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marusya05 [52]
2 years ago
11

Ava solved the compound inequality+7<-1 or 2x-129 for all possible values of x. Which graph represents

Mathematics
1 answer:
andre [41]2 years ago
4 0

Answer:

D

Step-by-step explanation:

To get the graph, we will need to solve each inequality differently

For the first one, we have that

x/4 < -1-7

x/4 < -8

x < -8 * 4

x < -32

For the second side;

2x-1 ≥ 9

2x ≥ 10

x ≥ 5

So we have two arrows facing different directions

On the left should be unshaded while the right hand side should be shaded

So, the correct answer here is the 4th option

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How do you simplify this fraction
TiliK225 [7]

Answer:

- 3 \frac{4}{5}  + 1 \frac{2}{5}

= -frac{19}{5} +frac{7}{5}

= frac{-19+7}{5}

= frac{-12}{5}

= -2frac{2}{5}

5 \frac{3}{5}  - 7

= -2+\frac{3}{5}

= frac{-10+3}{5}

= frac{-7}{5}

= -1\frac{2}{5}

Step-by-step explanation:

6 0
3 years ago
Find the volume of the solid below.
Semenov [28]

Answer:

Volume = V=  346.43 cm ^3

Step-by-step explanation:

15.32 x 10 = 153.2cm Area of side

We find the height of the cylinder, to enable the radius/2 for the circle side x 2

it would be the same as triangle side 6 but the exact circumference is worked out at 6.37

We start by finding the side

As a = half circumference = 20 x sin (30) =10 we x2 for full circumference, then divide by pi

10 +10 =20cm  circumference.

20/6.28 =3.1847133758 = radius

we x 2 and find the height

3.1847133758 x 2  = 6.3694267516

rounded to nearest 10th = 6.4 units exact 6.37

We find other measurements before calculating volume.

and b =  √400-√100 = √300

b= 17.32 (height for volume use) or length of right side cylinder

c= 20 hypotenuse.

Volume = πr2h

V= 3.14 * 6.37 * 17.32 =346.43

V=  346.43 cm ^3

V= 346 cm ^3 to nearest 10th

V= 346.43 cm^3

5 0
2 years ago
Type an equivalent expression to show the relationship of multiplication and addition<br> 7+7+7+7+7
nikitadnepr [17]
7 • 5



Multiplication is basically repeated addition. So to convert repeated addition to multiplication, we take the number being added (7) and multiply it be the number of addens (5). Therefore, 7+7+7+7+7 = 5 • 7
3 0
3 years ago
the graph of h is the graph of f(x)=x^2 translated 4 units left and 7 units down. Write the function H in vertex form.
adoni [48]

Answer:

f(x)=a(x - h)2 + k

Much like a linear function, k works like b in the slope-intercept formula. Like where add or subtract b would determine where the line crosses, in the linear, k determines the vertex of the parabola. If you're going to go up 2, then you need to add 2.

The h determines the movement horizontally. what you put in h determines if it moves left or right. To adjust this, you need to find the number to make the parentheses equal 0 when x equals -2 (because moving the vertex point to the left means subtraction/negatives):

x - h = 0

-2 - h = 0

-h = 2

h = -2

So the function ends up looking like:

f(x)=a(x - (-2))2 + 2

Subtracting a negative cancels the signs out to make a positive:

f(x)=a(x + 2)2 + 2

Step-by-step explanation:

6 0
2 years ago
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
mezya [45]

Answer:

A ( -2 , 9 )

Step-by-step explanation:

<u>Idea:</u> You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.

f'(x) = 3x^2 + 12x + 20

f'(x) = 8

3x^2 + 12x + 20 = 8

3x^2 + 12x + 12 = 0

3 ( x^2 + 4x + 4 ) = 0

3 ( x + 2 )^2 = 0

x + 2 = 0

x = -2

So, the desired point is:

A ( -2, f(-2) ) --> A ( -2 , 9 )

3 0
3 years ago
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