2. A system of equations is solved by finding the intersections of when f(x) = g(x).
True or False?

Answer:

x < 6

Step-by-step explanation:

8x + 6 < 54

Subtract 6 from each side

8x+6-6 < 54-6

8x < 48

Divide each side by 8

8x/8 < 48/8

x < 6

Answer:

46

Step-by-step explanation:

44+x=90

x=46

Answer:

46 degrees

Step-by-step explanation:

When two angles are complementary, their measures must add up to 90 degrees. Therefore:

a+b=90

44+b=90

b=90-44

b=46 degrees

Hope this helps!

Answer:

eqn : 9 x 9 x h = 1620

h = 1620 / 81 = 20

Step-by-step explanation:

______________________________

Hey!!

Solution,

11x+4=3x+52

or,11x-3x=52-4

or,8x=48

or,X=48/8

X=6

So, the answer is 6.

Hope this helps...

Good luck on your assignment

_____________________________

Answer:

11x+4=3x+52

11x-3x=52-4

8x=48

8x÷8=48÷8

x=6

the answer is x=6

Answer:

You would figure this out by the method of substitution

Step-by-step explanation:

a= -3/2

b= 5/4

c=7/8

a(b+c) = a(b)+a(c)

Substitute

-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)

-51/16 =-51/16

Answer:

The  graph of G (x) is the graph of f(x) shifted 2 units to the left.

The graph of G (x) is the graph of f(x) shifted 2 units to the left.

For any kind of the parent function f(x) the graph of the transformed function should be g(x) = f(x +a)

It is a shift of the parent function f(x) also it should be either to the left or the right based on the value of a.

In the case when a>0 so the shift is 'a' units to the left

and if a<0 so the shift is 'a' units to the right.

Therefore, we can conclude that The graph of G (x) is the graph of f(x) shifted 2 units to the left.

It is an incomplete question. Kindly find the options below.

A. the graph of G(x) is the graph of F(x) shifted 2 units to the right B thr graph of G(x) is the graph​ of F(x) shifted 2 units down C the graph of G(x) is the graph of F(x) shifted 2 units up D the graph of G (x) is the graph of f(x) shifted 2 units to the left

Learn more about graph here: https://brainly.com/question/19661552

Answer:

b

Step-by-step explanation:

Answer:

[tex]5x^2+x-5[/tex]

Step-by-step explanation:

[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]

Hope this helps!

I would answer, but you didn't give any options.

i would say go for the option that is closes to :

" A line is a straight collection of points that goes on forever in two directions."

Answer:

D

Step-by-step explanation:

Answer:

d; below; y = −2x + 2

Step-by-step explanation:

the equality  ≤  means left to right that y is equal or less than. We see that 2 is equal or less than 3.

We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.

Answer:

B (1,0) hope this helps :)

Answer:

A: 12cm

B: 90 degrees

C: 60 degrees

Step-by-step explanation:

A. Measure of GH is 1/4 of perimeter of 48 cm

48/4=12

a is 12cm

B.  in a rhombus, diagonals are perpendicular,

FH and EG are perpendicular

So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees

thus measure of angle EJF is 90 degrees

C.

First lets find the measure of EJF

Since all the inner angles of the triangle add up to 180 degrees,

we can make an equation:

60+90+x=180

150+x=180

x=30

angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,

Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors

Thus EHJ=30 and GHJ=30

30+30=60

EHG = 60

so answer is 60 degrees

2+2 = 4

Very easy, just add them lol gotem

Answer:

4

Step-by-step explanation:

2 + 2

Add the numbers.

= 4

Answer:

C. (3,2)

Step-by-step explanation:

to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.

the first choice is (2,1)

3(2) + 2(1) = 13

6 + 2 is not equal to 13. Therefore this answer choice is incorrect.

second choice (1,2)

3(1) + 2(2) = 13

3 + 4 is not equal to 13. This answer is also incorrect.

third choice (3,2)

3(3) + 2(2)

9 + 4 = 13 is true!

we can also substitute these x and y values for the equation underneath:

y = x - 1

2 = 3 - 1

2 = 2 is true! Therefore, C. (3,2) is correct!

Answer:

k = 0.086

Step-by-step explanation:

We have the equation

y=ne^(-kt)

where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.

We know the following data:

Replacing into the equation and solving for k:

[tex]y=ne^{-kt}[/tex]

[tex]\frac{n}{2}=ne^{-k8}[/tex]

[tex]0.5=e^{-k8}[/tex]

[tex]ln(0.5)=ln(e^{-k8})[/tex]

[tex]ln(0.5)=-k8ln(e)[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]k = 0.086[/tex]

Answer:

A

Step-by-step explanation:

answer on edg 2020

Step-by-step explanation:

first change it to fraction

1/6

use long division method to simplify

you will get

0.66666666666

leave your answer in 2 place decimal

0.167

Answer:

[tex]24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2[/tex]

Step-by-step explanation:

Area of right triangle formula is

[tex]A=\frac{ab}{2} \\\frac{5\frac{3}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{3}{5}=\frac{28}{5}\\\frac{\frac{28}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8\frac{2}{3}=\frac{26}{3}\\\frac{\frac{28}{5}\cdot \frac{26}{3}}{2}\\\mathrm{Multiply\:}\frac{28}{5}\cdot \frac{26}{3}\::\quad \frac{728}{15}\\=\frac{\frac{728}{15}}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{728}{15\cdot \:2}\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=\frac{728}{30}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{364}{15}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{364}{15}=24\frac{4}{15}\\=24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666[/tex]

Answer: -1.3125

Step-by-step explanation:

(-1/4 - 1/2) = -0.75

-0.75/[tex]\frac{4}{7}[/tex] = -1.3125

Answer:

y=3/2x-2

Step-by-step explanation:

gradient line 1= -2/3

perpendicular meaning gradients when multiplied should be -1

gradient line 2=3/2

y+2=3/2

x-0

y+2=3/2(x-0)

y+2=3/2x-0

y=3/2x-2

The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)

The standard equation of a line is y = mx+c, where m is the slope of the line.

We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,

Therefore, the slope of the asked line is 3/2.

Finding the c,

-2 = 3/2X0 + c

c = -2

Therefore, the equation will be,

y = 3x/2-2

Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2

For more references on slope, click;

https://brainly.com/question/3605446

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Answer:

Coordinates of M = [tex]\left ( -2,4 \right )[/tex]

Step-by-step explanation:

Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)

To find: coordinates of M

Solution:

According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]

Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]

Therefore,

[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]

Answer:

3.5

Step-by-step explanation:

Given: x-y=0.7

Finding: 5(x-y)

So we have that x-y=0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5

The answer to the expression is 3.5

In algebra, we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule.

Given:

x - y = 0.7

Finding: 5(x - y)

So we have that x - y = 0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5

An example of a mathematical expression with a variable is 2x + 3. All variables ought to have a coefficient, a variety that is multiplied by means of the variable. within the expression 2x + three, the coefficient of x is the variety 2, and its method 2 instances x plus three.

Learn more about the expression here: brainly.com/question/723406

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Answer:

-3/4

Step-by-step explanation:

The slope is given by

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

   = (-17- -2)/(24-4)

   = (-17+2)/ (24-4)

  = -15/20

  = -3/4

Answer:

y=-3/4x+1

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

12^1/2 * 12^1/2

= 12^(1/2 + 1/2)

= 12^1

= 12.

Answer:

[tex]x=8.5^o[/tex]

Step-by-step explanation:

Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.

So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:

[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]

Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:

[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]

Answer:

3. -5

Step-by-step explanation:

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the x-axis and

stretched vertically

Step-by-step explanation:

Given:

If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).

If we multiply -F(x) by 2, we stretch it vertically.

Answer:

x>-2

Step-by-step explanation:

13+x>11

Subtract 13 from each side

13-13+x>11-13

x>-2