Put the linear inequality into slope-intercept form.

Answer:

The two x-intercepts are (-1, 0) and (3, 0).

Step-by-step explanation:

Set each factor = to 0 and solve for x:

x + 1 = 0 => x = -1.  One x-intercept is thus (-1, 0).

x - 3 = 0 => x = 3.  The other x-intercept is (3, 0).

Answer:

The answer is option B.

The second graph.

Hope this helps you

Answer:

1

Step-by-step explanation:

The number of terms in the polynomial;

7b^7

The number of terms in this polynomial is simply 1

Since the two are together, they are treated as a single term in the polynomial.

Take for example a quadratic polynomial;

3x^2 + 2x + 1

This is a polynomial with 3 terms.

All multiplications are treated as a single unit.

This is the case in terms of what we have too

Answer:

6 granite, 3 marble, 14 sandstone, 1 slate

ratio of sandstone to marble

how many sandstone does she have .....14

how many marble does she have......3

so the ratio would be 14:3

Answer:

C. 14:3

Step-by-step explanation:

Dana has 14 pieces of sandstone.

Dana has 3 pieces of marble.

The ratio of pieces of sandstone to pieces of marble is 14:3.

The ratio cannot be simplified further.

Answer:

A.louis drive a chevolet

Step-by-step explanation:

from the question three different people drive different cars . since two out of the three people has been excluded from driving a particular car i.e the third person is the one driving Chevrolet

Answer:

The formula for perimeter is 2l+2w, where l is the length and w is the width.

The formula for area is lw, where l is the length and w is the width.

Answer:

The length is 600 ft

Step-by-step explanation:

We can use the Pythagorean theorem since we know the diagonal which is the hypotenuse and the width

a^2 + b^2 = c^2

450 ^2 + b^2 = 750^2

b^2 = 750^2 - 450^2

b^2 =562500-202500

b^2 =360000

Taking the square root of each side

sqrt(b^2) = sqrt(360000)

b =600

Answer:

29

Step-by-step explanation:

Let the smaller integer be x.

The other integer is 1 greater than 3 times x, or 3x + 1.

The product is 154.

x(3x + 1) = 154

3x^2 + x - 154 = 0

157 = 2 * 7 * 11

14 * 11 = 154

22 * 7 = 154

(3x + 22)(x - 7) = 0

3x + 22 = 0 or x - 7 = 0

3x = -22 or x = 7

x = -22/3 or x = 7

-22/3 is not a positive integer, so we discard that solution.

The smaller integer is 7.

3x + 1 = 3(7) + 1 = 22

The greater integer is 22.

The sum of the integers is 7 + 22 = 29

Answer: 29

Step-by-step explanation:

Answer:

The actual height of the object is 200.2 cm

Step-by-step explanation:

The parameters given are;

The actual height = 154 cm.

The height in the picture = 10 cm.

The height of the object = 13 cm

The scale of the picture is 154 is to 10 or 154:10 which is equivalent to 77:5

Therefore the scale of the actual object height to the image height = 77:5

Where the image of the object = 13 cm

Let the height of the actual object = X, then we then have;

[tex]\dfrac{77}{5} = \dfrac{X}{13}[/tex]

[tex]X = 13 \times \dfrac{77}{5} = \dfrac{1001}{5} = 200\frac{1}{5} \ cm = 200.2 \ cm[/tex]

The actual height of the object = 200.2 cm.

Answer:

[tex]2xy\sqrt[3]{2x^2z}[/tex] and [tex]2xy(2x^2z)^{\frac{1}{3}}[/tex].

Step-by-step explanation:

The given radical expression is

[tex]\sqrt[3]{16x^5y^3z}[/tex]

We have to simplify the above expression.

The above expression can be written as

[tex]\sqrt[3]{(2\times 8)(x^{3+2})y^3z}[/tex]

[tex]\sqrt[3]{(2\times 2^3)(x^3\times x^2)y^3z}[/tex]    [tex][\because a^{m+n}=a^ma^n][/tex]

[tex]\sqrt[3]{(2^3x^3y^3)(2x^2z)}[/tex]

[tex]\sqrt[3]{(2xy)^3}\sqrt[3]{2x^2z}[/tex]    [tex][\because (ab)^m=a^mb^m][/tex]

[tex]2xy\sqrt[3]{2x^2z}[/tex]    [tex][\because \sqrt[n]{x^n}=x][/tex]

It can be written as exponent form.

[tex]2xy(2x^2z)^{\frac{1}{3}}[/tex]    [tex][\because \sqrt[n]{a}=a^{\frac{1}{n}}][/tex]

Therefore, the required expressions are [tex]2xy\sqrt[3]{2x^2z}[/tex] and [tex]2xy(2x^2z)^{\frac{1}{3}}[/tex].

