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3 years ago

A graph of f(x)=10x^2-11x-6 is shown on the coordinate grid.

Mathematics

2 answers:

Montano1993 [528]3 years ago

6 0

Answer:

-2/5 and 3/2

Step-by-step explanation:

f(x)=10x²-11x-6

0=10x²-11x-6

(5x+2)(2x-3)=0

5x+2=0, 2x-3=0

5x=-2, 2x=3

x=-2/5, x=3/2

Digiron [165]3 years ago

4 0

Answer: -2/5 and 3/2

Step-by-step explanation:

0 = 10x² - 11x - 6

quadratic formula

x = (11 ±√((-11)² - 4(10)(-6))) / (2(10))

x = (11 ± 19) / 20

x = 30 / 20 = 3/2

x = -8/20 = -2/5

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HELP

Brut [27]

Answer:

1) m<1 = 25

2) m<4 = 155

3) m< 5 = 25

4) m<7 = 25

5) 110

6) 30.5

7) 74

Step-by-step explanation:

x + 155 = 180

x = 25

<4 = 155 because of vertical angle thm

<5 = 25 (congruent to <1) b/c of corresponding angles thm

<7 = <5 (25) because of vertical angles thm

5x + 15 = 8x - 42

-3x = -57

x = 19

5(x) + 15

5(19) + 15 = 110

180 - 110 = 70

3x + x + 4 + 70 = 180

4x + 74 = 180

4x = 106

x = 26.5

x+ 4 = 30.5

180 - 115 = 65

x + 4 + 2x + 65 = 180

3x + 69 = 180

3x = 111

x = 37

2x = 74

4 0

3 years ago

All the edges of a regular square pyramid have length 8. find the Volume of the pyramid, Lateral area of the pyramid and the Tot

RUDIKE [14]

Answer:

V = 120.6796

LA = 110.8513

SA = 174.8513

Step-by-step explanation:

Let me know if you need more of an explanation for any of these

First we need the height, one way to find that out is to use the diagonal of the and one of the diagonal edges of the pyramid. Specifically we will need half of the diagonal of the square. We will call the diagonal of the square d.

$8^2+8^2=d^2\\d=\sqrt{64+64} \\d=\sqrt{128}$

Gonna leave it like that for ease of writing. So then half of the diagonal is $\frac{\sqrt{128}}{2}$

The height, h, will be $(\frac{d}{2})^2+h^2 = 8^2$ . Plugging everything in gets us $h=\sqrt{32}$

last, we need to find slant height, which we will call s.

$(\frac{8}{2})^2+h^2 = s^2\\s=\sqrt{48}$

s is also the height of the triangles for purposes of finding area. Now for the volume and areas.

Volume is area of the base times height divided by 3, so $V=8^2\frac{\sqrt{32} }{3} = \frac{64\sqrt{48} }{3} = 120.6796$

Lateral area is the sum of the four areas of the triangles, and each of those are $\frac{8*h}{2}$ so the whole lateral area is 4 times that. So we get $4\frac{8\sqrt{32} }{2} =110.8513$

Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513

6 0

4 years ago

Felipe's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A costs Felipe $4.55 per lb. Type B costs $5.7

RUDIKE [14]

Answer:

Type A coffee in lbs = 97 lbs

Step-by-step explanation:

Type a = 4.55/lbs = x

type b = 5.70/lbs = y

Total in lbs = 147lbs

total in sales = 726.50

First,

x + y = 147 lbs -------------------equ 1

4.55x + 5.70y = lbs ------------ equ 2

Multiply equ 1 by 4.55

4.55x + 4.55y = 668.85 -------------equ 3

4.55x + 5.70y = 726.50 ------------equ 4

Subtracting equ 3 from equ 4

1.15y = 57.65

y = 50

Substituting y = 50 into equ 1

x + 50 = 147

x = 97

7 0

3 years ago

Item 2

olasank [31]

Not sure what simp lies firm is

6 0

3 years ago

Starting salaries of 90 college graduates who have taken a statistics course have a mean of $43,993 and a standard deviation of

Rufina [12.5K]

Answer: attached below

Step-by-step explanation:

5 0

4 years ago