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2 years ago

Is (2,-1) a solution of y≥2x+5?

Mathematics

1 answer:

Hatshy [7]2 years ago

6 0

Answer:

Not a solution

Step-by-step explanation:

y ≥ 2x + 5

=> Substituting x = 2 and y = -1 in Equation,

=> -1 ≥ 2(2) + 5

=> -1 ≥ 4 + 5

=> -1 ≥ 9 [Not possible]

Therefore, (2,-1) is not a solution of y ≥ 2x + 5

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A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar

Otrada [13]

Answer:

565cm³

Step-by-step explanation:

If Kelly eats the salsa until it is 6cm high, then she ate, in height, 11cm-6cm=5cm of salsa. The volume of the salsa she ate is in the shape of a cylinder, and the formula for calculating the volume of a cylinder is πr^2h. Since we have the values for r (radius) and h (height), we can solve for the volume.

V=πr^2h

V=π(6cm)^2(5cm)

V=180πcm³

This is equal to about 565cm³.

6 0

3 years ago

What is the value of f(-4) in the piecewise function f(x)= -x-5 for -5<= x <= -2; -x^2+1 for -2<=x<=2; (x-3)^2+2 for

Alik [6]

We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

Then, we use direct substitution:
f(-4) = -(-4) - 5
f(-4) = -1

5 0

3 years ago

Read 2 more answers

1. Jemima wants to make chocolate chip walnut brownles. Chocolate chips come in a 12oz bag that costs $3. Walnuts

fomenos

Answer:

4 bags of chocolate chips and 1 bag of walnuts.

Step-by-step explanation:

Find how many ounces are in 3 pounds:

16 oz = 1 lb

16 oz × 3 = 3 lbs

48 oz = 3 lbs

Variable x = number of chocolate chips

Variable y = number of walnuts

4x + 1y = 15

Keep in mind it must equal up to 48 oz and be $15 or under.

4 bags × 12 oz = 48 oz

1 bag × 4 oz = 4 oz

48 oz + 4 oz = 52 oz > 48 oz

4 bags × $3 = $12

1 bag × $2 = $2

$12 + $2 = $14 < $15

Both requirements have been met.

7 0

2 years ago

if A and B together can do a piece of work in 10 days and B along can do it in 15 days, how many part of the work does A complet

anzhelika [568]

Answer:

1/5

Step-by-step explanation:

Well work can be defined as: $work = rate \ *\ time$

where rate=amount of work that can be done in one unit of time

let a = rate of work A does in a day

let b = rate of work B does in a day

this means that: $10a + 10b=1$ where work=1 and it just means the entire job has been completed.

Since b can do it alone in 15 days, this means that: $15b=1$

If we divide by 15 here, we get the equation: $b=\frac{1}{15}$

We can now use this definition to substitute it into the first equation we made.

$10a + 10(\frac{1}{15}) = 1$

Multiply the 10 and 1/15

$10a+\frac{2}{3}=1$

subtract 2/3 from both sides

$10a=\frac{1}{3}$

Now divide both sides by 10

$a=\frac{1}{30}$

Now multiply this by 6, since we a represents the amount of work that can be done in a day, we want to find how many parts of the work can be done by a in 6 days

$6a=\frac{6}{30}$

Now divide both the numerator and denominator by 6

$a=\frac{1}{5}$

8 0

2 years ago

When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make

castortr0y [4]

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

6 0

2 years ago