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3 years ago

Which situation can be modeled by the inequality 50−12x≥8?

Mathematics

2 answers:

Nadya [2.5K]3 years ago

7 0

4⅚ ≥ x; subtract fifty-eight from both sides, divide by -12 from both sides, and you will have your answer.

NOTE: This is where you reverse your inequality symbol [dividing or multiplying by a negative].

skad [1K]3 years ago

7 0

Answer:

B. You can buy bags of pretzels in packages of 12. You have $50 to spend, but want to have at least $8 left.

C. You owe your sister $50. You plan to pay her $12 a week until you owe her less than $8.

Step-by-step explanation:

These are the correct answers to this question.

Hope this helps!!!

Kyle.

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Help please jggvnhujff

saveliy_v [14]

Answer:

Step-by-step explanation:

8). $\left \{ {{4x+3y=1} \atop {x+y=2}} \right.$

(2) × [ - 3 ]

4x + 3y = 1 ........ (3)

- 3x - 3y = - 6 .... (4)

(3) + (4)

x = - 5

- 5 + y = 2 ⇒ y = 7

( - 5 , 7 )

9). $\left \{ {{-9x+3y=18} \atop {2x+y=-4}} \right.$

(1) ÷ [- 3]

3x - y = - 6 ......... (3)

2x + y = - 4 ........ (4)

(3) + (4)

5x = - 10 ⇒ x = - 2

2(- 2) + y = - 4 ⇒ y = 0

(- 2, 0)

10). $\left \{ {{x-2y=14} \atop {10x-6y=0}} \right.$

(2) ÷ 10

x - 0.6y = 0 ⇒ x = 0.6y -----> (1)

0.6y - 2y = 14

- 1.4y = 14

y = - 10

x - 2(- 10) = 14 ⇒ x = - 6

(- 6, - 10)

Now is your turn, you can do it!!

3 0

3 years ago

Find the vertex of the graph of f(x) = x2 + 4x - 5.

Fofino [41]

You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
$\frac{df}{dx}=2x+4$
Solve the equation:
$2x+4=0$
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
$(-2)^2+4 \cdot (-2)-5=4-8-5=-9$

You get the same answer: x=-2, y=-9

So the answer is
B. (-2, -9)

7 0

4 years ago

Which expressions are equivalent to 2 to the 11 power

STatiana [176]

$\text{Hey there!}$

$\text{Which expressions are equivalent to}\bf{ \ 2^{11}}?$

$\bf{2^{11} = 2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2}$

$\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2\times2 = 8}\\\bf{4\times4\times4\times4=16\times16=256}\\\bf{256\times8=2,048}\\\\\boxed{\boxed{\bf{Your\ answer: 2,048}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}$

6 0

3 years ago

Select ALL the true statements.

ss7ja [257]

Answer:

Step-by-step explanation:

A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.

B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8

C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.

D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.

E. Two negative signs make a positive, so 72 + 100 is positive, not negative.

8 0

2 years ago

the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.

sasho [114]

Question

the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.

Answer:

(10,-14)

Step-by-step explanation:

0 + x

--------- = 5 Multiply both sides by 2 ----> 0 + x = 10 or x = 10

2 + y

-------- = -8 Multiply both sides by 2 ----> 2 + y = -16 or y = -14

Therefore, the coordinates of point S should be at (10,-14)

4 0

3 years ago