1/2x + 1/2x = x + 1 Plzzz help

Answer:

14 \(u^2\)

Step-by-step explanation:

The attached image shows the diagram of the triangle drawn on the Cartesian plane.

We can see that it has the following measures:

base: \(b=7u\)

height: \(h=4u\)

the area of a triangle is given by the formula:

\(A=\frac{b*h}{2}\)

substituting the values:

\(A=\frac{(7u)(4u)}{2}\\ \\A=\frac{28u^2}{2} \\\\A=14u^2\)

the area, in square units, of the triangle is 14

If the rate of change of f at x=c is twice the rate of change at x=1, then c=4.

What is derivatives?

In calculus, the derivative is a mathematical concept that measures how a function changes as its input changes.

We can start by finding the derivative of f(x) using the power rule:

f'(x) = \((1/2)x^{(1/2)}\)

Then, we can find the rate of change of f at x=c by evaluating f'(c). Similarly, we can find the rate of change of f at x=1 by evaluating f'(1). We know from the problem that the rate of change at x=c is twice the rate of change at x=1, so we can write:

f'(c) = 2*f'(1)

Substituting the expressions for f'(c) and f'(1), we get:

\((1/2)c^{(-1/2)}\) = 2*(1/2)*\((1)^{(-1/2)}\)

Simplifying the right-hand side, we get:

\((1/2)c^{(-1/2)}\) = 1

Multiplying both sides by 2 and taking the reciprocal, we get:

\(c^{(1/2)}\) = 2

Squaring both sides, we get:

c = 4

Therefore, c = 4.

To  learn more about derivatives from the given link:

https://brainly.com/question/30365299

#SPJ1

Answer: 6(x+2)(x-5)

Step-by-step explanation:

1: Factor by grouping- A 6 can be distributed in all 3 terms, when we do this we get 6(x²-3x-10).

2: This is in the form 6(x²+bx+c). So, to continue factoring, just forget about the six for a while and find two factors of c that add up to b. These two factors are -5 and 2.

3: Fill in the blanks with either factor. (x+?)(x+?) We get (x+2)(x-5).

4: Bring back the 6 to the beginning of the equation to get a final answer of 6(x+2)(x-5).

Answer:

Top left

Step-by-step explanation:

A function means that each domain (x value) can only have 1 range (y value). Also, I'm not sure if you can recognize it, but that option is actually a parent function (y = x^2)

Answer: the 4 one

Step-by-step explanation:

hope this helped!

The fraction that represents the part of the whole cake each child receives is 4/25

from the question, we have the following parameters that can be used in our computation:

Five children divide 4/5 of a cake equally

The fraction that represents the part of the whole cake each child receives is calculated as

Fraction = 4/5 divided by 5

Mathematically, this can be represented as

Fraction = (4/5)/5

When the fraction is then evaluated, we have the solution to be

Fraction = 4/25

Hence, the solution is 4/25

Read more about fraction at

https://brainly.com/question/17220365

#SPJ1

Answer:

Step-by-step explanation:

d or b

The nature of the roots of the quadratic equation 9x2 12x + 4 is that it has one root, which is equal to -4.

The nature of the roots of a quadratic equation is determined by its discriminant (b2 – 4ac). The discriminant of the given equation 9x2 12x + 4 is (12)2 – 4(9)(4) = 144 – 144 = 0.

Since the discriminant is equal to zero, the equation has two equal (or identical) roots. This indicates that the equation has one root since its roots are equal. We may apply the quadratic formula to get the equation's root.

The quadratic formula states that the roots of a quadratic equation can be found by solving the equation:

x = (-b ± √(b2 – 4ac))/2a

When we apply the formula to the given equation, we get:

x= (-12 ± √(0))/2(9)

Since the discriminant is equal to zero, the equation has one root. The root of the equation is x = -4.

Therefore, the nature of the roots of the quadratic equation 9x2 12x + 4 is that it has one root, which is equal to -4.

