Which expression is equivalent to 7x + 5x?

a. 12x
b.12x^2
c. 35x
d. 35x^2

Answers

Answer 1

Answer:

12x

Step-by-step explanation:


Related Questions

The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that relates the values of a,b, and c in y=ax^2+bx+c to the values of a,h, and k in y=a(x−h)^2+k. For instance, h=ax+b would be a formula that relates h to a and b.

Answers

Answers:

[tex]h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

The x coordinate of the vertex is h which is found through this formula

[tex]x = -\frac{b}{2a}[/tex]

For example, if we had the quadratic [tex]y = 3x^2-6x+5[/tex], then we'll plug in a = 3 and b = -6 to get: [tex]h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1[/tex]

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

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

[tex]y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\[/tex]

[tex]k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]

It's interesting how we end up with the numerator of [tex]-b^2+4ac[/tex] which is similar to [tex]b^2-4ac[/tex] found under the square root in the quadratic formula. There are other ways to express that formula above. We need [tex]a \ne 0[/tex] to avoid dividing by zero. The values of b and c are allowed to be zero.

Answer:

The minimum is at (1,-8). In the equation y = (x – 1)2 – 8, h = 1 and c = 8. So, the x-coordinate of the minimum is the same as the h-value in the equation, and the y-value of the minimum is the opposite of the c-value.

Step-by-step explanation:

plato

Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen’s mother want one adult for every 25 of her friends. The cost of food is $20 for every four of her friends, and the adults eat for free. If a total of 116 people (including Karen and her mother) go to the party, how many are adults and how many are Karen’s friends? How much will the food cost?

Answers

The party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Since Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen's mother want one adult for every 25 of her friends, and the cost of food is $ 20 for every four of her friends, and the adults eat for free, if a total of 116 people (including Karen and her mother) go to the party, to determine how many are adults and how many are Karen's friends and how much will the food cost, the following calculations must be performed:

26 (25 friends and one adult) + 26 (25 friends and one adult) + 26 (25 friends and one adult) + 26 (25 friends and one adult) + 12 (10 friends + Karen and her mother) = 116 = 5 adults + 111 friends and Karen 111/4 x 20 = X 555 = X

Therefore, the party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Learn more about maths in https://brainly.com/question/25865591

A box contains 8 red balls and 8 black balls. A
woman takes balls out at random without looking at
them. Once a ball is taken out it is not replaced back in
the box. How many balls must she select to be sure of
having at least three balls of the same color?

Answers

Answer:

At least 5 times

Step-by-step explanation:

Number of balls to be selected for having assurance of at least three balls of the same colour is equals to 5 balls.

What is without replacement ?

" Without replacement means if an item is drawn from the set of items it is not kept back which represents sample space is decrease by as per the number of selection is done in first draw."

According to the question,

Number of red balls in a box = 8

Number of black balls in a box =8

As per the condition of without replacement we get,

In this case worst selection case could be

Alternate balls are of different colour

Black →Red → Black → Red → fifth ball is either Red or Black

Hence, 5balls must be selected for assuring at least three balls of the same colour .

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Find the perimeter and area of the figure below.

Answers

Answer:

A: 312  P: 80

Step-by-step explanation:

Answer:

A=120, P=60

Step-by-step explanation:

a) A triangular plot is being constructed having its base twice to its altitude. What will be the base and altitude of the plot if the cost of levelling it at the rate of ₹25 per square meter is ₹11,025.

b)If the same plot from above question is being reconstructed into a square field, having the same area, then find the perimeter of square


THE BEST ANSWER WILL BE MARKED BRAINLIEST PLEASE GIVE PROPER ANSWER
THANK U

Answers

The base and altitude of the triangular plot are [tex]42m[/tex] and [tex]21m[/tex] respectively.

The perimeter of the square plot having the same area as the triangular plot is [tex]84m[/tex]

a) Calculate the base and altitude of the triangular plot

The relationship between the Total cost of leveling the triangular plot, the cost per unit area, and the area of the triangular plot is

[tex]\text{unit cost}=\frac{\text{total cost}}{\text{area}}\\\\\text{area}=\frac{\text{total cost}}{\text{unit cost}}\\\\=\frac{\text{11025Rs.}\rupee}{25Rs./m^2}=441m^2[/tex]

The formula for calculating the area of a triangle, given the base and altitude is

[tex]\text{area of triangle}=\frac{1}{2}\text{base}\times\text{altitude}[/tex]

From the question

[tex]\text{base}=2\times\text{altitude}[/tex]

so

[tex]\text{area of triangle}=\frac{1}{2}\times 2\times\text{altitude}\times\text{altitude}\\\\\text{area of triangle}=\text{altitude}^2\\441=\text{altitude}^2\\\text{altitude}=\sqrt{441}=21m[/tex]

from this we can get the base

[tex]\text{base}=2\times\text{altitude}\\=2\times21m=42m[/tex]

b) Calculate the perimeter of a square plot having the same area

Since we found the area of the triangular plot to be [tex]441m^2[/tex], we will use this value for the area of the square plot, so that we can obtain the side

