:out\:common\:term\:}\left(2x-3\right)

Then we get factor of the denominator as \left(2x-3\right)\left(x+2\right)

Thus \frac{x^2+x+3}{2x^2+x-6}=\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}

Now \mathrm{Compute\:the\:signs\:of\:the\:factors\:of\:}\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}\\

Signs of x^2+x+3>0

\mathrm{Choosing\:ranges\:that\:satisfy\:the\:required\:condition:}\:\ge \:\:0

x\frac{3}{2} is the required solution of the given inequality.

5 0
3 years ago
Read 2 more answers
Y =3x+2 is the equation of a straight line graph.where does it cross the y-axis
neonofarm [45]
Cross the y-axis in x=0
therfore:
if x=0; y=3*0+2=2; ⇒ P(0,2)

solution: P(0,2).
7 0
3 years ago
Calculate the mass of a liquid with a density of .7892 g/mL and a volume of 121.0 mL.
nataly862011 [7]

Answer:

95.49 g

Step-by-step explanation:

D = m/v

Looking for mass so isolate m to form equation format

D × V = m

Plug in numbers

.7892g/mL × 121.0 mL = 95.4932 g

Only g and not g/mL because the mL cancels each other out. It's easier to see if you rewrite it on paper.

Round to sig figs

Both original numbers hold 4 sig figs

95.49 g

5 0
4 years ago
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