in the answer to the question

Answer:

let the number be x

5(x+27)>6(x+26)

5x+135>6x+156

5x-6x>135-156

-x>-21

×<21

(21,+00)

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

[tex]y +1= x(x -4) -4(x - 4)[/tex]

Factor out x - 4

[tex]y +1= (x -4)(x - 4)[/tex]

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

A: FG = ½GC

Step-by-step explanation:

Since AD, BC and CD are medians concurrent at G, it means G is the centroid.

Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.

Also,that the median touches the side of the triangle at their midpoints.

Thus,by inspection, we can say that;

GD = ⅓AD

GC/FG = 2/1

Thus, GC = 2FG and FG = ½GC

BG = ⅔BE

Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.

Answer:

Please read explanations

Step-by-step explanation:

By direct calculations, we know that the nearest perfect square to 29 is 25

The next is 36;

Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers

So, we can conclude that the square root is between 5 and 6

For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4

so, we have the dot at the next 4 small lines after the number 5

Answer:

x=15, y=8

15 hats and 8 scarves

Step-by-step explanation:

hats=x

scarves=y

5x+3y=99

3x+5y=85

Answer:

Each triangle has angles and all of those angles add up to 180 degrees total. since both of those angles at the bottom are equal then their angles would each be 70.

Answer:

70

Step-by-step explanation:

180°-40°=140°

140°/2

=70

Answer: 46

Step-by-step explanation:

4(9)+10

36+10

46

Answer:

46

Step-by-step explanation:

4y + 10

4(9) + 10

36 + 10

46

Answer:

There are 5 shifts per day

Step-by-step explanation:

7 1/2 is equal to 7.5 and 1 1/12 is equal to 1.5

7.5/1.5= 5

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Answer:46%

Step-by-step explanation:

Answer:

23/50 or 46%

Step-by-step explanation:

I just added red and purple out of the total(red+purple/total=11+12/50=23/50)

then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)

Step-by-step explanation:

I don't know

if this is what. You were trying to look for

Answer:

40

4

Step-by-step explanation:

a.) because the sides are the same their angles must be too

let x be the angle

100+x+x=180

x=40

b.) because the angles are all the same their sides must be too

4

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

[tex]\frac{Numerator}{Denominator}[/tex]

Answer:

The numerator is 1.

Step-by-step explanation:

The numerator is the number above the fraction bar; the denominator is below.

[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]

Answer:

Factor 3x2c2+2xc2−1c2

3c2x2+2c2x−c2

=c2(3x−1)(x+1)

Answer:

c2(3x−1)(x+1)

Answer:

8.60

Step-by-step explanation:

the diagram is optically misleading.

how can the 5 side be longer than the 7 side ?

but ignore that.

the important thing is that this is a triangle with a 90 degree angle.

so, we use Pythagoras' formula : a^2 + b^2 = c^2

we know a and b as 7 and 5.

so, the equation is 7^2 + 5^2 = c^2

=> 49 + 25 = c^2

=> 74 = c^2

=> the missing side length c is

[tex] \sqrt{74} = 8.60[/tex]

Answer:

Rectangle area:

Given:

Find w:

Perimeter is the sum of side lengths:

P = 2 1/4 + 5 2/5 + 5 17/20 =

     2 + 5 + 5 + 1/4 + 2/5 + 17/20 =

     12 + 5/20 + 8/20 + 17/20 =

     12 + 30/20 =

     12 + 1.5 =

     13.5 ft

Total cost:

Answer:

-8

Step-by-step explanation:

y2 - y1 / x2 - x1

-15 - 1 / 1 - (-1)

= -16 / 2

= -8

Answer:

a. 7

b. 6

c. 5.2

d. 7

Step-by-step explanation:

a: The mode is the number that occurs the most. 7 occurs the most in the set.

B. I rearrange d the numbers in numerical order and then found the middle (where both sides surrounding the number are the same amount of numbers. This was 5 and 7 so to find the mean I added 5+7 and divided it by two to get the in between, 6!

c. I added all of the values and then divided them by the amount of total values in the data set.

so I did 1 + 2 +3+4+5+7+7+7+8+8 = 52

52/10 = 5.2

d. range is the greatest value by the least value. So I did 8 - 1 to get 7!

Answer:

a = 32.28°

Step-by-step explanation:

In the given right triangle,

Opposite side = 12

Adjacent side = 19

By applying tangent rule in the given triangle,

tan(a°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(a°) = [tex]\frac{12}{19}[/tex]

a = [tex]\text{tan}^{-1}(\frac{12}{19})[/tex]

a = 32.28°

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

Answer:

Volume of Cylinder X = 712 cm³

Step-by-step explanation:

Given:

Volume of Cylinder Y = 89 cm³

Radius of cylinder Y = 2 cm

Radius of cylinder X = 4 cm

Find:

Volume of Cylinder X

Computation:

We know that, Cylinder X and Cylinder Y are similar

So,

Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³

Volume of Cylinder X / 89 = [4/2]³

Volume of Cylinder X / 89 = [2]³

Volume of Cylinder X / 89 = 8

Volume of Cylinder X = 8 x 89

Volume of Cylinder X = 712 cm³

Answer:

No

Step-by-step explanation:

Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides

Answer:

No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.

Answer:

y= -7/8 - 4/5

Step-by-step explanation:

y=mx+b

y= -7/8 + y intercept (b)

so y= -7/8 - 4/5

Answer: 26

Step-by-step explanation:

Answer:

19/18

Step-by-step explanation:

ii put it inna calculator

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5