Quick I need an answer to this Queston:


The functions f(x)= −3/4x + 2 1/4 and g(x)= (1/2)x + 1 are shown in the graph.


What are the solutions to −3/4x + 2 1/4 = (1/2)x + 1?


Select each correct answer.



−1


0


1


2


3

Answers

Answer 1

Step-by-step explanation:

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

[tex] - \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2} [/tex]

[tex] \frac{ - 3x + 9}{4} = \frac{2x + 4}{4} [/tex]

[tex] - 3x + 9 = 2x + 4[/tex]

[tex] - 3x - 2x = 4 - 9[/tex]

[tex] - 5x = - 5[/tex]

[tex]x = \frac{ - 5}{ - 5} [/tex]

[tex]x = 1[/tex]

The answer is C.


Related Questions

The radius of the ring is 0.25 cm. Find the circumference of the ring.​

Answers

Answer: circumference 1.5714

Answer:

Circumference formula: 2πr

2π(0.25) = 0.5π or 1.57

the map is drawn to the scale of 1:4000 and the distance in between two places on the map is 4 cm what is the actual distance between those two places​

Answers

Answer:

4 × 4000 = 16000cm or 160 meters

is n÷12=36,n=108 true or false​

Answers

Answer:

False

Step-by-step explanation:

n÷12=36

n=36*12

hence n=432

hope it helps you and give me a brainliest

Answer:

(redacted answer - it was wrong - moderator please delete)

false

what is the x intercept of the function​

Answers

Step-by-step explanation:

0 = sqrt(x - 4) + 3 Set equation equal to 0

-3 = sqrt(x - 4). Subtract 3 from both sides

the principle square root will only output positive values, since if it every outputted a negative value it would not be a function since a function cannot have 2 outputs for the same input.

no x-intercept

[tex]\frac{16x^{2} y^5}{(-4x^-6)( y^8)}[/tex]

simplify

Answers

Answer: X= 0, Y=0
Explain: step by step

X Y
-2 6
0 3.5
2 1
4 -1.5
Which equations represent the data in the table?
Check all that apply.
y-6= =5 (x+2)
y-2=-(x-1)
y + 2 = S(x-6)
y-1=-(x-2)
y-3.5 = -1.25.x

Answers

Using the point-slope equation, the equations that represent the data are:

y - 6 = -1.25(x + 2)

y -3.5 = -1.25x

What is the Point-Slope Equation?

Given a point (a, b) and slope (m), the point-slope equation is expressed as, y - b = m(x - a).

Find the slope (m) using two pairs from the table of values say, (-2, 6) and (2, 1):

Slope (m) = change in y / change in x = (6 - 1)/(-2 - 2) = 5/-4 = -1.25

Using the point, (a, b) = (-2, 6) and m = -1.25, plug the values into y - b = m(x - a):

y - 6 = -1.25(x - (-2))

y - 6 = -1.25(x + 2)

This cam be rewritten as:

y - 6 = -1.25x - 2.5

y - 6 + 2.5 = -1.25x

y -3.5 = -1.25x

The equations that represent the data in the table are:

y - 6 = -1.25(x + 2)

y -3.5 = -1.25x

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2. Estimate the square root to the nearest integer. 5 4 6 7

Answers

ggggggggggggggggggggggg

Which linear inequality is represented by the graph?

Answers

Step-by-step explanation:

5 because you have to round

Answer:

5

Step-by-step explanation:

because you have to round

Source: trust me bro

DRAW AND WRITE SHORT NOTES ON THE FOLLOWING Properties of the various types 1 Triangle: (Equilateral, Isoceles, Right - angled, Scalene
2. Quadrilaterals. (square, rectangle, Rhombus, parallelograph trapezium, kite
ASAP PLEASE FIRST AND CORRECT WILL GRT BRAINLIEST ANSWER ​

Answers

Answer:

Triangles:

- Equilateral: Has three equal sides

- Isosceles: Has two equal sides

- Right angled: One angle of a right angle triangle measures 90 degrees

- Scalene: All sides are different lengths

Quadrilaterals:

- Square: Has four right angles and four equal sides

- Rectangle: Has four right angles and opposite sides are equal

- Rhombus: A parallelogram with four equal sides

- Parallelogram: Opposite sides are equal and parallel

- Trapezium: At least one set of sides are parallel

- Kite: Two pairs of adjacent sides are the same length

Solve the following system of equations. Show all work and solutions.

y = 2x2 + 6x + 4
y = −4x2 + 4

Answers

Please check out the attached photo

Nadine had 20 minutes to do a three-problem quiz. She spent 10 7/10 minutes on question A and 6 2/5 minutes on question B. How much time did she have left for question C?

Answers

She has 2 minutes and 54 seconds left for question C.

20 minutes total

10 minutes and 42 seconds on question A
6 minutes and 24 seconds on question B
= 17 minutes and 6 seconds spent on both questions

20 minutes minus 17 minutes and 6 seconds = 2 minutes and 54 seconds

Explain how to find the average rage of change for a function over a given interval.

Answers

The average rate of change for a function over an interval is the slope

How to explain the steps?

Take for instance, we have the function to be

Function f(x)

And the interval is (a,b)

The average rate of change for the function over the interval is

Rate = (f(b) - f(a))/(b - a)

The above represents the slope

Take for instance, we have:

f(x) = x^2 [2, 4]

We have:

f(2) = 2^2 = 4

f(4) = 4^2 = 16

So, we have:

Rate = (16 - 4)/(4 - 2)

Rate = 6

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8) Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.

Answers

Answer:

16.6

Step-by-step explanation:

Add the numbers together.

13.2+20=33.2

Now divide the number by 2.

33.2/2=16.6

Hope this helps!

If not, I am sorry.

Points Z, L, and S are:

Answers

Points Z, L, and S are collinear points

How to determine the relationship?

When 2 or more points are on a line, the points are said to be collinear.

From the figure, we have:

Points Z, L and S on the same line

This means that they are collinear points

Hence, points Z, L, and S are collinear points

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Rearrange the equation 4-4x-2y=0 into the form of y=mx+c

Answers

Answer:

y = -2x+2

Step-by-step explanation:

4-4x-2y=0

4-4x = 2y

2y = 4-4x

y = (4-4x)/2

y = 4/2-4x/2

y = 2 -2x

y = -2x+2

Simplify (3 + √5 )(2 + √5)
need the answer ASAP, WILL GIVE BRAINLIEST ​

Answers

Answer:

11 + 5√5

Step-by-step explanation:

6 + 3√5 +2√5 + 5

11 + 5√5

root n * root n = n , which is why there is a 5 at the end

Answer:

the answer is 11+5√5

Step-by-step explanation:

B/c (a+b).(c+d)=ac+ad+bc+bad(3+√5)(2+√5)=3.2+3.√5+√5.2+√5√5=6+3√5+2√5+√5√5=6+3√5+2√5+5=11+3√52√5=11+5√5


What is the sum of the polynomials?
(6x+7+x²)+(2x²-3)
1. -x² +6x+4
2. 3x²+6x+4
3. 9x + 4
4. gx²+4

Answers

Answer:

6x+4+3x²

Step-by-step explanation:

Given polynomials:

(6x+7+x²)+(2x²-3)

Solution:

(6x+7+x²)+(2x²-3)

Removing brackets,

6x+7+x²+2x²-3

Collecting like terms,

6x+7-3+x²+2x²

Simplifying ,

6x+4+3x²

Done!

Hence option 3 is correct.

What is quadratic equation?

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:  ax² + bx + c = 0.

The given expression is;

(6x+7+x²)+(2x²-3)

Now add the like term in the given expression,

⇒   x² + 2x² + 6x + 7 - 3

⇒ 3x² + 6x + 4

Hence,

The sum of polynomial is 3x² + 6x + 4.