Answer:

C. Negative three-fourths

Step-by-step explanation:

Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:

-1 1/4 + 1/2

Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:

-5/4 + 1/2

Taking the LCM of the expression

= (-5+2)/4

= -3/4

Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths

Answer:

-3/4

Step-by-step explanation:

-1 1/4 +1/2

-5/4    +    2/4

-3/4

Answer:

Quadratic binomial

Step-by-step explanation:

4x(x+1) - (3x-8)(x+4)

Open parenthesis

(4x^2+4x) - (3x^2+12x-8x-32)

(4x^2+4x - 3x^2-12x+8x+32)

Collect like terms

4x^2-3x^2+4x+8x-12x+32

=x^2+32

Quadratic binomial

Answer:

B. Quadratic trinomial

Step-by-step explanation:got it right on Pluto hope it helps

Answer:

A. 12 for every 7

Step-by-step explanation:

There are 12 peas in her bowl.

There are 7 peas in her hair.

The ratio of peas in her bowl to peas in her hair is 12 for every 7.

Answer:

I. (x - 6)² + (y + 7)² = 121

Step-by-step explanation:

Given a circle with coordinates of the center as (6, -7), and with a diameter of 22, equation of the circle is given below using the standard equation formula of a circle:

Formula => (x - a)² + (y - b)² = r²

Where,

a = 6

b = -7

r = radius of circle = ½ of diameter = ½ of 22 = 11

Thus, plug in the above values into the standard equation formula:

(x - 6)² + (y - (-7))² = 11²

(x - 6)² + (y + 7)² = 121

Our answer, which is the equation of the circle is I. (x - 6)² + (y + 7)² = 121

Answer:

Annual Interest Rate, r  = 5.69%

Step-by-step explanation:

Amount of loan taken = 220,000

Closing fee is 5% of the loan value

Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000

Therefore, Principal, P = Loan amount + closing fee

P = 220000 + 11000

P = 231, 000

Annual rate, r= 5.25% = 0.0525

Monthly rate, i = 0.0525/12 = 0.004375

Time, n = 30 years = 30*12 = 360 months

The monthly payment will be calculated by:

[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59[/tex]

Assuming payments are made based on 220,000, let us calculate the monthly interest rate.

[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229[/tex]

Annual rate, r = 12 * 0.0047429

r = 0.0569 = 5.69%

Answer:

42

Step-by-step explanation:

When calculating the greatest common divisor, you must look for the smallest divisors that can divide the no. s given simultaneously.

So in this case the smallest divisor will be 2.

378 =189. 420 =210

2. 2

The next divisor that 189 and 210 can both be divided with is 3

189 =63. 210 =70

3. 3

The third smallest divisor that can 63 and 70 can be divided with is 7

63 =9. 70 =10

7. 7

9 and 10 have no common divisors that can divide them fully without leaving a remainder

So to get the greatest common divisor, multiply all the divisors you have used

In this case we've used 2,3,7

2x3x7= 42

Answer:

sister and brother

Answer:

-10

Step-by-step explanation:

-4 between each number

Answer:

(x-5)(x-8)(x+2)=0

Step-by-step explanation:

first look at the x intercept to find the factor

x:-2,5,8

x=-2 then x+2=0

x=5 then x-5=0

x=8 then x-8=0

(x-5)(x-8)(x+2)=0

check for y in the polynomial when x=0

x^3-11x^2+14x+80

x=0 y=80 ( correct according to the graph

Answer:

The answer is option A.

[tex] \frac{3}{ {n}^{5} } [/tex]

Hope this helps you

The expression for " 3 divided by n to the fifth" is given by

[tex]\frac{3}{n^{5} }[/tex].

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

According to the given question.

We have a statement

" 3 divided by n to the fifth"

Since, n to the fifth can be written as [tex]n^{5}[/tex].

Therefore,

the expression for " 3 divided by n to the fifth" is given by

[tex]\frac{3}{n^{5} }[/tex].

Thus, option A is the correct.

Find out more information about expression here:

https://brainly.com/question/14083225

#SPJ3

Answer:

D.

Step-by-step explanation:

As long as the function's largest power is two, it is a quadratic function.

a. (3x - 2)(4x + 7)

= 12x^2 - 8x + 21x - 14

The largest power is 2. This is a quadratic function.

b. 7x^2 + 8x

The largest power is 2. Quadratic function.

c. (2x - 1)^2

= 4x^2 - 4x + 1

Largest power is 2. Quadratic function.

d. 8x^4- 3x^3 + 5x^2

Largest power is 4. Non-quadratic function.

