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1 year ago

Solve the equation -9x+1=-x+17

Mathematics

2 answers:

Greeley [361]1 year ago

8 0

Answer: b

Step-by-step explanation:

Step2247 [10]1 year ago

5 0

Answer:

x=-2

Step-by-step explanation:

-9x+1=-x+17

Add 9x on both sides:

1=8x+17

Subtract 17 on both sides:

-16=8x

Divide both sides by 8:

-2=x

Check x=-2!

-9x+1=-x+17 with x=-2

-9(-2)+1=-(-2)+17

18+1=2+17

19=19

19=19 is a true equation so x=-2 is correct.

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Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

wolverine [178]

ANSWER

$9\: < x \leqslant0$

EXPLANATION

The given compound inequality is

$- 33 \: > - 3x - 6 \geqslant - 6$

We need to simplify this inequality so that we can obtain x standing alone between the inequality signs.

We add 6 through out the inequality.

$- 33 + 6\: > - 3x - 6 + 6 \geqslant - 6 + 6$

This simplifies to:

$- 27\: > - 3x \geqslant 0$

We now divide through by -3 and reverse the inequality sign.

$\frac{- 27}{ - 3} \: < \frac{ - 3x}{ - 3} \leqslant \frac{0}{ - 3}$

We now simplify to get:

$9\: < x \leqslant 0$

6 0

2 years ago

In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?

PilotLPTM [1.2K]

Answer:

Therefore the value of tangent of ∠ $M$ is $42$ °.

Step-by-step explanation:

Given that,

In Δ $MNO$ , ∠ $O=90$ °, $ON=65,$ $MO=72,$ and $NM=97.$

and we have to find the value of tangent of ∠ $M.$

Diagram of the given triangle is shown below:

Now,

Δ $MNO$ is a right angle triangle, so we can use all the trigonometric ratio.

$sin\alpha =\frac{Perpendicular}{Hypotenuse}$

$cos\alpha =\frac{Base}{Hypotenuse}$

$tan\alpha =\frac{sin\alpha }{cos\alpha }$ = $\frac{Perpendicular}{Base}$

tangent of ∠ $M$ = $\frac{Perpendicular}{Base}$

= $\frac{ON}{MO}$

= $\frac{65}{72}$

= $0.90278$

∴∠ $M$ = $tan^{-1} (0.90278)$

= $42.0750$ ° ≅ $42$ °

Therefore the value of tangent of ∠ $M$ is $42$ °.

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2 years ago

Using the U- Substitution u=sqrt(2x), integral form 2-8 dx/ sqrt(2x) + 1 is equivalent to ...

AleksAgata [21]

We will use u-substitute: $u= \sqrt{2x} , \frac{du}{dx}= \frac{1}{ \sqrt{2x} }= \frac{1}{u}$ Then for substitution:dx=u du. and integral becomes: $\int { \frac{u}{u+1} } \, du = \int { \frac{u+1-1}{u+1} } \, du= \int{1} \, du- \int { \frac{1}{u-1} } \, dx$ =u-ln(u+1)= $\sqrt{2x}-ln( \sqrt{2x}+1)$ . Now we will change the values of limits: $\sqrt{16}-ln( \sqrt{16}+1)-( \sqrt{4}-ln( \sqrt{4}+1))$ =4-ln(5)-2+ln(3)=2+ln(0,6)=2-0.51=1.49

8 0

2 years ago

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the c

Alchen [17]

Answer:

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?

The expression which represents the value of π is option C from the attachment that is π = 43.96/14

Step-by-step explanation:

Given:

Circumference of the circle = 43.96 feet

Diameter f the circle = 14 feet

So,

We know that :

Circumference of the circle = $2(\pi )r$ or $(\pi)d$

Re-arranging the formula:

⇒ $(\pi)d = Circumference\ (C)$

⇒ $(\pi )d =C$

⇒ $\frac{\pi\times d}{d}=\frac{C}{d}$

⇒ $\pi =\frac{C}{d}$

Plugging the numeric values:

⇒ $\pi =\frac{43.96}{14}$

So the expression for π is 43.96/ 14,and option C is the correct choice.

4 0

1 year ago

Which situation can be represented by the equation below? 15 - x = 63.75

storchak [24]

Answer:

The last one

Step-by-step explanation:

The first one would be multiplication because you want to find the total thickness, the second one is division because it gives the total value and the amount of bags, the third one is addition because it gives you a starting value and says that they work this amount more in this month, and the last one is subtraction because he first pays with a gift card, and then with cash.

Hopefully that helped

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1 year ago

Solve the equation -9x+1=-x+17​

Solve the equation -9x+1=-x+17