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3 years ago

The solutions to the inequality y > - 3x + 2

Mathematics

1 answer:

bonufazy [111]3 years ago

4 0

not enough information to solve it as there are two unknowns in one inequality

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Solve the following equation for x<br><br> 10=2-4(ax-3)

likoan [24]

Answer:

$\large\boxed{x=\dfrac{1}{a}}$

Step-by-step explanation:

$2-4(ax-3)=10\qquad\text{subtract 2 from both sides}\\\\-4(ax-3)=8\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4(ax-3)}{-4}=\dfrac{8}{-4}\\\\ax-3=-2\qquad\text{add 3 to both sides}\\\\ax-3+3=-2+3\\\\ax=1\qquad\text{divide both sides by}\ a\neq0\\\\x=\dfrac{1}{a}$

7 0

3 years ago

Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing s

GREYUIT [131]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

$N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43$

$\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}$

$=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976$

P-value= $CHIDIST(0.032976,1) = 0.86.$

thus, the surgical-medical patients and Medicare are dependent.

5 0

2 years ago

I don't really understand this

KonstantinChe [14]

Answer:

Step-by-step explanation:

the question says that (Patricia) is covering a table with a table cloth, the table has a diameter of 6.

Diameter is defined as the length of a straight line through the center of a circle. An example of diameter is the length of a line sliced down the center of a pie.

so the question asks how much surface is covered by the table cloth? simply it is six.

8 0

2 years ago

Lorea is designing the top of a quilt which measures 2,160 square inches. Triangles will cover 432 square inches of the quilt, a

zhenek [66]

Answer: Its 516. Hope this helps!

Step-by-step explanation:

6 0

3 years ago

A steamer going downstream traveled the distance between two ports in 3 hours. The return trip took 3 hours 40 minutes. Find the

lapo4ka [179]

Answer:

1.8 mph

Step-by-step explanation:

Speed of the steamer in still water is 18 mph.

Speed of the current = x mph.

1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.

The distance traveled downstream = 3(18 + x) miles.

2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is $3\frac{2}{3}$ hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.

The distance traveled upstream $3\dfrac{2}{3}(18-x)$ miles.

3. The distances are the same, so

$3(18+x)=3\dfrac{2}{3}(18-x)$

Solve this equation:

$3(18+x)=\dfrac{11}{3}(18-x)\\ \\9(18+x)=11(18-x)\\ \\162+9x=198-11x\\ \\9x+11x=198-162\\ \\20x=36\\ \\x=1.8\ mph$

6 0

3 years ago

The solutions to the inequality y > - 3x + 2​

The solutions to the inequality y > - 3x + 2