To know more about Quadratic equations visit:

https://brainly.com/question/30098550

#SPJ4

Answer: no

Step-by-step explanation: here are all the ratios equivalent to 18:6 18 : 636 : 1254 : 1872 : 2490 : 30108 : 36126 : 42144 : 48162 : 54180 : 60198 : 66216 : 72234 : 78252 : 84270 : 90288 : 96306 : 102324 : 108342 : 114360 : 120378 : 126396 : 132414 : 138432 : 144450 : 150468 : 156486 : 162504 : 168522 : 174540 : 180558 : 186576 : 192594 : 198612 : 204630 : 210648 : 216666 : 222684 : 228702 : 234720 : 240738 : 246756 : 252774 : 258792 : 264810 : 270828 : 276846 : 282864 : 288882 : 294900 : 300918 : 306936 : 312954 : 318972 : 324990 : 3301008 : 3361026 : 3421044 : 3481062 : 3541080 : 3601098 : 3661116 : 3721134 : 3781152 : 3841170 : 3901188 : 3961206 : 4021224 : 4081242 : 4141260 : 4201278 : 4261296 : 4321314 : 4381332 : 4441350 : 4501368 : 4561386 : 4621404 : 4681422 : 4741440 : 4801458 : 4861476 : 4921494 : 4981512 : 5041530 : 5101548 : 5161566 : 5221584 : 5281602 : 5341620 : 5401638 : 5461656 : 5521674 : 5581692 : 5641710 : 5701728 : 5761746 : 5821764 : 5881782 : 5941800 : 600

https://goodcalculators.com/ratio-calculator/

© 2015-2021 goodcalculators.com

Answer:

yes

Step-by-step explanation:

18:6

18/6=3

6/6=1

3:1 is a simpler version of 18:6

Answer:

8y+5x

If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!

Answer:

The first step that we need to do is to combine like terms which means to add up all of the terms that have similar variables assigned to them.

\(4y + 6y + 5x - 2y\)

\((4y + 6y - 2y) + 5x\)

\(8y + 5x\)

Therefore, our final answer is \(8y + 5x\)

Hope this helps!  Let me know if you have any questions

Answer:The second option is correct

Step-by-step explanation:

Answer:

The fourth person is 34 years old.

Step-by-step explanation:

Step 1: Find ages of the 3 people running for election

42*3=126  Their ages combined is 126.

Step 2: Find the ages of the 4 people running for election.

40*4=160

Step 3: Subtract the two ages.

160-126=34.  

The 4th person is 34.

The solution to this pair of equations is the point (2, -1).

To learn more about linear equations graphically refer to:
https://brainly.com/question/14323743

#SPJ1

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x = - 3, y = - 11

Step-by-step explanation:

Given the 2 equations

y = 7x + 10 → (1)

y = - 4x - 23 → (2)

Substitute y = 7x + 10 into (2)

7x + 10 = - 4x - 23 ( add 4x to both sides )

11x + 10 = - 23 ( subtract 10 from both sides )

11x = - 33 ( divide both sides by 11 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(- 3) + 10 = - 21 + 10 = - 11

Answer:

20079.05 cm^2,

Step-by-step explanation:

Surface area of the box without the lid

=  90*42 + 2(90*34) + 2(42*34) = 12756.

Now find Surface area of the half cylinder:

The diameter of the 2 half circles = 42 so the radius = 21.

The area of the lid  

= 2 + 1/2 π (21)^2 + π r * 90

= 7323,052

Total = 20079.052

Answer:

x ( \(\frac{1}{2}\) b, \(\frac{1}{2}\) c )

Step-by-step explanation:

x is the midpoint of PQ and its coordinates are the average of the coordinates of the endpoints P and Q , then

x = (\(\frac{b-0}{2}\), \(\frac{c-0}{2}\)  ) = ( \(\frac{1}{2}\) b, \(\frac{1}{2}\) c )

To determine the Mean Absolute Deviation (MAD), we need the actual sales data and the forecasted values. Since the actual sales data is not provided, it is not possible to calculate the MAD accurately.

MAD is calculated by taking the average of the absolute differences between the forecasted values and the actual values. Without the actual sales data, we cannot compute the absolute differences and find the MAD.

To calculate the MAD, you will need the actual sales data and the corresponding forecasted values for each day. Then, you can calculate the absolute differences between the actual and forecasted values, take their average, and round the result to two decimal places to obtain the MAD.

To know more about Deviation visit-

brainly.com/question/31314442

#SPJ11

the exact value of sec(13π/6) is -2√3 / 3.

What is Unit circle?

The unit circle is a circle with a radius of 1 unit, centered at the origin (0, 0) in a Cartesian coordinate system. It is often used in mathematics and trigonometry to understand the relationships between angles, coordinates, and trigonometric functions.

To find the secant (sec) value for the angle 13π/6, we can use the unit circle and the definition of the secant function.

The secant function is defined as the reciprocal of the cosine function. Therefore, to find sec(13π/6), we need to find the value of the cosine function at 13π/6 and take its reciprocal.

On the unit circle, the angle 13π/6 falls in the third quadrant. Let's visualize it:

To find the cosine value at 13π/6, we can find the x-coordinate of the corresponding point on the unit circle. In the third quadrant, the x-coordinate is negative.

