Mathematics High School

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


In the figure, all, and both lines are intersected by transversal & Complete the statements to prove that m≤1 = m25.
allo (given)
m1+m3=180° (Linear Pair Theorem)
m5+ m6=180° (Linear Pair Theorem)
m1+m3= 5+ 6()
m3=m6()
m1 m5 (Subtraction Property of Equality)

Answers

First blank: Substitution or transitive property of equality

Second blank: Subtraction property of equality

17. Find the height of a rectangular room that
measures 4.7 m long and 3.2 m wide, if
the space within it is 33.84 m³.

Answers

Answer:

the height: h=2,25

Step-by-step explanation:

volume of rectangular box = wide*long*the height

----> the height = volume of rectangular box / ( wide*long) = 2,25

give me 5 stars and hearts^^

the answer is going to be h = 2 ,25

NEED HELP ASAP PLS!! Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. With reference to the figure, match the angles and arcs to their measures?

Answers

Answer:

1) 122 = Angle DFA

2) 144 = Angle COB

3) 124 = CE

4) 58 = EOB

Step-by-step explanation:

I think this is correct. Correct me if im wrong

Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
d
Some number increased by two A) a ÷ 2
c
A variable decreased by two B) y2
e
Product of an unknown value and two C) x − 2
2
Quotient of some number and two D) b + 2
b
An unknown value squared E) 2z

Answers

The matching of definitions and terms are done below.

Some number increased by two ⇒ b + 2A variable decreased by two ⇒ x – 2Product of an unknown value and two ⇒ 2zQuotient of some number and two ⇒ a ÷ 2An unknown value squared ⇒ y²

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

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Help me solve the inequality: 2x- 3<2x+2 <3x +5

Answers

Answer:

[tex]x > - 3[/tex]

I hope this is helpful

Find the value of the lettered angle b​

Answers

Answer:

60°

Step-by-step explanation:

30 is an opposite angle (2 angles of 30°)

sum of all angles = 360°

360 - 90 -30 - 150 - 30 = 60°

check

60 + 30 + 150 + 30 + 90 = 360°

the answer is good

Answer:

b = 60

Step-by-step explanation:

A straight line is 180 degrees

30+90+b = 180

Combine like terms

120 +b = 180

b =180-120

b = 60

Mr. avanzado has an underground in his house. what unit of measure will he use to find its value

Answers

Answer:  Volume

Step-by-step explanation:

There were 35 children and 10 adults in a picnic. What is the ratio of children to the total number of people in the picnic?

Answers

Ans: 35:45 which is simplified to 7:9

Answer:

7/9     ( or  7:9)

Step-by-step explanation:

Children = 35

Total people = 35 + 10 = 45

ratio Children / total people =  35/45  = 7/9

Find the rate of change of the linear function shown in the graph. Then find the initial value.

Answers

rate of change is change in y / change in x


(-1 - -3)/ (0 - -6) = 2/6 = 1/3


initial value is the y value when x is 0 , which is -1

Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!

Answers

Answer:

D

Step-by-step explanation:

COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,÷) IN THE BOXES GIVEN:
REMEMBER TO USE (DMAS)

Answers

Answer:

) +, -

e) x, ÷

g) ÷

Step-by-step explanation:

5. A, b, c plsssssss rn

Answers

5a. a° = 128°

5b. b° = 1.3°

5c. c° = 341°

How to determine the unknown sides

5a

a° = 128°

This is because parallel angles are equal and angles a° and 128° are parallel to each other

5b

Angles (4b-10)° and (2b - 2)° are equal.

This is because alternate angles are equal and they are alternate to each other

To find b , equate both angles

4b - 10 = 2b - 2

collect  like terms

4b + 2b = -2 + 10

6b = 8

Make 'b' subject of formula

b = 8/6

b = 1.3°

5c.

c° is at angle at a point.

19° is alternate to the other part of the point

We have, c° + 19° = 360° (angle at a point)

c° + 19° = 360°

Make 'c' subject of formula

c° = 360° - 19°

c° = 341°

Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°

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Hey! can someone give me a step-by-step explanation on how to solve this problem correctly? I know for a fact that I did it incorrectly.

Answers

Perhaps the 3 from the radius was squared to 9, and then multiplied by the 2 from the height to get 18 in the “1:18”
This is just a guess in case no one else answers your question you can try this

Answer:

B. 1:18

Explanation Down Below

Step-by-step explanation:

Hello!

First, let's find the volume of each cylinder by plugging in the given values.

Volume of a Cylinder: [tex]V = \pi r^2h[/tex]

Cylinder A

Since the variables are the same as given in the formula, we can just use the formula as the volume.

[tex]\implies{\boxed{{V = \pi r^2h}}[/tex]

Cylinder B

We have to plug in 3r for the radius, and 2h for the height.