[tex]\text{area of square plot}=side^2\\441=side^2\\\sqrt{441}=side=21m[/tex]

Hence, the perimeter is equal to

[tex]perimeter=4\times side\\=4\times21=84m[/tex]

Learn more about area here: https://brainly.com/question/1447350

What is the simplified expression for 6^4.6^3 over 6^5
6^1
6^2
6^3
6^7

Answers

Answer:

6^2

Step-by-step explanation:

Question:-To simplify the given expression

Expression:-[tex] \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]Solution:-

[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]

[As we know, a^x . a^y = a^(x+y)]

[tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]

[On Simplification]

[tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]

[As we know, a^x / a^y = a^(x-y)]

[tex] = {6}^{(7 - 5)} [/tex]

[On Simplification]

[tex] = {6}^{2} (ans)[/tex]

Which of the following is a solution of x2 + 2x + 4?

Answers

Answer:8x

Step-by-step explanation:

2++2=4 add x up 4 = 8x

Do you mean 2x for the first term or x^2? If the first term is 2X then the solution would be 4x+4. If the first term is not 2x but x^2 instead, then there is no solution for it

Can anyone help me convert these??

What is 76ml of milk in cups, tablespoons, or teaspoons?

What is 38g of Egg yolk in cups, tablespoons, or teaspoons?

What is 78g of Egg white in cups, tablespoons, or teaspoons?

I'm trying to make something that is Japanese but they don't use cups, tablespoons, or teaspoons. My math keeps going wrong and my PC wont convert them for me

Answers

Answer:

0.321233-cups, 0.321233-tablespoon, 0.321233-teaspoon

Step-by-step explanation:

the next 2 questions I can't convert because I don't have grams

Answer:

76ml= 0.321233 cups

76ml = 5.13973 tablespoons

76ml = 15.4192 teaspoons

38g = 0.139 cups

38g = 2.224 tablespoons

38g = 6.672 teaspoons

78g = 0.349 cups

78g = 5.584 tablespoons

78g = 16.752 teaspoons

Step-by-step explanation:

I think thats right

What are the domain and range of the function below? Domain[0, ∞). range (-∞, ∞). Domain[0, ∞). Range (-∞,4). Domain(0,4). Range (-∞, ∞). Domain(-∞,4]. Range[0, ∞).

HELP IMMEDIATELY PLEASE

Answers

Answer:

Domain[0, ∞). Range (-∞,4).

Step-by-step explanation:

domain is your lowest x (zero) to your highest x (infinity)

range is the lowest y (negative infinity) to your highest y (four)

Answer:

its b

Step-by-step explanation:

winch one is biger
4/9 0r 1/12

Answers

Answer:

4/9

Step-by-step explanation:

I did the butterfly method to see which one is the bigger one

Answer:

4/9

Step-by-step explanation:

Determine the equation of the line for the given information: The graph has y-intercept (0, 6) and contains the point (2, 1). a. y = 2.5 x + 6 b. y = negative 2.5 x + 6 c. y = 6 x + negative 2.5 d. y = 2 x + 6 Please select the best answer from the choices provided A B C D

Answers

The equation of the line for the graph that has y-intercept (0, 6) and contains the point (2, 1) is; y = -2.5x + 6

What is the Equation of the Line in Slope Intercept form?

The general form of the equation of a Line in Slope Intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

We are told that the graph has the points (0, 6) and (2, 1). Thus, the formula for slope is;

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 6)/(2 - 0)

m = -5/2

m = -2.5

Now, since the y-intercept is at (0, 6), then it means that;

c = 6

Thus, the equation of the line is; y = -2.5x + 6

Read more about slope intercept form at; https://brainly.com/question/1884491

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Will mark brainly!! :)

Answers

Answer:

(2,1)

Step-by-step explanation:

The answer is (2,1)

find the circumference of a cd that has an diamater of 5 round your andwer to the nereast tenth

Answers

Answer:

15.7

Step-by-step explanation:

C = 2πr

C = 2(3.14)(2.5)

C = 15.7

3. If the diameter of “Frosty the Snowman’s” hat is ten inches, what’s the radius?

Answers

The radius is 5 inches

Convert 45 mi/hr to feet per minute

Answers

Answer:

3960

Step-by-step explanation:

multiply 45 by the amount of feet in a mile (5280)

take that answer and divide in by how many minutes are in an hour

The cost of an Uber is $8.00 plus $1.25 per
mile. Write a function, f(x), to determine the cost of an x-mile Uber ride.

Answers

Answer:

Cost = 8 + 1.25x

Step-by-step explanation:

PLEASE HELP!! find the value of x. attached image.

