what is the quotient when (x+3) is divided into the polnomial 2x^2+x-15

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

[tex]\frac{1}{2}[/tex] × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = [tex]\frac{30x+150}{3x+15}[/tex] ← factor numerator and denominator

  = [tex]\frac{30(x + 5)}{3(x+5)}[/tex] ← cancel the factor (x + 5) on numerator/denominator

  = [tex]\frac{30}{3}[/tex]

  = 10

Answer:

b = 10ft

Step-by-step explanation:

Area = ½ × base × height

15x + 75 = ½ × base × (3x + 15)

30x + 150 = base × (3x + 15)

10(3x + 15) = base × (3x + 15)

base = 10

Answer:

14

Step-by-step explanation:

4/(2/7)=(4/1)(7/2)=28/2=14

Answer:Its D, just took the test.

Step-by-step explanation:

The US Treasury Bonds is the best choice for Denzel's investment based on his preference for moderate risk, trust in government-issued investments, and a desire for a return within a year.

Based on Denzel's investment preferences, the ideal choice for him would likely be D. US Treasury bonds. US Treasury bonds are direct obligations of the federal government, making them quite secure because they carry the full faith and credit of the U.S. government. Also, given that these bonds often provide moderate returns and can be purchased with various maturity dates (including one-year bonds), they line up with Denzel's desire to see a return on his investment in a year and his reluctance to lock his money up for long periods without realizing gains.

It's worth noting that, while the other options listed might also be suitable investments for different scenarios, they do not align as well with Denzel's specific risk tolerance, investment timeline, and trust in government-issued investments.

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Answer:

12

Step-by-step explanation:

baby = b

adult = a

b=3a

15*3a + 7a = 208

45a + 7a = 208

52a = 208

a=4

there were 4 adult dinosaurs

there were 12 baby dinosaurs

Answer:

12 adults 4 babies

Step-by-step explanation:

Answer: the answer is c,d or b,d but i think it i c and d

Step-by-step explanation:

Answer:

The area is 18un^2

Step-by-step explanation:

The trapezoid area formula is (b1+b2)*h/2

so the two bases are 9 and 3. add them 9+3 = 12

the height is 3 multiply 12*3 = 36

then divide by two 36/2 = 18

Answer: bracelets over week

Step-by-step explanation:

Given : Margaret makes bracelets and sells them to tourists.

The function s(t) approximates how many bracelets Margaret makes per hour.

The function W(h) represents how hours per week Margaret spends making bracelets.

Here in s(W(h)) , the domain of s becomes W(h).

Thus, the units of measurement for the composite function s(W(h)) is bracelets over week.

Answer:

see graph of y=3/4 x-4

Step-by-step explanation:

Assuming you mean

[tex]y = \frac34x - 4[/tex]

Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.

You have to be careful on how you write these equations down. It might very well be that you meant:

[tex]y = \frac{3}{4x-4}[/tex] or [tex]y = \frac{3}{4x} - 4[/tex]

However, those are more complex so I'm hoping for the first one... ;-)

Answer:

lenght = 13 inches

width = 7 inches

Step-by-step explanation:

p= 2(l+b)

let lenght be x

width be y

so x=y+6

40 = 2(y+6 + y)

40= 2( 2y+6 )

20= 2y +6

2y = 20-6

2y=14

y=7

x=7+6=13

so lenght is 13 inches

width is 7 inches

The problem is about finding the length and width of a rectangle given its perimeter and their relationship. Solve it by forming an equation from the given information and solving for 'x'. The resulting dimensions are a width of 7 inches and length of 13 inches.

The question given is a problem in algebra and pertains to the dimension of a rectangle. To solve it, let's assume the width of the rectangle to be 'x'. As per the information given, the length can be written as 'x+6'. The formula for the perimeter of a rectangle is 2*(Length + Width).

In this problem, we have perimeter = 40 inches. By substituting the values of length and width into the formula, we get: 2*(x + (x+6)) = 40.

By simplifying, you find that 2*(2x+6) = 40, which reduces to 4x+12 = 40. If you subtract 12 from each side, you get: 4x = 28. Finally, dividing each side by 4 you find the width 'x' equals 7.

Substituting x=7 in length equation: length = 7+6 = 13. So, the dimensions of the rectangle are width = 7 inches, and length = 13 inches.

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Answer:

Let x = the number of hotdogs

Let y = the number of tacos

​

3.5x+4y=63

x=y+3

​

This solution defines a system of equations for a problem about purchasing hotdogs and tacos at a certain value. Quantity and value equations are defined as H=T+3 and 3.50H+4T=63 respectively, with H and T standing for number of hotdogs and tacos.

