Find two consecutive even integers such that six times the first equals five times the second.

Hey there!☺

[tex]Answer:\boxed{x=2}[/tex]

[tex]Explanation:[/tex]

[tex]3(-x+4)=7x-8[/tex]

Let's start by simplifying both sides. First, we distribute.

[tex](3)(-x)+(3)(4)=7x+-8[/tex]

[tex]-3x+12=7x+-8[/tex]

[tex]-3x+12=7x-8[/tex]

Now let's subtract 7x from both sides.

[tex]-3x+12-7x=7x-8-7x\\-10x+12=-8[/tex]

Now we will subtract 12 from both sides.

[tex]-10x+12-12=-8-12\\-10x=-20[/tex]

In our last/final step, we will divide both sides by -10.

[tex]\frac{-10x}{-10}=\frac{-20}{-10}[/tex]

Now simplify -20/-10.

[tex]-20/-10=2[/tex]

[tex]x=2[/tex]

Hope this helps!

Answer:

D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.

Answer:

Rational numbers is the correct answer for this.

Step-by-step explanation:

Rational numbers is the best and correct answer.

I assume we're solving for n.

3n/7 - 1 = 1/8.

First, add 1 to both sides.

3n/7 = 9/8

Now, let's multiply both sides by 7

3n = 63/8

Divide both sides by 3

n = 21/8

Answer:

180000 Meters per hour

Step-by-step explanation:

3 kilometers × 60 minutes (1 hour) = 180 kilometers per hour and then convert kilometers to meters

Answer:

The car's speed is 180,000 meters per hour.

Step-by-step explanation:

(3 km)/min×(1000 m)/(1 km)×(60 min)/(1 hr)=180,000 m/hr

Answer:

4,4,64,larger,larger,would

Step-by-step explanation:

Begin by finding the dimensions of the poster. Since it is in the shape of a​ square, each edge will be the same length. and 16 divided by 4 is 4 and then you do 16 x 4 you get 64 and then you know is the box larger or not in this case the box is larger.

Answer:

[tex]x=2i-2,\:x=-2i-2[/tex]

Step-by-step explanation:

[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]

[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]

Answer: a

Step-by-step explanation:

Step-by-step explanation:

2.370.

One cubic foot equals 1728 cubic inches. So, to convert from cubic inches to cubic feet you should divide your cubic inches figure by 1728.

I hope it helps!

Answer:

x = ±√17

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other.

Also note that the x has a power of 2. To isolate the x, simply root both sides of the equation.

x² = 17 ; √x² = √17 ; x = ±√17

~

Answer:

The answer to the picture is 19 square units if I remember correctly.

Step-by-step explanation:

The missing side of the triangle is measure 13 cm.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two sides of right triangle are,

⇒ 5 cm, 12 cm

Since, The triangle is a right triangle.

So, We can apply the Pythagoras theorem as;

Let the measure of missing side = x

⇒ x² = 5² + 12²

⇒ x² = 25 + 144

⇒ x² = 169

⇒ x = √169

⇒ x = 13 cm

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Answer:

It would be 2.62

Step-by-step explanation:

Answer:

Step-by-step explanation:

22 - 55 + 4x = 2x + 7

4x - 33 = 2x + 7

2x - 33 = 7

2x = 40

x= 20

22 - 55 + 4(20) = 2(20) + 7

80 - 33   = 40 + 7

  47 = 47

answer is B

Answer:

The answer is B

Step-by-step explanation:

Answer:

15

Step-by-step explanation:if you take a way five from 20 you get 15 because 20-5 is 15

if you start at 1 and go to twenty 5 before that is 15

Answer:

False.

Step-by-step explanation:

0.297x7.1=2.1087

2.1087+20790= 20792.1087

Answer:

2.947

2.946

2.948

2.949

2.945

Step-by-step explanation:

all decimal points are 5 or greater so you round up.

Answer:2.9477843782957987827878

Step-by-step explanation:

Step-by-step explanation:

7p=8+4

7p=12

p=12/7

the correct answer is option A

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

Solve using Surd

[tex] \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} [/tex]

The expression 3√5 will be equivalent to a square root of 45.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the expression √(45)

⇒ √(9×5)

⇒ √(3²×5)

⇒ √(3²)√(5)

Since the square root of a square is the same number

So,

⇒ 3√5

Hence "The expression 3√5 will be equivalent to a square root of 45".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ5

Answer:

It is 4

Step-by-step explanation:

Answer:

65 feet = L

Step-by-step explanation:

set up equation

P = 2L + 2W

plug in W

214 = 2L + 2(42)

multiply

214 = 2L + 84

subtract 84

130 = 2L

divide by 2

65 = L

Answer:

Step-by-step explanation:

-40 - 5 = -45

answer is D

Answer:

D

Step-by-step explanation:

It's D on Enginuity

The graph of the function in the coordinate plane is f(x) = –5x – 19.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

As per the given diagram:

The x intercept of the line = -ve

The y intercept of the line = -ve

For f(x) = 3x - 11

x intercept = +ve

y intercept = -ve

Hence, not possible

For f(x) = -4x + 12

x intercept = +ve

y intercept = +ve

Hence, not possible

For f(x) = 4x + 13

x intercept = -ve

y intercept = +ve

Hence, not possible

For f(x) = -5x - 19

x intercept = -ve

y intercept = -ve

Hence, possible

The function plotted on the coordinate plane is f(x) = –5x – 19.

To learn more on Graphs, click:

brainly.com/question/17267403

#SPJ7

Answer:

13x + 3

Step-by-step explanation:

9x + 4x + 8 -5

13x + 3

Just multiply (x + 2) by 4

and add simply.

I hope now you got it.

The differenceeof two numbers is just another name for subtraction.

c - (7 - 6)

We can even simplify this expression further.

c - 1

Answer:

what r u tryna figure out

Answer:

B

Step-by-step explanation:

II stands for 2 in roman numerals

18/5 turns into 3 3/5

4.66666666666666 is just what it is

square root of 30 is in between 5 and 6 so yeah

[tex]f(0) = 2 \cdot 0 - 3 = 0 - 3 = -3\\f(-2) = 2 \cdot (-2) - 3 = -4 - 3 = -7\\f(5) = 2 \cdot 5 - 3 = 10 - 3 = 7[/tex]

Answer: The greatest common denominator is 14