Answers

Answer:

x     =   4.712145

Step-by-step explanation:

Given a=20 and b=28,

c = 4√74 = 34.409301068171

∠α = 35.538° = 35°32'16" = 0.62025 rad

∠β = 54.462° = 54°27'44" = 0.95055 rad

Area = 280

Perimeter = 82.409301068171

_____________________________________

Let's solve your equation step-by-step.

9x−8=34.409301

Step 1: Add 8 to both sides.

9x−8+8=34.409301+8

9x=42.409301

Step 2: Divide both sides by 9.

[tex]\frac{9x}{9} =\frac{42.409301}{9}[/tex]

x=4.712145

Answer:x=4.712145

23 base 10+1011 base 2=​

Answers

Answer:

10111

Step-by-step explanation:

10111

Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region

Answers

Area of the shaded part of the overlapping region is 34 sq cm

To start with, we are told that the two shapes are squares. This means that they have the same length and breadth. From the diagram, we can see that one of the sides  of the squares is 17 cm. This means that the squares are a square of 17cm in length.

If the original length is 17, and the overlapped length of the figure we have is 30 cm. Then we can say that since there exist 2 squares, 30/2 = 15 cm. If the overlapped length is 15 cm, this means that the part that is shaded is 2 cm in length.

Applying area of a rectangle formula

length * breadth = 17 * 2 = 24 cm²

to learn more about area of  shaded regions, see here https://brainly.com/question/10090807

Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.

Answers

Answer:

well i dont know this sorry

Step-by-step explanation:

helppp pleaseeeeee I don’t understand

Answers

Answer: x=32, y=45, z=45

Step-by-step explanation:

Now, x is cut in half on a flat plane which is a supplementary angle (2 angles that add up to 180 degrees) so just subtract 148 from 180 and you get 32.

Since a line cuts y and z equally in half and the line it is connected to is perpendicular (right angle), we can safely say both angles are equal to 45 degrees.

find the total amount due on a loan of $5000 for eight years and 10% simple interest

Answers

Answer:

170years

Step-by-step explanation:

R/100=2.5%

time= 100=0.025 per year (1/0.025) (5200\1000)-1=168

time=168 years

ASAP HELP *Can a triangle have sides with the given lengths? Explain, showing all the work
9 cm, 11 cm, 15 cm
please Explain

Answers

Answer:

yes

Step-by-step explanation:

For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side

9 + 11 = 20 > 15

9 + 15 = 24 > 11

11 + 15 = 24 > 9

The 3 sides given will form a triangle

Note that

The length of any two sides must be greater than the third side

So

9+11=16>1511+15=26>99+15=24>11

Yes it's a triangle

Last week antione had a begging balance of $90 in his account he wrote 3 checks for $10 each from his checking account , withdrew another $20 and finally made a deposit of $100. Write an expression that shows his final account balance at the end of the week

Answers

Answer:

$140

Step-by-step explanation:

90-(3x10)-20+100= 140

He started with $90: (90)

Then he wrote 3 checks of $10 each: -(3x10)

Then he withdrew $20: -20

Finally, he made a deposit of $100: +100

Thus, our equation would be: 90-(3x10)-20+100=

(You might want to simplify this expression; giving you 140)

Helpppppppppp asappppppppp 20 points

Answers

Here’s a small hint: “miles per hour”

Put the amount of miles over the amount of hours then calculate the amount from there! It’s either the 2nd option or the 4th one! Hope it’s helpful!

Answer:

i say its c

Step-by-step explanation:

Dez was called to solve a problem on the whiteboard in class. His work is shown below.

0.8 × Four-fifths

8/10 × 4/5 = 32/5

StartFraction 32 over 5 EndFraction = 6Two-fifths

Is the answer shown reasonable?

(A) The answer is reasonable because 0.8 was converted to an equivalent fraction.
(B) The answer is reasonable because it is greater than both factors.
(C) The answer is not reasonable because 4/5 of a number should be less than the number.
(D)The answer is not reasonable because StartFraction 32 over 5 EndFraction does not equal 6Two-fifths.

HELP ME PLZ!!!!!

Answers

Answer:

C. The answer is not reasonable because 4/5 of a number should be less than the number

Step-by-step explanation:

On Edge

What two expressions are equivalent to 6.5 divided by 1.3?

Answers

Answer:

65/13

650/130

Step-by-step explanation:

6.5/1.3

times 10: 65/13

times 100: 650/130

Find the value of x

Answers

Answer:

x = 8

Step-by-step explanation:

is an isosceles triangle, so 12 = x + 4

12 = x + 4

x = 12- 4

x = 8

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

check

12 = 8 + 4

12 = 12

the answer is good

8(3x – 6) = 6(4x + 8)

Answers

Answer: 0 = 96

Step-by-step explanation:

Answer:

The Answer is 0=96

Describe the translation in j(x)=(2x)+3 as it relates to the graph of the parent function?

Answers

Answer:

Horizontal compression by a factor of 2 followed by a vertical shift by positive 3

Step-by-step explanation:

a*f(k(x-d))+c

k=2

c=3

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