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Dmitry [639]
3 years ago
14

Solve the equation 5x^2-6x-7=0

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0

Answer:

x = (3-2√11)/5 ; x= (3+2√11)/5

Step-by-step explanation:

Δ/4 = (b/2)^2 - ac  where b is the term that multiplies x, a is the therm that multiplies x^2 and c is the therm without x

Δ/4 = (-3)^2 - (-7*5) = 9 + 35 = 44 = 2^2 *11

x1 = (3 - √2^2 *11)/5 = (3-2√11)/5

x2 = (3+ √2^2 *11)/5 = (3+2√11)/5

Nataly [62]3 years ago
4 0

Answer:

0.37

Step-by-step explanation:

5x^2-6x-7=0

25x-6x-7=0

19x-7=0

19x=7

0.37

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27nft3. Which equation gives the volume o
inna [77]

Answer:

The volume of the sphere is V=18\pi\ ft^{3}

Step-by-step explanation:

we know that

The volume of cylinder is equal to

V=\pi r^{2}h

we have

V=27\pi\ ft^{3}

substitute

27\pi=\pi r^{2}h

simplify

27=r^{2}h

Remember that

A sphere and a cylinder have the same radius and height

so

The height of cylinder is equal to the diameter of sphere

h=2r

substitute

27=r^{2}(2r)

13.5=r^{3} -----> equation A

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

substitute equation A in the formula of the volume of sphere

V=\frac{4}{3}\pi (13.5)

V=18\pi\ ft^{3}

6 0
3 years ago
Read 2 more answers
(1.4,1.6);m=3.1 equation of the line in point slope form​
mart [117]

Answer:

y-4=3.1(x-1)

or y-1.6=3.1(x-1.4)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to re
anyanavicka [17]

Answer:

45

Step-by-step explanation:

20 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 45

3 0
3 years ago
Read 2 more answers
What is the slope? helpppp?
EleoNora [17]

Answer:

slope: -(9/8)

y-intercept: 7

equation: y = -(9/8)x + 7

Step-by-step explanation:

Solve for the slope.

<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (8 , -2)

(x₂ , y₂) = (0 , 7)

Plug in the corresponding numbers to the corresponding variables:

<em>m </em>= (7 - (-2))/(0 - 8)

<em>m</em> = (7 + 2)/(0 - 8)

<em>m</em> = 9/-8

Your slope is -(9/8)

Solve for the y-intercept. Plug in your slope into the slope intercept form:

y = mx + b

Let:

(x , y) = (0 , 7) & m = -(9/8)

Plug in the corresponding numbers to the corresponding variables:

7 = -(9/8)(0) + b

Simplify:

7 = (-9/8 * 0) + b

7 = (0) + b

b = 7

Your y-intercept is 7.

~

7 0
3 years ago
Represent Real-world Problems If one store is selling of a bushel of apples for $9, and another store is selling of a bushel of
Firlakuza [10]
Better deal normlly means the rate that cost less
rate=cost/amount

9=cost and 3/4 bushel = amount for one store
3/4=0.75
9/0.75=12/1 aka $12/1bushel

9 =cost and 2/3 bushel =amount for another
2/3=about 0.66666
9/0.66666=13.5/1 aka $13.5/1 bushell

compare
12 dollars per bushe vs 13.5 dollar per bushel
12 is cheaper

therefor $9 For 3/4 bushel is better deal
5 0
3 years ago
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