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2 years ago

— 3х + 7 < 19 ? Help plz

Mathematics

2 answers:

Liono4ka [1.6K]2 years ago

8 0

Just like any of your two-step equations, in this inequality,

start by isolating the x term which in this case is -3x by

subtracting 7 from both sides.

This gives us -3x < 12.

Solving from here, we divide both sides by -3.

However, when solving inequalities, you need to watch out.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

Please give this idea your full attention. Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when dividing both sides of an inequality by a negative.

So we end up with <em>x > -4</em>.

Maksim231197 [3]2 years ago

6 0

Answer:

x > -4

Step-by-step explanation:

— 3х + 7 < 19

Subtract 7 from each side

— 3х + 7-7 < 19-7

-3x < 12

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 12/-3

x > -4

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Answer:

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Step-by-step explanation:

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2 years ago

26,) If y varies inversely as x, and y = 5 as x = 6, find y for the x-value of 10.

melisa1 [442]

Answer:

Step-by-step explanation:

the initial statement is

y ∝ 1 /x

to convert to an equation multiply by k the constant

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y = k × 1 /x = k /x

to find k use the given condition

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2 years ago

Read 2 more answers

On the blueprint of a house, 36 millimeters represents 7 meters. The length of the living room is 27 millimeters on the blueprin

S_A_V [24]

36/27=1.3
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7 0

3 years ago

Help please i am stuck on what to do

nikklg [1K]

Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

green = 3* yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

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there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

4 are yellow (10% of 40 or 40* 0.1)

12 are green (30% of 40 or 40*0.3)

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6 0

2 years ago

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

7 0

3 years ago