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2 years ago

Which of the inequalities describes the graph below?

Mathematics

1 answer:

Serga [27]2 years ago

7 0

The square in the graph represents one unit. In the diagram, the line has coordinates (0,4) and (4,0). Use the cpordinates, find the gradient and the equation using y = mx + c. So the equation of this line is x + y = 4. Now having obtained the equation of yhe line, the shaded part is below the line, therefore the inequality is : x + y =< 4

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Kirk used 10.2 centimeters of tape to wrap 3 presents. How many presents did Kirk wrap if he used 23.8 centimeters of tape?

insens350 [35]

Answer:

Kirk wrapped 7 presents with those 23.8 cm of tape.

Step-by-step explanation:

Figure out the unit rate:

10.2 cm tape

-------------------

3 presents

-----------------------

10.2 cm tape

Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:

(3 presents)(23.8 cm tape

--------------------------------------- = 7 presents

10.2 cm tape

Kirk wrapped 7 presents with those 23.8 cm of tape.

7 0

3 years ago

Question o

taurus [48]

The equation -21t - 4 = 10 - 2t has only one solution

Solution:

Given, equation is – 21t – 4 = 10 – 2t

We have to find how many solutions does the above given equation have

Now, let us solve the given equation to find the number of solutions it has.

Then, - 21t – 4 = 10 – 2t

Taking like terms to one side of the equation we get,

- 21t + 2t = 10 + 4

$\begin{array}{l}{-19 t=14} \\\\ {19 t=-14} \\\\ {t=-\frac{14}{19}}\end{array}$

here we can see only one value of t.

Hence, the given equation has only one solution.

5 0

3 years ago

Please help me thanks

soldier1979 [14.2K]

Answer:

2:1____________________________________

8 0

2 years ago

The area of a trapezium is 210cm. The

amid [387]

Answer:

using the formula A = (a+b)/2 x ht., and substituting numbers given, the answer would be 15 cm.

Step-by-step explanation:

6 0

2 years ago

What is the range of f(x) = 3/4x -4

shusha [124]

Answer:

The range is the resulting y-values we get after substituting all the possible x-values.

For the given function : $f(x) = \frac{3}{4x} -4$

See the attached figure.

The zeros of the denominator at x = 0

The domain is: (-∞,0)∪(0,∞)

The range of the function is the domain of the inverse function of f(x)

y = 3/(4x) - 4

y + 4 = 3/(4x)

4x = 3/(y+4)

$x=\frac{3}{4(y+4)}$

The zeros of the inverse function:

4(y+4) = 0

y + 4 = 0

y = -4

∴ The range is (-∞,-4)∪(-4,∞)

So, the answer is {y | y > –4} ∪ {y | y < – 4}

=========================================

Note: If the given function is : $f(x) = \frac{3}{4} x-4$

It will be first degree polynomial function.

Both of the domain and the range = all real numbers R

4 0

3 years ago