[tex]V = \pi r^2 h[/tex][tex]V = \pi (3r)^2(2h)[/tex][tex]V = \pi(9r^2)(2h)[/tex][tex]V = 18\pi r^2h[/tex]

[tex]\implies \boxed{ V = 18\pi r^2h}[/tex]

Ratio

We can see that the Volume of Cylinder B is just 18 times the Volume of Cylinder A, but we can find the same ratio using equations.

[tex]\text{Ratio} = A:B[/tex][tex]\text{Ratio} = \pi r^2h: 18\pi r^2h[/tex][tex]\text{Ratio} = \frac{\pi r^2h}{18\pi r^2h}[/tex][tex]\text{Ratio} = \frac{\not{\pi}\not {r^2}\not{h}}{18\not{\pi}\not{r^2}\not{h}}[/tex][tex]\text{Ratio} = \frac1{18}[/tex][tex]\text{Ratio} =1:18[/tex]

The answer is Option B. 1:18.

what is 11x2 – 4x = 1?

Answers

Answer:

x=5 1/4 or 5.25

Step-by-step explanation:

11x2-4x=1

22-4x=1

22-1-4x=

21-4x=

21=4x

x=5 1/4 or 5.25

Answer:

Using the formula of quadratic equation, we find x = 0.534 and x = -0.17.

Step-by-step explanation:

It is a quadratic equation.

11x² - 4x - 1 = 0

Find the determinant of the quadratic equation.

D = b² - 4ac

D = 16 + 44

D = 60

One of the values of x will be

x = (-b+√D)/2a

x = (4+2√15)/22

x = 0.534

The second value will be

x = (-b-√D)/2a

x = (4-2√15)/22

x = -0.17

The two values of x, from the quadratic formula are 0.534 and -0.17.

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How many factors does 16 have

Answers

Answer:

5

Step-by-step explanation:

1,2,4,8,16 total 5 factors

there are 4 factors of 16 and those are 1, 2, 4, and 8

Find the equation of the parabola that has zeros of x = - 6 and x = 6 and a yintercept of (0, 4) .

Answers

Since the zeros are symmetrical to the y axis, the equation can be written as
y=a(x-b)(x+b), where a is a scale factor and b is x intercept. By plugging in the zeros, you get y=A(x-6)(x+6). Now we can plug in the (0,4) and solve for a to get the scale factor.

4=A(0-6)(0+6)
4=A(-36)
-36A=4
A=-1/9

Therefore the equation is Y=-1/9(x-6)(x+6), or Y=-1/9(x^2-36)

Hope this helps!

Select the correct answer.
Which calculation correctly uses prime factorization to write √48 In simplest form?
OA √48 = √2-2-2-2-3-2√12
OB. √48√4 - 12 = 2√12
OC. √48 = √2-2-2-2-3= 4√3
OD. √48 =√16-3 = 4√3

Answers

D. √48 =√16*3 = 4√3

Simplify the radical by breaking the radicand up into a product of known factors.

16*3 = 48

this means that √48 = √16*3, but this can be simplified.

√16 = 4, √3 = √3 because it cannot be simplified farther

making the most simplified answer 4√3

The median height of 11 footballers is 1.85m.
Only one footballer has a height of 1.85m
How many footballers have a height under 1.85m

Answers

5 footballers because if 1.85 is the median, or the middle number, there has to be five players above that height and 5 players below.

Which of these polygons can be formed by the cross-section created when a plane intersects a pyramid? Select all that are possible.

square
pentagon
circle
rectangle

Answers

When a plane intersects a pyramid, the cross-section of polygon created is

Square andRectangle

To answer the question whe need to know what polygons are.

What are polygons?

Polygons are shapes with 3 or more sides.

What is a pyramid?

A pyramid a four-sided solid with triangular sides and a square base.

What polygons are formed by the cross-section created when a plane intersects a pyramid?When a plane intersects a pyramid parallel to its base, the cross-section created by the plane is a squareAlso, when a plane intersects a pyramid at an angle to its base, the cross-section formed is a rectangle.

So, when a plane intersects a pyramid, the cross-section of polygon created is

Square andRectangle

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Four students are trying to determine what number must replace the question (x^2)^?=x^4*x^8 in order to make it true
Joe said the answer is 6. Sam said it is impossible to answer.
Peter said the answer is 32. Alex said the answer is 16.
Who is correct? In words explain why.

Answers

Joe is correct as the unknown number is 6.

What are exponents?