Hope this helps!

Answer:

320 people

Step-by-step explanation:

[tex]\frac{2 people}{5 people}[/tex]=[tex]\frac{x}{800 people}[/tex]

solve for x by using cross multiplication

     -multiply 2 by 800 to get 1,600

     -divide 1,600 by 5 people to get 320

your answer is 320 people

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]\sqrt{x-1} =2-\sqrt{x+3}[/tex]

Square both sides.

[tex]\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2[/tex]

[tex]x-1=x+7-4\sqrt{x+3}[/tex]

Subtract x on both sides.

[tex]x-1-x=x+7-4\sqrt{x+3}-x[/tex]

[tex]-1=-4\sqrt{x+3}+7[/tex]

Subtract 7 on both sides.

[tex]-1-7=-4\sqrt{x+3}+7-7[/tex]

[tex]-8=-4\sqrt{x+3}[/tex]

Square both sides.

[tex]\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2[/tex]

[tex]64=16x+48[/tex]

Subtract 48 on both sides.

[tex]64-48=16x+48-48[/tex]

[tex]16=16x[/tex]

Divide both sides by 16.

[tex]\frac{16}{16} =\frac{16x}{16}[/tex]

[tex]1=x[/tex]

Switch sides.

[tex]x=1[/tex]

Answer:

y = 2/3x + 1/3

Answer:

y = 2/3x + 1/3

Step-by-step explanation:

Answer:

D. The data are discrete because the data can only take on specific values.

Step-by-step explanation:

Continuous variables are variables that can take on any value in an interval. Examples of continuous variables are length, time, etc.

Discrete variables on the other hand are variables that can only take on specific values.

The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.

The correct option is D.

Answer:

(3) =  119

(4) =  119

Step-by-step explanation:

Given isosceles triangle with vertex angle 58.

Need exterior angles of base angles 1 & 2.

Solution:

Vertex angle = 58.

Base angle = x

Sum of triangles = 180 =>

x + x + 58 = 180

Solve for x

x = (180-58)/2 = 122/2 = 61

Exterior angles are supplementary to interior (base) angles, so

(3) = 180-(1) = 180 - 61 = 119

(4) = 180-(2) = 180 - 61 = 119

* note: supplementary means sum of two angles = 180.

The measurements of angle 3 and angle 4 are​ 119degrees and 119degrees respectively.

The sum of the interior angle of the triangle is 180degrees.

According to the diagram shown:

m<1 + m<2 + 58 = 180

Since <1 = <2, hencce:

m<1 + m<1 + 58 = 180

2m<1 = 180 - 58

2m<1 = 122

m<1 = 122/2

m<1 = 61 degrees

Since <1 = <2, thereofore m<3 = m<4

Get the measure of m<3

m<1 + m<3 = 180 (supplementary angles)

61 + m<3 = 180

m<3 = 180 - 61

m<3 = 119 degrees

Recall that m<3 = m<4, hence m<4 = 119degrees

The measurements of angle 3 and angle 4 are​ 119degrees and 119degrees respectively.

Learn more here: https://brainly.com/question/21680544

Answer:

The cup holds 26.2 in3 more ice cream than the cone.

Step-by-step explanation:

1. Let's find the volume of ice cream that the cone holds, this way:

Volume = π * r² * h/3

Replacing with the real values, we have:

Volume = 3.14 * 2.5² * 5/3

Volume =32.7 inches³

2. Let's find the volume of ice cream that the cup holds, this way:

Volume = π * r² * h

Diameter = 5 inches ⇒ Radius = 2.5 inches

Replacing with the real values, we have:

Volume = 3.14 * 2.5² * 3

Volume =58.9 inches³

3. Let's find the difference, this way:

Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³

The cup holds 26.2 in³  more ice cream than the cone.

Answer:

8.0

Step-by-step explanation:

Since we are trying to find the nearest tenth decimal place, we look at the hundredths place to figure it out. Since it is ≥5, we round up.

Answer:

The answer would be 8

Step-by-step explanation:

If you have a decimal and you need to round, if it is four and below, you would have just leave the number as it is if it is five and above, you round up.

Answer:

(2 a - b) (18 a - 9 b - 4)

Step-by-step explanation:

Factor the following:

9 (2 a - b)^2 - 4 (2 a - b)

Factor 2 a - b out of 9 (2 a - b)^2 - 4 (2 a - b):

(2 a - b) (9 (2 a - b) - 4)

9 (2 a - b) = 18 a - 9 b:

Answer: (2 a - b) (18 a - 9 b - 4)