1. Which is NOT a solution to the inequality below?
3x + 13 ≥ -8
-8
-7
-6
-5

Answer:

x = 1

AB = 9

BC = 9

AC = 18

Step-by-step explanation:

Given that B is the midpoint of AC, we can say that

AB = BC

x² + 8x = 4x + 5

subtract (4x+5) from both sides to make the equation equal to 0, enabling us to solve for x

x² + 4x - 5 = 0

Because 5 and -1 add to 4 (the coefficient to x in 4x) and 5 * (-1) = -5 ( the constant), we can factor this out into

(x+5)(x-1) = 0

Therefore, x² + 8x = 4x + 5 can be true at either x=-5. x=1, or both. Plugging these values in the equations to check, starting with x=-5, we get

-5²+8(-5) =4(-5) + 5

-15 = -15

As a line segment cannot have negative length, and  x² + 8x = 4x + 5  is negative when x=-5, x=-5 is not a viable solution

Next, for x=1, we get

1²+8(1) = 4(1) + 5

9=9

Therefore, x=1 is the only solution we have.

We have plugged this in for AB and BC, and 1²+8(1) = 4(1) + 5 = x² + 8x = 4x + 5 =  9 for both AB and BC

Next, AC is simply the sum of the two line segments that make them up, AB and BC, so AC = 9 + 9 = 18

Answer:

b = 6

Step-by-step explanation:

solve the second equation for 'y':

-3x + 1/2y = -3

add 3x to each side to get:

1/2y = 3x - 3

multiply all terms by 2 to eliminate the denominator to get:

y = 6x - 6

now compare '6x-6' with '6x-b'

you want both expressions to be equal because then there are an infinite number of solutions:

b = 6

Answer:

0.48 m^3

Step-by-step explanation:

volume = length * breadth * height

=6m * 4m * 0.02m

=0.48 m^3

Answer:

Remainder = (-4)

Step-by-step explanation:

f(x) = 5[tex]x^{5} + 1[/tex]

x + 1 = 0

x = -1

f(-1) = 5*[tex](-1)^{5} + 1[/tex]

      = 5 * (-1) + 1

      = -5 +1

      = -4

Answer:

First Price - 130% of original price

Marked Price(Second Price) - 0.85 of the first price

Second Price: 0.85 x 1.3 x 1 = 1.105

1.105 - 1 = 0.105(10.5%)

In conclusion, the shopkeeper is making a percentage profit of 10.5%.

Answer:

A general sinusoidal equation is:

y = A*sin(w*x + p) + M

where:

A is the amplitude

w is the angular frequency

p is the phase shift

M is the midline.

Now, we know that:

Amplitude must be 6, so A = 6

period is 2*pi/3

Remember that the frequency is the inverse of the period, then:

f = 1/T

f = 1/(2*pi/3) = 3/(2*pi)

And the angular frequency is 2*pi times the normal frequency, then:

w = 2*pi*f = 2*pi*(3/2*pi) = 3

w = 3

Here we not have information about the midline, so M = 0.

And we know that the phase shift is one unit to the left.

Remember horizontal translations:

for a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, then the translation is to the left

if N < 0 , then the translation is to the right,

Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:

p = +1

Replacing these in the equation we get:

y = 6*sin(3*x + 1) + 0

y = 6*sin(3*x + 1)

Answer:

96 yd^2

Step-by-step explanation:

Multiply l • w: 3 • 8 = 24 in

Convert inches to yards using the scale on the right:

24 • 4 = 96 yd^2

Answer:

0,1,2,3,4 all go in circle A and B which is the 4 boxes in the middle, but put zero in the box that is alone.

5,6,7 go in circle B

Step-by-step explanation:

Less than 5 is just 0,1,2,3,4.

A natural number is a number that is bigger than zero . so it is 1 and evrything higger than it

Answer:

f = 13[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given that f and e are congruent then e = f

Using Pythagoras' identity in the right triangle

f² + e² = 26² , that is

f² + f² = 676

2f² = 676 ( divide both sides by 2 )

f² = 338 ( take the square root of both sides )

f = [tex]\sqrt{338}[/tex] = [tex]\sqrt{169(2)}[/tex] = 13[tex]\sqrt{2}[/tex] ≈ 18.4 ( to 1 dec. place )

Answer:

f = 25.85751233

Step-by-step explanation:

f^2+E^2=26^2

Answer:

-3

Step-by-step explanation:

You subtract y values and divide by difference in x values

2-5=-3

4-3=1

-3/1=-3

Answer:

y = 1/2

Step-by-step explanation:

Varies inversely

xy = k

------------------------

Find the constant of variation

y = 39 when x = 1/3

k = 1/3 * 39

k = 13

-----------------------

what is the value of y when x=26

26y = 13

y = 13/26

y = 1/2

Answer:

y = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 39 when x = [tex]\frac{1}{3}[/tex] , then

39 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )

[tex]\frac{1}{3}[/tex] × 39 = k

13 = k

y = [tex]\frac{13}{x}[/tex] ← equation of variation

When x = 26 , then

y = [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the straight sides are just 4.5 *2 = 9 cm

the arcs are  2[tex]\pi[/tex]r * Ф/360

where Ф= 50 for this problem

and r = 8

the inner arc is  2[tex]\pi[/tex](3.5) *50/360 = 3.05432

the outer arc is 2[tex]\pi[/tex](8)*50/360 = 6.98131

total is 19.0356

to 3 sig figs is 19.036  :)

Answer:

Step-by-step explanation:

D is the correct answer

9514 1404 393

Answer:

  13311₅

Step-by-step explanation:

Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).

