3x - 5 = 7x + 11

x =

Answer:

The sum of the solutions = 1/2

Step-by-step explanation:

4m^2 - 2m - 6 = 0

Factor out 2

2( 2m^2 -m-3) =0

2 ( 2m-3)(m+1) =0

Using the zero product property

2m-3 =0           m+1 =0

2m =3              m=-1

m = 3/2              m=-1

Adding the solutions

3/2 -1

+3/2 -2/2

1/2

9514 1404 393

Answer:

  1/2

Step-by-step explanation:

A quadratic equations that has solutions p and q can be factored as ...

  (x -p)(x -q) = 0

When this is expanded, it becomes ...

  x^2 -(p+q)x +pq = 0

That is, the opposite of the x-coefficient is the sum of the solutions.

__

We can put your quadratic into this form by dividing by the leading coefficient, 4.

  (1/4)(4m^2 -2m -6) = 0

  m^2 -1/2m -3/2 = 0

The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.

Answer:

A

Hope I helped

Answer:

1) drinks = $10

2) food = $25

3) total = 7 parts

Step-by-step explanation:

1) 2×5=10

2) 5×5=25

3) 2part+5part=10part

Step-by-step explanation:

the other answer can be a bit confusing.

and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.

anyway, in questions like this you need to first clarify : how many parts are being used as the whole.

think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?

so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.

so the whole pizza was cut into 2+5 = 7 slices.

now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).

remember : we use division for that.

35/7 = $5

so, one slice (or part) of the whole $35 is $5.

since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10

and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25

and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.

Step-by-step explanation:

Since you can't directly solve for [tex]y[/tex] in this question, we will use substitution to solve for

[tex]{\large{\boxed{\mathbb{QUESTION}}}[/tex]  

What would y equal in this equation?

[tex]\begin{bmatrix}3+\frac{4}{1}y=5\\ x+2=0\end{bmatrix}[/tex]

[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:Y}}}[/tex]

[tex]3+\frac{4}{1}y=5[/tex]

First, we will subtract 3 from both sides of the equation

[tex]\frac{4}{1}y=2[/tex]

Simplify

[tex]{4}y=2[/tex]

Divide both sides by 4

[tex]y=\frac{1}{2}[/tex]

[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:X}}}[/tex]

[tex]x+2=0[/tex]

subtract 2 to both sides

[tex]x=-2[/tex]

[tex]{\large{\boxed{\mathbb{ANSWER}}[/tex]

_____________________________________

If we didn't use the method with substitution and had our equation being

[tex]3+\frac{4}{1y}=5x+2[/tex]

our answer would've been

[tex]y=\frac{-4}{-5x+1}[/tex], I highly doubt this would be the right answer.

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

47 gallons is you want the world wide web nya berarti aku 0you

Answer:

for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.

now,

slope (m1) = (y2-y1)/ (x2-x1)

or, m1= 0-(-3)/ 8-(-4)

or, m1=3/12=1/4

again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)

apply the same formula and find the slope(m2)

m2=6-2/-1-0

or, m2=4/-1

for b) m1 multiply m2

or 1/4 x 4/-1

=-1 so it is perpendicular

Step-by-step explanation:

for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.

while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.

similarly, if m1=m2 then it is considered to be parallel.

here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line

Answer:

sdgsehseh

Step-by-step explanation:

sehsdhsehsdhs

Answer:

Step-by-step explanation:

if the number is higher then 5 it goes over to the tenth

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex]x \sin(30) = 7 \\ x = \frac{7}{ \sin(30) } \\ x = 7 \times 2 \\ x = 14[/tex]

Answer:

Step-by-step explanation:

(4.83)² × 6√0.276 / 3.27 =

23.3289 × 6(0.5254) / 3.27 =    (rounded)

22.49 (rounded)

Answer:

10/5 - 4

Step-by-step explanation:

you have to write down what you understand from the sentence.

First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.

10/5 - 4

Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.

Answer:

x can equal any number between 0 and 8. This also includes 8.

Step-by-step explanation:

As noted in the problem, x is more than -1 (x > -1)

So we can infer that -1 and anything past it to the left is not a viable answer.

As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///

It will look something like this.

