Ask question

Ask question

All categories

4 years ago

9

Which situation can be modeled by the inequality 60−15≥7 60 - 15 x ≥ 7 ?

1 answer:

shusha [124]4 years ago

7 0

Answer:

The answer is number 4 "You have $60 to spend on hats at the mall, but you need to save at least $7 for lunch. You plan to spend the rest on hats that cost $15 each including tax"

60-$15x refers to "you have $60 to spend on hats" and "to spend the rest on hats" while <7 for ''save at least $7 for lunch"

Step-by-step explanation:

You might be interested in

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

3 years ago

Pls, help :c I don't understand this

lora16 [44]

Answer:

quadratic i think

Step-by-step explanation:

3 0

3 years ago

there is as much loss by selling a computer for rupees 14440 that much is the profit by selling it for rupees 15560 at what pric

-BARSIC- [3]

Answer:

15560×2- 31120 will be the answer to make a profit of 10%

7 0

3 years ago

Read 2 more answers

What angle is included by AC and BC?<br> Choice<br> B<br> A<br> C

loris [4]

Answer:

C

Step-by-step explanation:

C is the common letter in both angles

3 0

3 years ago

Read 2 more answers

Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 4e2x - 3 - 5 = 0

Deffense [45]

Answer:

Value of x will be 0.1515

Step-by-step explanation:

We have given the equation $4e^{2x}-3-5=0$

We have top fond the value of x using exponent and logarithmic property

So $4e^{2x}-3-5=0$

$4e^{2x}-8=0$

$4e^{2x}=8$

$e^{2x}=2$

Taking log both side

$lne^{2x}=ln2$

$2x=0.3010$

x = 0.1515

4 0

3 years ago