The question asks us to define a system of equations for Kayla's purchase of hotdogs and tacos. Let's denote the number of hotdogs as H and the number of tacos as T. As per the question, we have two conditions: Kayla spent $63 in total and she bought 3 more hotdogs than tacos. Therefore we can define below equations:

These two equations can then be solved simultaneously to find the number of hotdogs (H) and tacos (T) Kayla bought.

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Answer:

a

Step-by-step explanation:

Answer:

x < - 3

Step-by-step explanation:

Given

x + 5 < 2 ( subtract 5 from both sides )

x < - 3

Yo sup??

x+5<2

adding -5 on both the sides

x+5-5<2-5

x<-3

Therefore x can take any value from -3 (-3 not included) to negative infinity.

Hope this helps.

Answer

3h=87 or h=87/3

Step-by-step explanation:

Answer:

Let's see...

Step-by-step explanation:

I hope this helps!

- sincerelynini

Answer:

Step-by-step explanation:

(X²+2x+5)(2x)

= 2x(x²) +2x(2x) + 2x(5)

= 2x³ + 4x² + 10x

Answer: the one that sells 12 ounces for 1.95

Step-by-step explanation:

A: 1.95÷12=0.1625

B: 2.10÷18=0.1166666667

A gets more money.

Hope this helps ca.you tell me if it does and can you give me brainliest plzzz???

Answer:a

Step-by-step explanation:Because four divide by three is one point and thirty three

Final answer:

To find a factor that when multiplied with 7/10 results in a greater number, the factor must be greater than 1. The only option greater than 1 is 4/3. Therefore, the correct answer is A. 4/3.

Explanation:

The question is asking to find a factor that when multiplied with 7/10, results in a product that is greater than 7/10. To have a resulting product greater than 7/10, the other factor must be greater than 1, as multiplying by a number greater than 1 increases the value of the original number. Let's evaluate the options:

Therefore, the correct answer is A. 4/3, since it is the only option greater than 1 and will result in a product greater than 7/10 when multiplied together.

Answer:

f = [tex]\frac{7}{15}[/tex]

Step-by-step explanation:

1. 4(4f - 9) = -(2-f)               distribute the negative

2. 4(4f - 9) = -2 + f           Distribute the 4

3. 16f - 9 = -2 + f            Subtract f on both sides

4. 15f - 9 = -2                  Add 9 on both sides

5. 15f = 7                 Divide both equations by 15

6. [tex]\frac{15f}{15} = \frac{7}{15}[/tex]  

f = [tex]\frac{7}{15}[/tex]

In expanded form, 57,000 equals 50,000 + 7,000 therefore, number 60 and 4 are NOT one of the numbers that Kim wrote.

The expanded form of a number is the division of a number into place values, such as ones, tens, hundreds, thousands, ten thousand, and so on.

The number represented by the sum of each digit multiplied by its place value is known as its expanded form. When you write a number in expanded form, you write the value of each digit and then add them together to find the sum.

The number 1,24 has the following values, for example: it is in the thousands place, the value of one is written as 1,00. thus it is in the hundreds place, the value of 2 is written as 20.

Therefore,

Expanded Form of 57,000

57,000 =  50,000 + 7,000.

Hence, In expanded form, 57,000 equals 50,000 + 7,000.

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Answer:

Step-by-step explanation:

Considering the given expressions

As we know that

Now, considering the expression

Here, the first term (monomial) i.e. [tex]7x^4\:[/tex] has the highest exponent of the variable. Here, the highest exponent is 4.

As the degree of the polynomial is said to be the highest degree of any of the terms.

Therefore, the degree of  [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex]  is 4.

The polynomial  [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] can also be called a quadrinomial as it has four terms.

Also considering the second expression

This expression is not a polynomial.

For an expression to be a polynomial, it must must have to carry

Therefore, the expression [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] is not a polynomial as the term      [tex]\frac{1}{x}[/tex] is not a polynomial as the the variable x is in the denominator.

Keywords: degree, monomial, polynomial, expression

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Answer:

1x + 0.5y = $150

Step-by-step explanation:

x = hot dog and each hot dog is sold for $1. We will multiply each hot dog  sold by $1.

y = soda and each soda is sold for $0.50. We will multiply each soda sold by $0.50.

Answer:

a. -1

Step-by-step explanation:

Simply the equation: 3x+x+8=4

1st step: 4x+8=4

2nd step: 4x=4-8

3rd step: x=[tex]\frac{-4}{4}[/tex]

4th step: x= -1

Question:

The image of the question is attached below.

