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viktelen [127]
2 years ago
11

3x

bsmiddle" class="latex-formula">
Mathematics
1 answer:
Licemer1 [7]2 years ago
3 0

The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

<h3>Solving quadratic equations.</h3>

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

  • 3x² + 8x - 10

Using the quadratic formula:

\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}

where:

  • a = 3
  • b = + 8
  • c = - 10

\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}

\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}

\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}

x = 0.927 or -3.594

Learn more about solving quadratic equations here:

brainly.com/question/8649555

#SPJ1

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Fittoniya [83]
First part:  1 is less than the sum of x and 3:  1 < x+3.
Second part:  the sum of x and 3 is less than 9.
Obviously 1 < 9.

Taking another look at 1<x+3, we can solve for x:  -2<x.  Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides.  Then x<6.
Draw a dashed vertical line thru x=6.

Shade the area between these two vertical lines to obtain the desired graph.
5 0
4 years ago
What is the volume of this rectangular prism, given the area of the base is 14
GREYUIT [131]

Answer:

Wow, I'm learning this in class right now lol, the answer is C, 42cm cubed.

Step-by-step explanation:

The formula for finding volume fo 3d shapes is area of base x height/length.

In this problem, they give you both of those. 14 x 3 = 42, so the answer is C.

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

5 0
3 years ago
Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?
Alekssandra [29.7K]
<span>First we have to find the sum and the difference of those polynomials- The sum is: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) + ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5 - 2 x^3y^4 - 7xy^3 - 8 x^5y + 2 x^3y^4 + xy^3 = - 5 x^5y - 6 xy^3. And the difference: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) - ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5y - 2 x^3y^4 - 7 xy^3 + 8 xy^5 - 2 x^3y^4 - xy^3 = 11 xy^5 - 4 x^3y^4 - 8xy^3. The highest exponent in both polynomials is 5. Answer: The degree of the polynomials is 5.</span>
7 0
4 years ago
Read 2 more answers
A linear revenue function is R = 12x. (Assume R is measured in dollars.) what is the slope? What is the revenue received from se
kherson [118]

Answer:

12 ; 12 dollars

Step-by-step explanation:

Data provided in the question:

Revenue function, R = 12x

R is in dollars

Now,

The slope can be found out by differentiating the above revenue function w.r.t 'x'

thus,

\frac{\textup{dR}}{\textup{dx}}= \frac{\textup{d(12x)}}{\textup{dx}}

or

slope = 12

Now, for the second case of selling one more unit i.e x = 1, the revenue can be obtained by substituting x = 1 in revenue function

therefore,

R = 12 × 1 = 12 dollars

6 0
3 years ago
Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that w
BARSIC [14]

Answer:

in your equation it says (y=32x) which 32 will mean how much he is charging for each skateboard, x will be how many he sells, and y would be how much he makes from selling them. So if he sold 2 skateboards you would do

Step-by-step explanation:

8 0
3 years ago
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