Mathematics College

Solution to the systems of equations,
g(x)=3x+2
f(x)=|x-1|+1

Solution To The Systems Of Equations, G(x)=3x+2f(x)=|x-1|+1

Answers

Answer 1

Hi there! :)

[tex]\large\boxed{\text{ x = 0, or (0, 2)}}[/tex]

The solution of g(x) = 3x + 2 and f(x) = |x - 1| + 1 is where the two lines intersect.

According to the graph, the functions intersect at the point (0, 2), or x = 0. This is the solution to the system of equations.

We could also prove this algebraically by setting the two equations equal to each other:

3x + 2 = | x - 1 | + 1

Assume the absolute value function is negative:

3x + 2 = -(x - 1) + 1

Simplify:

3x + 2 = -x + 2

Add x to both sides:

4x + 2 = 2

Subtract 2 from both sides:

4x = 0

x = 0. This is the solution to the system.

Answer 2

g(x)=3x+2 = 2/3
X = 0.6


f(x)=|x-1|+1 = no x intercept/0

Related Questions

Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box

Answers

Answer:

[tex]x =13.7[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

The relationship between x, 47 and [tex]17^{\circ}[/tex] is:

[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]

i.e.

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

Solving further:

[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]

Make x the subject

[tex]x = 47 * sin(17^{\circ})[/tex]

[tex]x = 47 * 0.2924[/tex]

[tex]x =13.7428[/tex]

[tex]x =13.7[/tex] --- approximated

What are the coordinates of point P?

Answers

Answer:

pic??...................

The image of the point (6, 6) under a translation is (5,2). Find the coordinates of
the image of the point (0, 2) under the same translation.

Answers

9514 1404 393

Answer:

  (-1, -2)

Step-by-step explanation:

The difference between the coordinates of the image and the coordinates of the original is the same for both points.

  X - (0, 2) = (5, 2) -(6, 6)

  X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)

  X = (-1, -2)

The image of the point after translation is (-1, -2).

i need help with this please

Answers

Answer:

a=40 degree( vertically opposite angle)

a+b+90=180( area of triangle)

or, 40+ b+ 90=180

or,b=180-130

b=50 degree

c+65=180 (st.line)

or, c= 180-65

c= 115 degree

Which of the following is a geometric sequence ?

Answers

Answer:

A, C and D is correct I know It

find slopes , ill mark brainlist

Answers

Answer:

[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]

Step-by-step explanation:

We are given a graph and asked to find the slope.

So we can see two coordinate points, one on (0, 3) and (2, 0).

When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.

So count how many times it'll take for x to get to y, base it off the picture below

Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.

Would this be negative though? No, since the graph is in an increase, not a decrease.

Divide 4 1/2 by the following unit fractions. 1/8 b. 1/4 c. 1/6

Answers

Answer:

a. 36

b. 18

c. 27

Which graph represents the cost of hamburgers at Bulky's Store? Explain

Answers

Answer:

Graph B

Step-by-step explanation:

It seems more realistic i dont think 10 hamburgers would be 3 dollars

A medium of exchange ?

A.) People are willing to hold onto it because they’re confident that it will keep its value over time.

B.) Money simplifies the exchange process because it’s a mean of indicating how much something costs.

C.) To use money to buy the goods and services you want.

Answers

Answer:

B

Step-by-step explanation:

pleaseeeeee helppppppppppp

Answers

Ok so we have the first portion. We need to do cross multiplication first. So that would be 20(2x - 9) and 10(9)

So
20(2x - 9)=90
40x - 180=90
Then add 180 to itself then to 90
40x=270
X=6.75

Now let’s set the next one up knowing what we know from the previous one.

18(3x + 4)= 12(15)
54x + 72=180
Subtract 72 from it’s self and 180
54x=108
X=2

álgebra II. Help please...

Answers

Answer:

See below

Step-by-step explanation:

The domain of [tex]f[/tex] is non-negative real numbers, and the domain of [tex]g[/tex] is real numbers.

[tex](f\circ g)(x) = 2\sqrt{2}|x|^5[/tex] (I skipped calculation details), so [tex](f\circ g)(9) = 2 \sqrt{2} \cdot 9^5[/tex].

Find the sum of 4x2 + 3x + 2 and 7x2 + 7x + 3.​

Answers

Answer:

27 + 10x

you combine like terms

Isabella's Flower Shop sells a variety of flowers. Roses cost $5 each. The shop gives a discount of $1 off per rose if more than 10 are bought. Daisies are sold in bunches of 6 flowers and cost $4 per bunch. • Nala bought 12 roses for her friend's going-away party. • Hector bought his mother 4 bunches of daisies for her birthday. • Petunias cost $2 more per bunch than daisies. Use the axioms to make three conclusions about the flowers Isabella sells.​

Answers

Answer:

Isabella earned $48 from Nara. Isabella earned $16 from Hector. Isabella sells petunias for $6 per bunch (the number of petunias per bunch is unclear).

Step-by-step explanation:

Nala bought 12 roses which is greater than 10. So she received a $1 discount for each one. Nara spent 12*4=$48 dollars.

Hector bought 4 bunches of daisies meaning  that Hector spent 4*4=$16.

Petunias cost $6 per bucnh.

How many 1/6 pieces are there in 3/6
​

Answers

Answer:

there are 3 1/6 pieces

Step-by-step explanation:

since 3 x 1/6=3/6.

another explanation:

(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.

For what value of x is the following expression
sinx
undefined for Os x <211?
1+COS X

Answers

Answer:

ti 5

Step-by-step explanation:

its 5

A baker made nine cupcakes each a different type four people want to share them equally how many cupcakes in each person get?

Answers

The answer would be 2 and 1/4

Can someone help me thank you

Answers

Answer:

a. 1,289,400

b. 800,000

c. 7,000,000

(I hope this helps)

Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. the cubes are stacked 8 cubes high. What are the possible measurements for the length and width of the rectangular prism in inches.
Enter each measurement on a separate line.

Answers

Answer:

Step-by-step explanation:

Oo.24

Y=20 when x=2 find y when x=5

Answers

Y=50 when y equals 5

uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?

Answers

Answer:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

reject H0

Step-by-step explanation:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

To compute the test statistic :

We need the sample mean and sample standard deviation :

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Using calculator :

Sample mean, m = 15.887

Standard deviation = 0.13

Test statistic :

(m - μ) / s/sqrt(n)

(15.887 - 16) / 0.13/sqrt(10)

-0.113 / 0.0411096

= - 2.749

Tcritical at 95%

Tn-1, 0.025

T10,0.025 = 2.262

Since the test statistic value is less than the critical value, reject H0

CAn you help witht this fast!

Answers

Answer: 150% sugar

Step-by-step explanation: Make a proportion.

150% sugar sorry if I’m wrong

A= 5 1/3
L=3 5/9
what is the width of the rectangle

Answers

Answer:

1 1/2

Step-by-step explanation:

5 1/3÷3 5/9=

16/3÷32/9=

16/3×9/32=

144/96=

1 1/2

Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information​

Answers

9514 1404 393

Answer:

  B.  Figure B

Step-by-step explanation:

The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.

The pyramid volume is ...

  V = 1/3Bh

  V = 1/3(4²)(9) = 48 . . . cubic units

__

The cylinder volume is ...

  V = πr²h

  V = π(1²)(48) = 48π . . . cubic units

The cylinder has π times as much volume as the pyramid. Figure B is larger.

_____

Additional comment

If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.

Which steps can be used to solve for the value of y ? 23(y+57)=178

Answers

Answer:

y= -49.26 or -49 6/23

Step-by-step explanation:

First distribute the 23 to y and 57

23y+1311=178

then subtract 1311 from both sides

23y=-1133

Then divide 23 to both sides

y= -49.2608695652

rounded: -49.3

as a fraction: -49 6/23

Can someone please work out both problems, I need help with my math hw due in 4 hours

Answers

Answer:

I hope this helps

Step-by-step explanation:

This is not the same exact question but it shows you the throw down.

A+B+C= 180

so if A=60 and B=70

The sin is= 8

so 60+70= 130

130+c=180

130-180= 50

C=50

The sum of two numbers is -35. The difference of the two numbers is -29. What are the two numbers?

Answers

Answer:

22  on now

Step-by-step explanation:

11+11

Find the equation of this line

Answers

Answer:

y = x+6

Step-by-step explanation:

You can see that (0,6) and (1,7) are points on the line, and the y-intercept of the line is 6.

Use the coordinates of these points to find the slope of the line.

slope = (7-6)/(1-0) = 1

y-intercept = 6

Slope-intercept equation for line of slope 1  that has y-intercept of 6:

y = x+6

What is true about the domain of the following two graphs

Answers

Answer:

the domain for both graphs is infinity

Step-by-step explanation:

both graphs are absolute value graphs, which means there is an infinite amount of possible x values in positive and negative directions.

edit: actually, if there are no arrows of the ends of the graphs, then what i just said is not true. a possible answer if that's the case may be both graphs have domains that include negatives

HELP NOW PLEASSEE ! Find the mean absolute deviation

Answers

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

In A QRS, ZRTQ - STR.
R
S
Which relationship proves that ZQRS is a right angle?

Answers

Answer:

A

Step-by-step explanation:

hhjjjjkkkdaa vhjkkjddgj hjkjcgh

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