The solution to the inequality -3x +8 < 11 is

(A)x<-1
(B)x>-1
(C)x>1
(D) x<1​

Answer:

#28: 37.8

#29: pretty sure it is -10.67

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

Answer:

[tex]P(x)=x^3-5x^2+2x+8[/tex]

Step-by-step explanation:

If the polynomial has the following zeros: x= 4, x=2, and x=-1, then it must have the following factors which guarantee the polynomial will render zero at the given points:

[tex]P(x)=C (x-4)\, (x-2) \,(x+1)[/tex]

where C is any multiplicative constant. Since there is no other condition imposed on the polynomial, we can adopt a simple constant C = 1 to facilitate our final calculation of writing the polynomial in standard form:

[tex]P(x)=(x-4)\, (x-2) \,(x+1)\\P(x)=(x^2-2x-4x+8)\,(x+1)\\P(x)= (x^2-6x+8)\,(x+1)\\P(x)=x^3+x^2-6x^2-6x+8x+8\\P(x)=x^3-5x^2+2x+8[/tex]

Answer:

y+6 = -2(x-4)

Step-by-step explanation:

Point slope form is given by

(y-y1) = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

(y - -6) = -2( x-4)

y+6 = -2(x-4)

Answer:

x = 6

Step-by-step explanation:

3 ln x = ln 216

Rewrite 216 as 6^3

3 ln x = ln 6^3

We know that ln a^b = b ln a

3 ln x = 3 ln 6

x = 6

Step-by-step explanation:

if you have a whole number and fraction you can simply at them together, which results in what's called mixed number .

example : the mixed number 8 3/4 is understood to mean the same thing as

8 + 3/4.

Answer:

The one with replacement BBG is 2/5 and 3/5

The one without replacement BBG is 2/5, 3/3, and 1/10

The one with replacement BGG is 3/5

The one without replacement BGG is 12/60

The one with replacement GBB is 3/5 and 12/125

The one without replacement GBB is 3/5 and 1/3

The one with replacement GBG is 3/5 and 3/5

The one without replacement GBG is 1/5

The one with replacement GGB is 3/5

The one without replacement GGB is 2/4 and 1/5

The one with replacement GGG is 27/125

The one without replacement GGG is 2/4 and 1/3

Step-by-step explanation:

Hope this helps

Sorry if I was late

Answer:

-5 and 11

Step-by-step explanation:

| 3-x | = 8

absolute sign has two value. POSITIVE and NEGATIVE value

POSITIVE

3-x = 8

x = 3-8 = -5

NEGATIVE

-(3-x) = 8

-3 + x = 8

x = 8+3 = 11

Answer:

x =-5                           x = 11

Step-by-step explanation:

|3-x| = 8

We get 2 solutions to an absolute value, one positive and one negative

3-x =8      3-x = -8

Subtract 3 from each side

3-x-3 = 8-3           3-x-3=-8-3

-x =5                      -x = -11

Multiply by -1

x =-5                           x = 11

Answer:

It will be letter D and A

Step-by-step explanation:

Letter D, because you are saying that is 25 over 100 and letter A because the equation to find a percentage is:

[tex]\frac{X}{Y}= \frac{PERCENTAGE MISSING}{100}[/tex]

X and Y: will be the information that they give so, the equation and answer will be

[tex]\frac{25}{100} =\frac{x}{100}\\\\ \frac{25* 100 }{100} \\\\\frac{2500}{100} \\\\25%[/tex]

Answer:

D & A

Step-by-step explanation:

Answer:

51/12

as a mixed number

4 1/4

Step-by-step explanation:

first you add 8 to 4 which is 12

so the improper fraction would be 51/12

how to turn it in to a mixed number in simplest form

step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:

51 / 12 = 4.2500 = 4

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

51 - (12 x 4) = 3

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

4  

   3  

   12  

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:

4  

   1  

   4  

Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .

What is the slope of the first line?  

✔ –5

What is the slope of the second line?  

✔ 2

How many times do the lines intersect?  

✔ 1

How many solutions does the system have?  