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The table represents the function f(x).

A 2-column table with 7 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 66, negative 29, negative 10, negative 3, negative 1, 6.

When f(x) = –3, what is x?

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:x is -1

Step-by-step explanation:

which exponential function has an initial value of 2?

Answers

Answer:

The function [tex]2(3^x)[/tex] has an initial value of [tex]2[/tex].

Step-by-step explanation:

An exponential function is a mathematical function of the following form: [tex]f(x)=a^x[/tex]where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828. The exponential value can be found by solving the expression to proceed with a solution.

At the initial value,  the exponential function is in the [tex]y[/tex] direction and [tex]x[/tex] is [tex]0[/tex] .

[tex]f(x)=2(3^x)\\f(x)=2(3^0)\\f(x)=2[/tex]

Therefore, the function that has an initial value of [tex]2[/tex] is [tex]2(3^x)[/tex].

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A line passes through the points (6, 8) and (5, 5). What is its equation in slope-intercept form?

Answers

Answer:

b6,4

Step-by-step explanation:

becust tehf sdj

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?

Answers

Answer:

x^4 - 3x^2 - 4.

Step-by-step explanation:

Imaginary roots  occur as conjugate pairs  so a 4th roots is -i.

So in factor form we have:

f(x) = (x - 2)(x + 2)(x - i)x + i)

     = (x^2 + 1)(x - 2)(x + 2)

     = (x^2 + 1)(x^2 - 4)

      = x^4 - 3x^2 - 4.

Answer:b.f(x) = x^4 – 3x^2 – 4

Step-by-step explanation:

If $a$ and $b$ are positive integers for which $ab - 6a + 5b = 373$, what is the minimal possible value of $|a - b|$?

Answers

Answer:

  31

Step-by-step explanation:

We can solve the given equation for 'b', then find the integer values of 'a' that make 'b' a positive integer. There are 3 such values. One of these minimizes the objective function.

__

solve for b

  ab +5b = 373 +6a . . . . . . isolate b terms by adding 6a

  b = (6a +373)/(a +5) . . . . . divide by the coefficient of b

  b = 6 +343/(a +5) . . . . . . . find quotient and remainder

integer solutions

The value of 'b' will only be an integer when (a+5) is a factor of 343. The divisors of 343 = 7³ are {1, 7, 49, 343}. so these are the possible values of a+5. Since a > 0, we must eliminate a+5=1. That leaves ...

  a = {7, 49, 343} -5 = {2, 44, 338}.

Possible values of b are ...

  b = 6 +343/{7, 49, 343} = 6 +{49, 7, 1} = {55, 13, 7}

Then possible (a, b) pairs are ...

  (a, b) = {(2, 55), (44, 13), (338, 7)}

objective function

The values of the objective function for these pairs are ...

  |a -b| = |2 -55| = 53

 |a -b| = |44 -13| = 31 . . . . . the minimum value of the objective function

  |a -b| = |338 -7| = 331

-7mn (4m³n² + m²)
Multiply

Answers

[tex] - 7mn(4 {m}^{3} {n}^{2} + {m}^{2} ) \\ - 28 {m}^{4} {n}^{3} - 7 {m}^{3} n[/tex]

PLEASE GIVE BRAINLIEST

Which form of controls are effective in eliminating, reducing, or minimizing hazards, which eventually help in reducing or even eliminating the need for ppe?.

Answers

The form of controls that are effective in eliminating, reducing, or minimizing hazards is called; Engineering controls

What are engineering controls?

Engineering controls are defined as strategies that are designed to protect workers from hazardous conditions by placing a barrier between the worker and the hazard or by removing a hazardous substance through air ventilation.

Now, the reason why this is effective in eliminating, reducing, or minimizing hazards is because they are designed to remove the hazard at the source, before it comes in contact with the worker.