Continuing in this fashion gives the sum 13311₅.

__

If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...

  4311₅ +4000₅ = 13311₅

_____

The base-5 addition table is attached.

Answer:

i^3 = -i

Step-by-step explanation:

i^3

Rewriting as

i^2 *i

We know that i^2 = -1

-1 *i

-i

Answer:

Probability of spinning an odd number is 84%

Step-by-step explanation:

The probability of spinning a 1 or 4 is equal. Let this probability be X

Probability of spinning a 2 is 1/16

Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%

Sum of spinning 1,2,3 and 4 is equal to 100%

X + 16% + X + 8% = 100

2X = 100 - 16-8

X = 76%

Probability of spinning an odd number i.e one and 3 is

76% + 8% = 84%

Answer:

6,0

Step-by-step explanation:

(x,y) the point for c is on the 6 so 6 to the right, and it doesnt go up or down at all.

Answer:

The mass of the object will be "25 kg".

Step-by-step explanation:

Given that,

Mass,

m = 15 kg

Acceleration,

a = 5 m/s²

Now,

The force will be:

⇒ [tex]F = ma[/tex]

       [tex]=15\times 5[/tex]

       [tex]=75 \ N[/tex]

When, acceleration (a) = 3 m/s²

⇒ [tex]F = ma[/tex]

or,

⇒ [tex]m=\frac{F}{a}[/tex]

        [tex]=\frac{75}{3}[/tex]

        [tex]=25 \ kg[/tex]

Answer:86.67

Step-by-step explanation:

156:180*100 =

(156*100):180 =

15600:180 = 86.67

hoped this helped :)

Answer:

819 cm³

Step-by-step explanation:

V=L·H·W

V=9·13·7

V=819 cm³

Answer:

819 cubic cm/ cm3

Step-by-step explanation:

The formula to finding the volume of any prism is V=bh.

Going by this formula, we first will solve for the base.

The formula for a rectangular base is B=LxW.

In your question the length is 9 and the width is 7.

So let's plug this in our base formula: 9x7

Now by simplifying by multiplying the two, we will get a product of 63.

So now our expression is 63h

We now must plug in the height.

According to your question, h=13.

So lets plug it all in.

63(13)

Multiply the two and you get 819.

Since we are finding a volume, this can be labeled as cubic cm or cm3 in your terms.

Answer:

117

90

90

127

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 117

2. 90

3. 90

4. 127

Answer:

B and C

Step-by-step explanation:

Firstly do 16/4 which gives you 4 and then times that by 4 to give you 12 yards. Rinse and repeat this to find out how many yards are in each situation.

Answer:

40 cupcakes

Step-by-step explanation:

Since 50% is chocolate and there is 20 chocolate then there are 40 cupcakes

Hope I helped!

Happy Pride Month

Answer:

40 cupcakes

Step-by-step explanation:

If 50% percent of the cupcakes are chocolate then 20 chocolate cupcakes are half of the total amount of cupcakes so multiply 20 by 2 and get 40 so there are 40 cupcakes in all.

Label Base and Height please

Step-by-step explanation:

Answer:

18.84956- using π

Or

18.84- using 3.14

Step-by-step explanation:

Multiple the diameter 6m by π or 3.14

Answer:

A = 28.26 C = 18.84

Step-by-step explanation:

1/2(d) = 1/2(6) = 3

3 is the radius/r

π is said to be in this equation as 3.14

Calculate Area:

A = 1/4πd^2

A = 1/4(π6^2)

A = 1/4(π36)

A = 1/4(113.04)

A = 28.6

Calculate Circumference:

C = 2πr

C = 2(π3)

C = 2(9.42)

C = 18.84

Answer:

=12x-3

Step-by-step explanation:

Stick g(x) in for x in the function of f(x)

f(x) = -4x+5

g(x) = -3x+2

f(g(x)) = -4( -3x+2) +5

         = 12x -8+5

         =12x-3  

-2x+8y-3

Hope this helps! :)

Answer:

-2x + 8y -3

Step-by-step explanation:

-2x = -2x

2y + 6y = 8y

-3  = -3

Answer:

branllest if right

60%

Step-by-step explanation:

Answer:

Your answer is 33.3% as 8 goes into 24 3 times, then 100 - 33.3(repeating)% should equal 100 percent

Step-by-step explanation:

All you have to do is divide 8/24, and convert it into a percent, by moving the decimal twice to the right.