All categories

3 years ago

The production of what number and 7 is less than 49

1 answer:

4 0

Many numbers, when multiplied by $7$ , are less than $49$ . We can find an inequality for numbers $x$ that are sufficient.

Clearly, $7x < 49$ is the desired inequality. We divide by 7 to find that $x < 7$ determines working numbers.

You might be interested in

Evaluate 4x power of 3 +4x when x=3

viva [34]

$\text{Hey there!}$

$\text{Evaluate:\ }\bf{4x^3+4x}\text{ if x = 3}$

$\text{If we know what the x-value is then replace the x with 3}$

$\bf{4(3)^3+4(3)}$

$\bf{4(3)^3+12}$

$\text{4 = 4}$

$\bf{3^3=27}$

$\text{4(3) = 12}$

$\text{4(27) + 12}$

$\text{4(12)=108}$

$\text{108 + 12 = 120}$

$\boxed{\boxed{\text{Answer: 120}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

4 0

3 years ago

What is the sales tax on the chair shown if the tax rate is 5.75%?

almond37 [142]

On this one you should multiply the percentby a 100, that should give you the sales tax

7 0

3 years ago

Is AABC AXYZ? If so, identify the similarity postulate or theorem that applies

zysi [14]

Answer:

Similar-AA

Step-by-step explanation:

If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.

(p.s. This sign ~ means similar)

7 0

3 years ago

Q.1

MrMuchimi

The question regards composite functions. A composite function is a function composed of more than one function. Sorry for saying the word function so many times there, it's just what it is...

The phrase f(g(x)) means 'perform g on an input x, then perform f on the result'. You can then see that there are many options for f(x) and g(x) here, in fact an infinite number of one were to be ridiculous about it.

However a sensible choice might be g(x) = x^2, and f(x) = 2/x + 9. Checking:

g(x) = x^2
f(g(x)) = 2/(x^2) + 9

That is the first question dealt with. Next up is Q2. It is relatively simple to show that these functions are inverses. If you start with a value x, apply a function and then apply the function's inverse, you should return to the same starting value x. To take a common example, within a certain domain, sin^-1(sin(x)) = x.

f(g(x)) = (sqrt(3+x))^2 - 3 = 3 + x - 3 = x

g(f(x)) = sqrt(x^2 - 3 + 3) = sqrt(x^2) = x

A final note is that this is only true for a certain domain, that is x <= 0. This is because y = x^2 is a many-to-one function, so unrestricted it does not have an inverse. Take the example to illustrate this:

If x = -2, f(x) = (-2)^2 - 3 = 4 - 3 = 1

Then g(f(x)) =sqrt(1 + 3) = sqrt(4) = 2 (principal value).

However the question isn't testing knowledge of that.

I hope this helps you :)

4 0

3 years ago

A. 12

kondor19780726 [428]

Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work

Answer:

Option D

The height of tree is 20 feet tall

Solution:

From given question,

Shadow of tree = 30 feet

Height of tree = ?

Height of student = 6 feet

Shadow of student = 9 feet

We have to find the height of tree

We can solve the sum by proportion

$\frac{\text{height of tree}}{\text{shadow of tree}} = \frac{\text{height of student}}{\text{shadow of tree}}$

This forms a proportion and we can solve the sum by cross multiplying

$\frac{\text{height of tree}}{30} = \frac{6}{9}\\\\\text{height of tree} = 30 \times \frac{6}{9} = 30 \times \frac{2}{3}\\\\\text{ height of tree } = 10 \times 2 = 20$

Thus height of tree is 20 feet tall

5 0

3 years ago