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square root of 342354456​

Answers

Answer:

18502.8229198

Answer:

18502.82292

Step-by-step explanation:

calculator

A man walks 4km from point x due east of point Y. The bearing of a flag point x and y are due N80°W and N40°E respectively. Find the distance of the flag pole from point y

Answers

The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Sine rule shows the relationship between the sides and angles of a triangle.

The triangle formed has angles A = 10°, B = 50°, C = 120°, c = 4 km, a = distance from point y.

Hence:

a / sinA = c / sinC

a / sin(10) = 4 / sin(120)

a = 0.8 km

The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E

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Solve for x ~

[tex] \sf \rightarrow2x + 5x = 14[/tex]

provide explanation ​

Answers

X= 2

Explanation-

2x + 5x = 14

7x = 14

Divide both side by 7

x = 2

Solution: x=2 ✅

[tex]\searrow[/tex]

⚜Detailed explanation: ⚜

In this problem we need to solve for x, the unknown.

First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?

[tex]---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}[/tex]

We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.

[tex]---\mapsto\boldsymbol{x=2}[/tex] is what we obtain upon dividing

Superb, it's ez as winking!

_________________________________________

Voila! There's our solution!

Cheers!! ^-^

Hope I helped! Best wishes!

Reach far. Aim high. Dream big.

____________________________________________

What is the value of x and y?

Answers

Answer:

[tex]\fbox {x = 6 and y = 12}[/tex]

Step-by-step explanation:

Taking the tan and cos values to find x and y :

tan 60° = √3 = 6√3/x⇒ x = 6cos 30° = √3/2 = 6√3/y⇒ y = 12

Answer:

x = 6 and y = 12

Step-by-step explanation:

30-60-90 Triangle Theorem

A special right-angled triangle where:

Angles are in the ratio 1 : 2 : 3Sides are in the ratio 1 : √3 : 2  

Therefore, the formula for the sides is  b : b√3 : 2b where:

b = shortest side opposite the 30° angleb√3 = side opposite the 60° angle2b = longest side (hypotenuse) is opposite the right angle

The given triangle is a 30-60-90 triangle, therefore the ratio of its sides is  b : b√3 : 2b

We have been given the measure of the side opposite the 60° angle.

⇒ b√3 = 6√3

So b = 6

Therefore, substituting the found value of b into the formula, the sides are in the ratio:  6 : 6√3 : 12

⇒ x = 6  (shortest side)

⇒ y = 12  (longest sides)

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what is 500 - 250 + 5/30 % by 121 + π × f if f = 256 pls help

Answers

Answer:

I am not sure but 31054.449

Step-by-step explanation:

Answer:

0.27037

Step-by-step explanation:

numerator is 250.16667

denominator is 925.2477

answer is 0.27037

PLEASE HELP!
Find the degree measure of each numbered angle.

Answers

Answer:

1=76°

2=76°

3=36°

Step-by-step explanation:

To find 1, add the other angles in the triangle and subtract by 180.

85+19=104

180-104=76.

1 is equal to 2 so 2=76

To find 3, add 76 and 68, then subtract by 180.

76+68=144

180+144=36

3=36

Hope this helps!

If not, I am sorry.

Answer:

m∠1 = 76°

m∠2 = 76°

m∠3 = 36°

Step-by-step explanation:

The interior angles in a triangle sum to 180°

⇒ m∠1 + 85° + 19° = 180°

⇒ m∠1 + 104° = 180°

⇒ m∠1 + 104° - 104° = 180° - 104°

m∠1 = 76°

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

⇒ m∠2 = m∠1

m∠2 = 76°

The interior angles in a triangle sum to 180°

⇒ m∠2 + m∠3 + 68° = 180°

⇒ 76° + m∠3 + 68° = 180°

⇒ m∠3 + 144° = 180°

⇒ m∠3 + 144° - 144°= 180° - 144°

m∠3 = 36°

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