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

Given :

[tex](x^2)^?=x^4\times x^8[/tex]

Let the question mark exponent outside the bracket be y, which needs to be determined

[tex](x^2)^y=x^4\times x^8[/tex]

Simplify the equation by applying exponent rules to either side of the equation:

Apply the rule [tex](a^b)^c = a^{b \times c}[/tex]

[tex](x^2)^y=x^4\times x^8[/tex]

[tex](x)^{2y}=x^4\times x^8[/tex]

Now apply [tex]a^b \times a^c = a^{b+c}[/tex]

[tex](x)^{2y}=x^{4+8}\\\\(x)^{2y}=x^{12}[/tex]

So, the base is the same the exponent will be the same also,

2y = 12

y = 6

Hence, Joe is correct as the unknown number is 6.

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Write an equation of the line that passes through the point P (2,-2) and is parallel to the line
-2x+y=-3

Answers

Step-by-step explanation:

Solution:

The slope of the line -2x+y = -3 is m1 =

- coefficient of x ÷ coefficient of y

= -(-2) ÷1

=2

Then, according to the question ;

It is stated that the lines are parallel

i.e.

m1=m2

or, 2 = m2

Hence, m2 =2

Again,

The required equation of the line passing through the point P(2,-2) = (x1,y1) is

y-y1 = m2(x- x1)

or, y-(-2) = 2(x-2)

or, y+2 = 2x-4

or, 2+4 = 2x-y

or, 2x-y = 6

Therefore; 2x-y = 6.

A farmer has 32 cows. he puts an equal number of cows in 4 fields. each cow produces 6 gallons of milk. how much milk do the cows in one field produce?

Answers

Answer:

48/field

you take 32÷4=8 and then you 8*6=48 each field

2.8 + 32x + 1 =16.6
​

Answers

Answer:

x = 0.4

Step-by-step explanation:

Assuming you are looking for x

2.8 + 32x + 1 = 16.6

32x = 16.6 - 2.8 - 1

32x = 12.8

x = 12.8 : 32

x = 0.4

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

check

2.8 + 32 * 0.4 + 1 = 16.6

2.8 + 12.8 + 1 = 16.6

16.6 = 16.6

the answer is good

On a coordinate plane, triangle 1 is reflected across the x-axis to form triangle 4, is reflected across a diagonal to form triangle 3, is reflected across the y-axis to form triangle 2.
Use the figure to complete the statements.

Triangle 1 is the image of triangle 2 reflected over the
.

Triangle 2 is the image of triangle 3 reflected over the
.

Reflecting triangle 4 over the y-axis results in triangle
.

Answers

The complete statements are; Triangle 1 is the image of triangle 2 reflected over the y-axis. Triangle 2 is the image of triangle 3 reflected over the x-axis. Reflecting triangle 4 over the y-axis results in triangle 3.

How does reflection across axis work?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in the opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Triangle 1 is across from triangle 2. If we make the triangles bisect, they will touch the y-axis.

Triangle 2 is above triangle 3. If we make the triangles bisect, they will touch the x-axis.

we can translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate it to 90 degrees.

The complete statements are;

Triangle 1 is the image of triangle 2 reflected over the y-axis.

Triangle 2 is the image of triangle 3 reflected over the x-axis.

Reflecting triangle 4 over the y-axis results in triangle 3.

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What is the sum of 4 + (-6)?

Answers

Answer:

-2

Step-by-step explanation:

4 + (-6) = -2

Answer = -2

Explanation: since your starting with a positive and adding a negative number you just subtract it.

3(2x − 8) – 11x
equivalent to

Answers

Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3.

= 6x - 24 - 11x

Combine like terms.

= -5x - 24

Kelly bought a pair of sneakers for $35.00. She also bought a pile of different laces. Each set of laces, l, costs $3.00. Write a variable expression to show how Kelly could calculate her total cost.

Answers

Answer:

35 + 3x

Step-by-step explanation:

we mark the number of sets of laces as x, each pf those costs 3$, so in total - 3x$

we add that to the 35$ of the shoes and get:

35+3x

PLEASE HELP RNNN HELPPPPPPPPPPPP

Answers

Answer:

I think favorable outcomes are just the outcomes

which is 6

SR, SB, MR, MB, LR, LB

Step-by-step explanation:

PQ = 15cm and QR = 17cm. Calculate the perimeter of PQR.

Answers

can u please tell if the figure is a right angled triangle??...cuz in order to find the perimeter, Pythagoras theorem must be applied but it's only for right angled triangle...so specify please

slope of (0,1) and (4,3)

Answers

Answer:

1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-1)/(4-0)

m=2/4

m=1/2

The slope of the given points (0,1) and (4,3) will be ( 1 / 2 ).

What is the slope of the line?

The increase divided by the run, or the ratio of the rise to the run is known as the line's slope. In the coordinate plane, it describes how steep a line is.

The slope of the line is calculated by the formula given below:-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-1}{4-0}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Therefore the slope of the given points (0,1) and (4,3) will be ( 1 / 2 ).

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