        It will stop here --v

---•---|---|---|---|---|---|---|---•---

  0  1   2  3  4  5  6  7   8

(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)

Answer:

4.75 is about -5(40) =-200, and 340-200=40

Step-by-step explanation:

Answer:

y as well will increase as x value increases bc x is a whole number and y intercept is positive 4

It is found that as the x value increases then the y value will also increase.

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have been given the equation as y = x² + 4

when the value of x is 0 then the value of y will be;

y = x² + 4

y = 0 + 4

y = 4

when the value of x is 1 then the value of y will be;

y = 1² + 4

y = 1 + 4

y = 5

Also when the value of x is 2 then the value of y will be;

y = 2² + 4

y = 4 + 4

y = 8

Thus we can conclude that as the x value increases then the y value will also increase.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

The probability that the bill will be less than $100 is 7%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean\\\\\\Given\ that\ \sigma=32,\mu=147,hence:\\\\For\ x<100:\\\\z=\frac{100-147}{32}=-1.47[/tex]

From the normal distribution table, P(x < 100) = P(z < -1.47) = 0.0708 = 7.08%

The probability that the bill will be less than $100 is 7%

Find out more at: https://brainly.com/question/15016913

Answer:

4/9

Hope i helped

well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.

we can also say that √2 * √7 is √(14), which is also irrational.

However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.

#1

[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]

[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]

#2

[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]

#3

[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]

[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]

Answer:

1. Diameter of a semicircles =14cm

Radius or semicircle =7cm

*Area if circle =pi radius 2

=22/7 × 7×7cm 2

=154cm 2

But semicircle is half if a circle so,

Area of a semicircle =1/2 ×154cm2

=77cm2

2. Radius of the circle =1cm

Area of the circle=pi radius 2

=3.14×1×1

=3.14cm2

3.Diameter of a circular lawn=10m

Radius of the circular lawn =5m

Area of the circular lawn =pi radius2

=3.14×5m×5m

=78.5m2

Answer:

3

Step-by-step explanation:

Answer:

D) 14.2

Step-by-step explanation:

Answer:

352/7  is answer

Step-by-step explanation:

Answer:

It should be BOC

Step-by-step explanation:

this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )

so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.

Also, the measure of BOC (angle) should be 53°

Answer:

B

B

B

Step-by-step explanation:

Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer

Answer:

6/16

Step-by-step explanation:

there are 6 chances for it to be a double success out of a total 16 tries

Answer:

a) 3.50x + 1.75y=21 b) 6 c) 12 d) yes e) no

Step-by-step explanation:

A) you take the cost of the beads and add a variable the cost is per pound and you don't know how many pounds there are.

B) 3.50x = 21 you divide 3.50 on both side to get the variable alone and get how much pounds George gets.(blue beads)

C) 1.75y = 21 it is the exact process as the last but with the red beads instead

D) you take the equation you got and sub in the 4's in for the variables and you get 21

E) You do the same thing that was done in D (make sure you look at what they lbel it so you don't numbers in the wrong spot.)

Answer:

the answer is 8

Step-by-step explanation:

1. plug in 5 where there is an x: 4(5-3)+5(5)-[tex]5^{2}[/tex]

2. solve everything out and cancel: 4(2)+25-25

3. 4(2)=8

Step-by-step explanation:

Given that:

Evaluate 4(x-3)+5x-x^2 for x = 5

⇛4(5-3)+5(5)-5²

⇛4(2) + 25 - 5*5

⇛8 + 25 - 25

⇛8 - 0

⇛8 Ans

Read more:

Similar questions

Evaluate the expression 3 4/5x − 2 1/2 for x = −5.

https://brainly.com/question/13793815?referrer

Answer:

Rate of change problem:

theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.

So you can divide.

10 gallons, 23 dollars

23 ÷ 10 = $2.30

$2.30 per gallon of gasoline.

Now we multiply by 15 to find how much will 15 gallons will cost.

2.3*15= $34.5

or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.

So we can make x unknown price.

So we know its 10 gallons for 23 dollars

we want to know how much it would be for 15 gallons

So we can do it like gallon/ price = gallon/ price

ex:

10/23 = 15/x

Make sure it’s lined up correctly

Now just cross multiply and solve for this proportion

10x= 345

now solve

x= 34.5

same answer

Answer:

Step-by-step explanation:

[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27

[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3

[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25

[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]

Answer:

[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]

Step-by-step explanation:

[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]