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spin [16.1K]
2 years ago
11

Factor completely 2x^2+4x-70

Mathematics
1 answer:
Fittoniya [83]2 years ago
4 0

Answer: 2(x-5)(x+7) <---- this is your answer

Step-by-step explanation:

(2x^2+4x-70)

2((x-5)(x+7))

(-1,-72)

(-1, -\frac{575}{8} )

x=-1

y=-\frac{577}{8}

Factor the polynomial completely.

Group and factor out the greatest common factor (GCF), then combine.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

So the answer is 2(x-5)(x+7)

Hope this helps out :)

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Please help!!!!this is my last part of my discussion and I am stuck on it I would really appreciate the help!!
frosja888 [35]

x + 5 = 0 - > x = -5

5 0
3 years ago
What is the sum of 6x3+8x2-2x+4 and 10x3+x2+11x+9
AleksAgata [21]

Answer:

16x³ + 9x² + 9x + 13

Step-by-step explanation:

Given

6x³ + 8x² - 2x + 4 and 10x³ + x² + 11x + 9

Sum the 2 expressions by adding like terms, that is

= (6x³ + 10x³) + (8x² + x²) + (- 2x + 11x) + (4 + 9)

= 16x³ + 9x² + 9x + 13

4 0
3 years ago
Writing g for the acceleration due to gravity, the period,T, of a pendulum of length l is given by
ivanzaharov [21]

Step-by-step explanation:

T=2\pi\sqrt{\frac{l}{g}}

T+\Delta T=2\pi\sqrt{\frac{(l+\Delta l)}{g}} =2\pi\sqrt{\frac{l}{g}}\sqrt{1+\frac{\Delta l}{l}}=2\pi\sqrt{\frac{l}{g}}(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))=T(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))

Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.

So, \Delta T=T\frac{1}{2}\frac{\Delta l}{l}

b. For an increase of 2%, that is:

\frac{\Delta l}{l}=0.02

\frac{\Delta T}{T}=\frac{1}{2}0.02=0.01=1\%

7 0
3 years ago
Read 2 more answers
A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}

Therefore, the slope (<em>m </em>) = 10/9.

Next, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis, and has the coordinates, (0, <em>b </em>). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

3 0
2 years ago
Please help me solve
Inga [223]

Answer:

s= -2

Step-by-step explanation:

3 0
3 years ago
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