All categories

2 years ago

-3x+10=34 solve for x

Mathematics

2 answers:

goblinko [34]2 years ago

5 0

<h3>Answer:</h3><h3>x=−8</h3><h3 />

Step-by-step explanation:

<h3>Let's solve your equation step-by-step.</h3>

−3x+10=34

<h3>Step 1: Subtract 10 from both sides.</h3>

−3x+10−10=34−10

−3x=24

<h3>Step 2: Divide both sides by -3.</h3><h3 />

−3x/−3 = 24/−3

Morgarella [4.7K]2 years ago

5 0

Answer:

x = -8

Step-by-step explanation:

-3x + 10 = 34

-3x + 10 - 10 = 34 - 10

-3x = 24

-3x/3 = 24/-3

x = -8

Hope this helps!

You might be interested in

If f(x) = x² + 7, what is the value of f(4)? Enter the answer in the box. PLEASE HELP .

bazaltina [42]

Answer:

Step-by-step explanation:

With f(4), we plug 4 into the function.

f(4) = 4² + 7

f(4) = 16 + 7

f(4) = 23

7 0

2 years ago

2. Describe the transformation of the graph of f(x) = 6* that yields the graph of f(x) = 6*+1

avanturin [10]

Answer: Translation

The difference between the first equation and the second is that the second is moved one space higher. All of its points will be a unit higher than the other. Because of this change in height, the name of the transformation is a translation

Hope this helps comment below for more questions :)

3 0

2 years ago

Answer all for points

IceJOKER [234]

Answer:

1. If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

2. We need 100 sections.

I used metric conversion to convert km to meters.

3. 230 mL of lemonade per person

I used metric conversion to convert L to ML

Step-by-step explanation:

1. 250 mL = 1 glass

We are drinking 8 glasses

8 glasses * 250 ml/ 1 glass = 2000 mL

1 L = 1000 mL

2000 mL * 1 L/1000 mL =2 L

If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

I used metric convertsion to convert mL to liters.

Guardrails sections to be 5m long

Road length that needs a guardrail is .5 km. We need to convert this to meters 1000 m = 1 km

.5km * 1000m / 1km = 500 meters

We have 500 meters that needs guardrails.

500 meters * 1 section/ 5 meters = 100 sections

We need 100 sections.

I used metric conversion to convert km to meters.

3. 6.9 L of lemonade to serve 30 people. We want to serve ml

Convert L to mL

1L = 1000 ML

6.9 L * 1000 ml/1L = 6900 mL

We need to divide 6900 Ml by 30 people

6900mL/30 people = 230 mL of lemonade per person

I used metric conversion to convert L to ML

5 0

2 years ago

Is the product of two imaginary numbers always imaginary?

Diano4ka-milaya [45]

No. i*i = -1

2i*3i=-6

now if they meant complex numbers the answer is still no

(2+4i)(2-4i) = 4-8i+8i-16 = -12

3 0

2 years ago

For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec

telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

$4sin(x^2) = 0$

$sin(x^2) = 0$

$x^2 = n\pi$ where n = 0, 1, 2,3, 4, 5,...

$x = \sqrt(n\pi)$

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

$f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0$

$xcos(x^2) = 0$

$x = 0$ or

$cos(x^2) = 0$

$x^2 = \frac{\pi}{2} + n\pi$ where n = 0, 1, 2, 3

$x = \sqrt{\pi(n+1/2)}$

Since we are restricting x between 0 and 3 we can stop at n = 2

So our critical points are at

x = 1.25, $y = f(1.25) = 4sin(1.25^2) = 4$

x = 2.17 , $y = f(2.17) = 4sin(2.17^2) = -4$

x = 2.8, $y = f(2.8) = 4sin(2.8^2) = 4$

For the inflection point, we can take the 2nd derivative and set it to 0

$f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0$

$cos(x^2) = 2x^2sin(x^2)$

$tan(x^2) = \frac{1}{2x^2}$

We can solve this numerically to get the inflection points are at

x = 0.81, $y = f(0.81) = 4sin(0.81^2) = 2.44$

x = 1.81, $y = f(1.81) = 4sin(1.81^2) = -0.54$

x = 2.52, $y = f(2.52) = 4sin(2.52^2) = 0.27$

3 0

2 years ago