✔ 1

Answer:

Step-by-step explanation:

-5x - 1 = 2x + 6

-7x - 1 = 6

-7x = 7

x = -1

y = -5(-1) - 1 = 5 - 1 = 4

(-1. 4)

first slope: -5

second slope: 2

once

one

Answer:

30 days

Step-by-step explanation:

There are 6 * 7 = 42 days in 6 weeks.

There are 2 * 6 = 12 weekends in 6 weeks.

42 - 12 = 30

Answer:

30 days

Step-by-step explanation:

Add 1 to both sides of the equation to get 4x = 4.

Divide both sides by 4 and x = 1.

Answer:

x= 1

Step-by-step explanation:

4x-1=3

    +1 +1

4x=4 (divide both sides by 4 to get x alone)

x=1

Answer:

12 units

Step-by-step explanation:

distance formula

Answer:

The value of Area of B/Area of A is 0.75.

Step-by-step explanation:

It is provided that:

Consider the diagram below.

The area of a rectangle is:

[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]

Compute the area of rectangle A as follows:

[tex]\text{Area of A}=l\times b[/tex]

Compute the area of rectangle B as follows:

[tex]\text{Area of B}=1.25\ l\times \frac{3}{5}\ b=0.75\ (l\times b)[/tex]

Compute the value of Area of B/Area of A as follows:

[tex]\frac{\text{Area of B}}{\text{Area of A}}=\frac{0.75\ (l\times b)}{l\times b}=0.75[/tex]

Thus, the value of Area of B/Area of A is 0.75.

Answer:

She has sold 3/5 of them.

Step-by-step explanation:

3 paintings out of 5 pictures. 3/5.

Answer:

3/5 of her pictures.

Step-by-step explanation:

Because there are 5 pictures in all, 5 is going to be the denominator, or the bottom number in the fraction.  And since she has sold 3 pictures, which used to be part of 5 pictures, 3 is going to be the numerator, or the top number in the fraction. the two ways to write it are: 3/5 and [tex]\frac{3}{5}[/tex].

Hope this helped :)

Answer:

1) 9 × 2 = 18 cm²

2) 6 cm

3) 9 × 2 × 6 = 108 cm³

Answer:

Base area: [tex]18cm^2[/tex]

Height: 6 cm

Volume: [tex]108cm^3[/tex]

Step-by-step explanation:

Base area:

So the base is the side the right rectangular prism is laying on and in this case it is ABCD and the length and width is 9 and 2 so multiplying that we get [tex]18cm^2[/tex].

Height:

In this scenario of a right rectangular prism any side It is lying on so we will use 6 cm as the height.

Volume:

To find the volume of a rectangular prism you have to use the following formula.

[tex]V=l*w*h[/tex]

The l is length which is 9 cm.

The w is width which is 2 cm.

And the h is height which is 6 cm.

So multiplying all that we get [tex]108cm^3[/tex].

Answer:

D i think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!

Answer:

a =7

Step-by-step explanation:

The triangles are similar so we can use ratios

10           10

------  = --------

10+a      10+7

Since the numerators are the same, the denominators have to be the same

10+a = 10+7

a = 7

Answer:

a) g(f(x)) = (sqrt(x - 5))^2 + 1 = x - 5 + 1 = x - 4

b) For f(x), domain is x - 5 >= 0, or x >= 5, so for g(f(x)), the domain is

x >= 5

Answer:

f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares

g(x) = x+9/x-9

g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)

= ( x + 9)(x +9)

= ( x + 9)²

= x² + 18x + 81

Hope this helps.

Answer:

m= -1

b= -3

Step-by-step explanation:

The equation is in point-slope form, which is

y=mx +b

Where m is the slope and b is the y intercept.

Essentially; the number being multiplied by x is the slope, and the number being subtracted or added to x is the y-intercept.

We are given this equation of a line:

y= -x-3

-1 and x are being multiplied. (-1*x=-x). Therefore, the slope is -1. 3 is being subtracted from -x (-3). Therefore the y intercept is -3.

m= -1

b= -3

Answer:

[tex] \sf{ \dfrac{ 3}{5}x + 2 = \dfrac{2}{3} x}[/tex]

[tex] \implies \sf{ \dfrac{2}{3} x - \dfrac{3}{5} x} = 2[/tex]

[tex] \red\star \sf{take \: l.c.m \: of \: 3 \: and \: 5 = 15}[/tex]

[tex] \implies \sf{ \dfrac{10x - 9x}{15} = 2 }[/tex]

[tex] \implies \sf{ \dfrac{x}{15} = 2 }[/tex]

[tex] \implies \sf{x = 2 \times 15}[/tex]

[tex] \implies \sf{x = 30}[/tex]

Answer:

x=30

Step-by-step explanation:

3/5x+2=2/3x

So for solving for x you are going to first try to get x on the same side so move 2/3x to the left side of the equal sign. so it becomes 3/5x-2/3x+2=0 then you are going to combine like terms and subtract 2/3x from 3/5x so it becomes 9/15x-10/15x since they have least common denominater which is 15 so it becomes 9/15 and 10/15 then you subtract them so it is -1/15x+2=0 then you are going to move the 2 to the other side of the equal sign so it is -1/15x=-2 then you are going to divide multiply -15 to both sides to get rid of it from the x side so you can isolate it so therefore the answer is x=30

Answer:

3) 10^12

4) 0.99^4

8) x^12

9) 3/4^6

Step-by-step explanation:

10^(6+5+1)

0.99^(3+1)

x^(6+2+4)

3/4^(2+2+2)

3) 10^12=1000000000000

4)0.99^4=0.96059601

8)x^12

9)(3/4)^6=0.1779...

Answer:

81

Step-by-step explanation:

Since angles B and D are opposite each other, they are supplementary.

The value of x is 81°, the correct option is B.

A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.

The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.

A quadrilateral is a polygon with four sides, the quadrilateral are of many types like, trapezoid, parallelogram, rhombus, and square.

When a Quadrilateral is inscribed in a circle, the sum of the angles of the opposite sides of the quadrilateral is equal to 180 degree.

A quadrilateral ABCD is inscribed in a circle.

Angle B measures 121°.

Angle D measures (x - 22)°.

The both angles are supplementary

The equation formed will be

121 + (x -22) = 180°

(x -22) = 59°

x = 81°

To know more about Circle

https://brainly.com/question/11833983

#SPJ5

Answer:

Step-by-step explanation:

Pool:

Width = x ft

Length = (x+6) ft

Pool along with walkway:

Width = x + 5 + 5 = (x + 10) ft

Length = x + 6 + 5 + 5 = (x + 16) ft

Total area of the pool with walkway = 950 sq.ft

length * width = 950

(x+16) * (x + 10) = 950

Use FOIL method,

x*x + x *10 + 16*x + 16 *10 = 950

x² + 10x + 16x + 160 -950 = 0   {Add like terms}

x² + 26x - 790 = 0

Answer:

29.4 length and 21.4 width.

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total

Answer:

Number 2 obtuse

Step-by-step explanation:

Answer:

∠COB is obtuse angle

Explanation:

I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.

We can clearly see, just by looking at the image. ∠COB is an obtuse angle

Answer:

2). Volume = 14400 feet³

3). Volume = 157.5 ft³

Step-by-step explanation:

Both the figures given in the sheet attached are a rectangular pyramid and a triangular prism.

2). In this part of the question solid given is in the shape of an rectangular pyramid.

Volume of this oblique pyramid = [tex]\frac{1}{3}(\text{Base})(\text{Height})[/tex]

Here 'B' = area of the base

h = height of the pyramid

Volume = [tex]\frac{1}{3}(25\times 36)\times 48[/tex]

             = 14400 cubic feet

4). Volume of a triangular cone = (Area of the triangular base)×(height)

                                                    = [tex][\frac{1}{2}(\text{Base})(\text{height})]\times {\text{height of the prism}}[/tex]

                                                    = [tex]\frac{1}{2}(7\times 9)\times {5}[/tex]

                                                    = 157.5 ft³

Answer:

I think the answer is the last one

adjacent side / hypotenuse