f(x) = 3x + 4^2 10x - 8

Answer:

Negative 1.5 less than negative 0.5

Step-by-step explanation:

False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.

False, negative 0.5 is again less than 0 so therefore it would not be greater.

False, one half is the same as 0.5 just in word form.

That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.

Answer:

C. –2.5 < –2

Step-by-step explanation:

Answer:

(10 + 3i)(10 - 3i)=109

Step-by-step explanation:

[tex](10+3i)(10-3i)=(10^{2} -10*3i)+(3*10i-3*3i^2)\\ =100-30i+30i-9i^2\\=100-9*(-1)\\=100+9=109[/tex]

Answer:

B) 109

Step-by-step explanation:

I took the test and got a 100%

Answer:

P  140 units

A  1200 units^2

Step-by-step explanation:

The length of the rectangle is 20 to -20 = 20 - -20 = 40 units

The width of the rectangle is 20 to -10 = 20 - -10 = 30 units

The perimeter is given by

P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units

The area is given by

A = lw = 40*30 = 1200 units^2

Answer:

1.755

Step-by-step explanation:

Answer:

D. y = -2x + 20

Step-by-step explanation:

first, plot these points on a linear graph.

work down from the top:

A. y = 2x + 5

look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5

y = 2x + 5

From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)

B. y = 2x - 6

the last number means the first point will be on -6 on the y axis.

y = 2x - 6

the 2x means that every 1 square you go across (to the right) from that point, you will move up 2

C. y = 2x

as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2

D. y = -2x + 20

the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.

this is the only line that moves down from left to right

Answer:

179.36 pounds

Step-by-step explanation:

Her weight in pounds is 180.8

Using this formula

Weight in pounds=Weighs in kilograms/pound in kilogram

Where:

Weighs in kilograms=81.36 kilograms

Pound in kilogram=0.45 kilogram

Let plug in the formula

Weight in pounds=81.36 kilograms/0.45 kilogram

Weight in pounds=180.8

Inconclusion Her weight in pounds is 180.8.

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Answer:

Left group: [tex]2x^{5\\}[/tex]     Right group: 3

Step-by-step explanation:

Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )

21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.

Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex]  =  2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)

Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].

Answer:

X | Y

2 | 7

4 | 9     <-- linear.

6 | 11

8 | 13

A linear function is when there is an even consonant decline or up-rise.

X | Y

1  | 2

2 | 4 <-- also linear.

3 | 6

4 | 8

Answer:

c

Step-by-step explanation:

(24 - 15) x 4 - 3 x 2

9 x 4 - 3 x 2

36 - 6

30

Answer:

Yes

Step-by-step explanation:

1/2 fruit cocktail—>57

broiled sirloin—>240

baked potato—>145

442 is the total so yes

Answer:

3^5 = 243 square feet

Step-by-step explanation:

Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:

1. Multiply powers:

A = 3² * 3³

2. Expand each power:

A = (3*3) * (3*3*3)

3. Simplify:

[tex]A = 3^5[/tex]

The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.

The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

The complete sentences are actually the way to solve the question and can be completed as mentioned below:

A rectangle with a length of 3 cubed feet and a width of 3 squared feet.

Find the area.

1. Multiply powers: Area = 3² · 3³

2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)

3. Simplify: Area = [tex]\bold{3^5}[/tex]

The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.

Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

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Answer:

trinomial

Step-by-step explanation:

plus and minus signs separate terms.

2x^2 is a term

5x^2 is another term

-8 is another term.

The given algebraic expression is binomial.

The given expression is 2x²+5x²-8 (7x²-8).

We need to check whether the given expression is a monomial, binomial or trinomial.

The different types of algebraic expression are explained below:

Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.

Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.

Trinomial: An algebraic expression of three non-zero terms only is called a trinomial.

Now, the given expression 7x²-8 as two terms.

Therefore, the given algebraic expression is binomial.