Answer:

Volume of the bench = 528 cubic inches

Solution:

Side of the cube = 4 inch

Volume of a cube = side × side × side

                              = 4 inch × 4 inch × 4 inch

Volume of a cube = 64 cubic inches

Volume of 2 cubes = 2 × 64 cubic inches

Volume of 2 cubes = 128 cubic inches

Length of the prism = 25 inch

Breadth of the prism = 4 inch

Height of the prism = 8 – 4 = 4 inch

Volume of the rectangular prism = length × breadth × height

                                                       = 25 inch × 4 inch × 4 inch

Volume of the rectangular prism = 400 cubic inches

Volume of the bench = volume of 2 cube + volume of the rectangular prism

                                    = 128 cubic inches + 400 cubic inches

Volume of the bench = 528 cubic inches

Hence volume of the bench is 528 cubic inches.

Answer:528

Step-by-step explanation:

Answer:

130°

Step-by-step explanation:

A hexagon's angels should be 720°.

so we need to substract the outer angels to find the interior angels.

180-75=105

180-38=142

180-42=138

180-65=115

180-90=90

then we add them up with x and equal it to 720

105+142+138+115+90+x=720

720-590=x

x=130

a=130

Answer:

a = 130°

Step-by-step explanation:

The interior angle of a polygon is calculated as

180° - exterior angle, thus

180° - 75° = 105°

180° - 42° = 138°

180° - 65° = 115°

180° - 90° = 90°

180° - 38° = 142°

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

105 + 138 + 115 + 90 + 142 + a = 720, that is

590 + a = 720 ( subtract 590 from both sides )

a = 130

Answer:

C = -6

Step-by-step explanation:

1 +-7 =-6:::::::::::::::::::

Answer:

80% of the candies are without nuts.

9/45 = 0.2

0.2 = 20%

The remainder is 80%

Answer:

Dave drove 168 miles during the 2nd part of the trip

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of Dave for part of the trip = 55 mph

Speed of Dave the rest of the trip = 60 mph

Total time of the round trip = 4 hours 12 minutes

Total distance of the trip = 245 miles

2. How far did Dave drive during the 2nd part of his trip?

Let's recall that the formula of speed is:

Speed = Distance/Time, therefore Distance = Speed * Time

x = Time of part of the trip

4 hours 12 minutes - x = Time of the rest of the trip

4.2 hours - x = Time of the rest of the trip

Now, we can write solve for x, this way:

55 * x + 60 (4.2 - x) = 245

55x + 252 - 60x = 245

-5x = 245 - 252

-5x = -7

x = -7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8

1st part of the trip = 55 * 1.4 = 77 miles

2nd part of the trip = 2.8 * 60 = 168 miles

Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part

Answer:

part A) [tex]f=2.75p[/tex]

par B) [tex]38.5\ cups\ of\ flour[/tex]

Step-by-step explanation:

Part A)

Let

p ----> the number of pounds of cake

f ----> the number of cups of flour

we know that

A relationship between two variables, p, and f, represent a proportional variation if it can be expressed in the form [tex]k=\frac{f}{p}[/tex] or [tex]f=kp[/tex]

Find the value of k

For p=3, f=8.25 ----> [tex]k=\frac{8.25}{3}=2.75[/tex]

therefore

The linear equation is

[tex]f=2.75p[/tex]

Part B) we have

For p=14

substitute in the equation and solve for f

[tex]f=2.75(14)=38.5\ cups[/tex]

Answer:

72 Wrong, so find how many are right with 135 total

Step-by-step explanation:

It's similar to saying if she answered half and this continued how many would she have answered after answering a bigger number, you would say half.

so she answered 8/15 incorrectly a a smaller number, so she will answer that ratio with a bigger number.  If it helps 8/15 is about 53%. just like 1/2 is half.  So to find half you would multiply something by 1/2 and int he same way you multiply something by 8/15 to get that proportion of it.

so 135, if you take this 53%, or simply multiply it by 8/15 you get your answer of 72.  So 72 wrong so al others are right, which you get with 135-72 = 63.

You could also do 135*(1-8/15) = 135 * 7/15.  if you ever want to find something NOT part of the proportion you do 1 - that proportion.

Answer:

1.2 > n

Step-by-step explanation:

Step 1:  Solve for n

2 > n + 0.8

2 - 0.8 > n + 0.8 - 0.8

1.2 > n

Answer:  1.2 > n