The reference angle for 13π/6 is π/6. The cosine value at π/6 is √3/2. However, in the third quadrant, the cosine value is negative. Therefore, the cosine value at 13π/6 is -√3/2.

Now, we take the reciprocal of -√3/2 to find the secant value:

sec(13π/6) = 1 / cos(13π/6) = 1 / (-√3/2) = -2/√3

To rationalize the denominator, we multiply the numerator and denominator by √3:

sec(13π/6) = (-2/√3) * (√3/√3) = -2√3 / 3

Therefore, the exact value of sec(13π/6) is -2√3 / 3.

To know more about Unit circle visit:

https://brainly.com/question/31385923

#SPJ4

Answer:

it on web I had this question once

Step-by-step explanation:

put it in web and you be find

The amount that Sam get (the share of Sam) is £120

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or \(\dfrac{a}{b}\)

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

\(a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3\)

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Same thing happens for 3 quantities and more such quantities.

So if its given that Oli, Sam, and Tim's share (total  £360) are in the ratio 3:2:1, that means some common factor (lets call it 'x') must be cancelled off as 3+2+1 don't equate to 360.

So, we have:

Their total evaluates to 360 (in euros).

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, we get:

\(3x + 2x + x = 360\\(3+2+1)x = 360\\6x = 360\\\\\text{Dividing both the sides by 6}\\\\\dfrac{6x}{6} = \dfrac{360}{6}\\\\x = 60\)

Thus, we get:

Thus, the amount that Sam get (the share of Sam) is £120

Learn more about ratio here:

brainly.com/question/186659

a. There must be two selected numbers that sum to 15.

b. We cannot guarantee that there are two distinct subsets with the same sum in this case.

According to the pigeonhole principle, at least one container must have more than one item if n things are placed into m containers, where n > m.

(a) To show that two of the selected numbers must sum to 15 from a set of 8 numbers chosen from {1, 2, ..., 13, 14}, we can use the Pigeonhole Principle.

We have 14 numbers in the set {1, 2, ..., 13, 14}, and we need to select 8 numbers from this set. The possible sums of any two numbers from this set range from a minimum of 1 + 2 = 3 to a maximum of 13 + 14 = 27.

Since we have 8 selected numbers but only 7 possible sums (3, 4, ..., 10, 11, 12, 13), by the Pigeonhole Principle, at least two of the selected numbers must have the same sum. The only sum that is missing from the possible sums is 15. Therefore, there must be two selected numbers that sum to 15.

(b) In the case of 14 3-digit numbers in a list, we cannot conclude that there are two distinct subsets of the 14 numbers with the same sum. This is because the range of possible sums for two distinct 3-digit numbers ranges from a minimum of 100 + 100 = 200 to a maximum of 999 + 998 = 1997.

Since the range of possible sums (200 to 1997) exceeds the number of distinct subsets of the 14 numbers (2¹⁴ = 16,384), it is possible for each subset to have a unique sum. Therefore, we cannot guarantee that there are two distinct subsets with the same sum in this case.

Learn more about Pigeonhole principle on:

https://brainly.com/question/29242775

#SPJ4

Answer:

x.   y

-1---2^-1=1/2

0---0

1----2

2----2*2=4

Step-by-step explanation:

x.   y

-1---2^-1=1/2

0---0

1----2

2----2*2=4

Answer:

-5 and -3 could both work in this situation

Step-by-step explanation

-5 + 4 = -1

| -1 | = 1

-3 + 4 = 1

| 1 | = 1

Answer:

A) Commutative

Step-by-step explanation:

The Associative has to do with re-grouping numbers. There are only two numbers so this does not apply here. Commutative is where you change the order; that's what the equation is demonstrating.

Answer:

The Commutative Property.

Step-by-step explanation:

The commutative property says that when multiplying, you can change the order without changing the answer.

Answer:

209.23

Step-by-step explanation:

Answer:

425 pesos

Step-by-step explanation:

Just divide both $250 and 4,250 pesos by 10 to get your answer! :)

Answer:

a^2 = -2a

a= -2

b=18/a

b=18/ -2

b= -9

Ans

Step-by-step explanation:

a solution is always inside the shaded area!

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the vertices of the pre-image are given as follows:

D(-5,2), E(1,5), F(0,-1).

The vertices of the transformed image are given by:

D'(-2, -5), E'(-5,1), F(1,0).

From this, we the rule is given by:

(x,y) -> (-y,x).

Which is equivalent to the rotation rule of a rotation of 270º clockwise.

Hence:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1