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Answer:

D.~ 34.2~cm^2

Step-by-step explanation:

An arc measure of 20 degrees corresponds to a central angle of 20 degrees.

Area of sector of circle

area = \dfrac{n}{360^\circ}\pi r^2

where n = central angle of circle, and r = radius

area = \dfrac{20^\circ}{360^\circ}\pi (14~cm)^2

area = \dfrac{1}{18}(3.14159)(196~cm^2)

area = 34.2~cm^2

Answer:

60

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Angle P and Angle Q are co- interior angles so they add up to 180 degrees

If angle P is 116, then:

116+ x= 180

(x= Angle Q)

x=180-116

x=64

Answer:

Y=8

Step-by-step explanation:

A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8

Answer: y = 8

Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".

Since we are given that the y-coordinate is 8, that means that

the equation of this line will be y = 8.

Answer:

number of math cpurses: discrete. weight of backpacks: continuous

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formulas you would be using:

Volume of a pyramid: [tex]V = \frac{bh}{3}[/tex]  b = base, h = height

Area of a trapezoid: [tex]A = \frac{a+b}{2} h[/tex]  a = base₁ , b = base₂ , h = height

First, we're going to find the area of the trapezoid, which is the base of the pyramid.

We are given that a = 20, b = 30, h = 20

Plug it in:

[tex]\frac{20+30}{2} (20)[/tex] = 500 cm²

Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.

[tex]V = \frac{(500)(27)}{3}[/tex] = 4500 cm³

Hope this helps :D

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

Answer:

W=2 units

Step-by-step explanation:

Length=L

Width=L-4

Area of a rectangle= L*W

L(L-4)=12

L^2-4L=12

L^2-4l-12=0

Now we have a quadratic equation

(L-6)(L+2)=0

L=6, L=-2

L cannot be -2 because it is negative, so L must be 6.

BUT it is asking for the width

and it is given that the width is the length minus 4 units, so

6-4= 2 units

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

Answer:

It's 6/18

Step-by-step explanation:

Step-by-step explanation:

Im not sure ut it looks like 3x over 3x would cancel eachother out.

Answer:

$2.40

Step-by-step explanation:

Take the price of each item and divide by ten to find the cost of 1/10:

3 divided by 10 = .3

5 divided by 10 = .5

Then multiply by the amount he is purchasing:

.3 x 3 = .9

.5 x 3 = 1.5

Add the prices together for a total:

.9 + 1.5 = 2.4

it should be logb^N=p

Answer:

180cm^3

Step-by-step explanation:

Step-by-step explanation:

The equation

(x - a)² + (y - b)² = r²

describes a circle of radius r, with center at the point (a, b).

G is a circle of radius 7 units, centered at the point (14, -12).

H is a circle if radius 14 units, centered at the point (18, 8).

Answer:

Dilation

Step-by-step explanation:

The general form of a circle with center at (h, k) and radius r units is given as

(x - h)² + (y - k)² = r²

G is a circle centered at the point (14, -12) with radius 7 units.

G is dilated 4 units to the right on the x-axis, 20 units upwards on the y-axis, and 7 units on the radius to a circle H with center at the point (18, 8) and radius 14 units.

Answer:

$60

Step-by-step explanation:

SI = (PRT)/100

SI = Simple Interest

P = Principal

R = Rate ( in decimal form)

T = Time

SI = (1200 x .5 x 1)/100

SI = 6000 / 100

SI = 60

Answer/Step-by-step explanation:

This does not make a right triangle because the Pythagorean Theorem shows that 4^2 + 6^2 does not equal 8^2.

16 + 36 = 64

52 doesn't equal 64.

Answer:

This does not make a right triangle because according to the pythagorean theorem, a^2+b^2=c^2. 16+36 does not equal 64, thefore, the triangle with the following sides is not a right triangle.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

circumfrence : 43.96 area :153.94

Step-by-step explanation: