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GenaCL600 [577]
3 years ago
6

Is the graph of 6x2 - 2y = 7 a line? Explain.

Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

No, it is a parabola. (assuming that you meant to write 6x² - 2y = 7).

Step-by-step explanation:

If there is a square in the x or y, this gives it away that it cannot be a straight line.

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Answer Choices: a) slope=-3 b)slope=-1/3 c)1/3
Leto [7]

Answer:

A) -3

Step-by-step explanation:

If you move down three times and once to the right, you get the next point.

Slope = rise/run

It rises -3 units and run 1. So -3/1 which can be simplified to just -3

<em>Hope this helped and plz mark as brainliest!</em>

<em></em>

<em>Luna G.</em>

8 0
3 years ago
What is the equation of a circle with center (-3,-5) and radius 4?
kobusy [5.1K]

Answer:   D) (x + 3)² + (y + 5)²  = 16

<u>Step-by-step explanation:</u>

The equation of a circle is: (x - h)² + (y - k)² = r²    

where (h, k) = center   and    r = radius

Given: (h, k) = (-3, -5)  r = 4

Equation: (x - (-3))² + (y - (-5))² = 4²

                 (x + 3)²  +  (y + 5)²  = 16

8 0
3 years ago
Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $490. The store has a sale
o-na [289]

Answer:

if you mean 6/7ths, then the answer is 420$

Step-by-step explanation:

6 0
2 years ago
The line tangent to the graph of g(x) = x^{3}-4x+1 at the point (2, 1) is given by the formula
Usimov [2.4K]

well, about A and D, I just plugged the values on the slope formula of

\bf \begin{array}{llll} g(x)=x^3-4x+1\\ L(x) = 8(x-2)+1 \end{array} \qquad \begin{cases} x_1=1.9\\ x_2=2.1 \end{cases}\implies \cfrac{f(b)-f(a)}{b-a}

for A the values are 8.01 and 8.0, so indeed those "slopes" are close. \textit{\huge \checkmark}

for D the values are -2.25 and 8.0, so no dice on that one.

for B, let's check the y-intercept for g(x), by setting x = 0, we end up g(0) = 0³-4(0)+1, which gives us g(0) = 1.

checking L(x) y-intercept, well, L(x) is in slope-intercept form, thus the +1 sticking out on the far right is the y-intercept, so, dice. \textit{\huge \checkmark}

for C, well, the slope if L(x) is 8, since it's in slope-intercept form, the derivative of g(x) is g'(x) = 3x² - 4, and thus g'(0) = -4, so no dice.

for E, do they intercept at (2,1)?  well, come on now, L(x) is a tangent line to g(x), so that's a must for a tangent. \textit{\huge \checkmark}

for F, we know the slope of the line L(x) is 8, is g'(2) = 8?  let's check

recall that g'(x) = 3x² - 4, so g'(2) = 3(2)² - 4, meaning g'(2) = 8, so, dice. \textit{\huge \checkmark}

6 0
3 years ago
Solve for x. Show each step of the solution.<br> Show each step when solving for x.
andrew-mc [135]

-3x(4-6x) < x+5

-12x+18x² < x+5

-13x+18x² < 5

18x²-13x-5<0.

4 0
3 years ago
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