What are “like terms”? Why can we only add like terms?

13.)What is the closure property? What does it have to do with adding, subtracting, and multiplying polynomials?

Answer:

no solutions

Step-by-step explanation:

-7 does not equal 7, so there are no solutions.

Infinite solutions would be if it was two equal values, for example, 7 = 7.

Answer:

y=-x-7

Step-by-step explanation:

Slope-intercept form is y=mx+b

We have the equation 4x+4y=-28 and must put it into the form above. To do this first subtract 4x from both sides.

4x-4x+4y=-28-4x

This equals 4y=-4x-28. Now, divide 4 from both sides.

4y/4=-4x/4-28/4

y=-x-7

Hope this helps!

If not, I am sorry.

Answer:

63

Step-by-step explanation:

A circle is 360 degrees

So, subtracting 297 from 360, we'd get 63 degrees

"Law of conservation of Mass and Energy", is the reason for which it is important to keep the two sides of an equation balanced when solving.

The other properties that we should consider while rewriting the expressions of an equation is that we should not multiply or divide the expressions by zero on both the sides.

According to the law of conservation of mass, mass is neither generated nor destroyed during a chemical process. For instance, when coal is burnt, the carbon atom in it transforms into carbon dioxide. The carbon atom transforms from a solid to a gas, yet its mass remains constant. Similar to this, according to the law of conservation of energy, energy cannot be generated or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.

While rewriting expressions of an equation, we should not multiply or divide them by zero, as multiplying or dividing by zero makes two non-equal expressions equal (0 and ∞ respectively.

This is the reason why is it important to keep the two sides of an equation balanced, and that the expressions should not be multiplied or divided by zero.

Learn more about the law of conservation of mass and energy at

https://brainly.com/question/19038178

#SPJ4

Answer:

(-1,4)

Step-by-step explanation:

Step 1) Change both equations to slope intercept form

3x+y=1 ---> y=-3x+1

5x+y=-1 ---> y=-5x-1

Step 2) Plot lines accordingly on graph

Lines intersect at (-1,4)

Answer:

C

Step-by-step explanation:

(1/4)^x-2 is the answer

The point on the graph f(x) = 3.4ˣ is (0, 1)

None of the given options is correct.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

To determine which point is on the graph of f(x) = 3.4ˣ, we need to substitute the given x-coordinate into the function and see if we get the given y-coordinate.

Let's try each option:

A. (1, 12): f(1) = 3.4¹ = 3.4, so this point is not on the graph of f(x) = 3.4ˣ.

B. (0, 12): f(0) = 3.4⁰ = 1, so this point is not on the graph of f(x) = 3.4ˣ.

C. (12, 1): f(12) = 3.4¹² ≈ 108089.7, so this point is not on the graph of f(x) = 3.4ˣ.

D. (0, 1): f(0) = 3.4^0 = 1, so this point is on the graph of f(x) = 3.4ˣ.

Therefore, the point (0, 1) is on the graph of f(x) = 3.4ˣ. The answer is option D.

To learn more about the function;

brainly.com/question/28303908

#SPJ7

Answer:$440, 9

Step-by-step explanation:

The relationship between the number of the times eating out in the total budget represent a linear function.

"A linear functions are those whose graph is a straight line."

Given, I already spent $160 on groceries for the week.

Each time I eat out you will spend another $40.

Let, I eat 'x' times during vacation.

Therefore, the required function will be:

f(x) = 160 + 40x

Hence, the function is a linear function.

Learn more about a linear function here: https://brainly.com/question/21107621

#SPJ3

Answer:

5 blue marbles

10 Red marbles

3 Green marbles

Step-by-step explanation:

5 times 2 = 10

then 5-2 =3

Add 5+10+3

=18 Marbles in total

Answer:

the answer is (3,4) is the solution to line A but not to line b

Answer:

The slope of the line is -1.

Step-by-step explanation:

SLOPE OF A LINE FORMULA

SLOPE = Y2 - Y1/ x2 - x1

m = Y2 - Y1/ x2 - x1

m = 3 - 7 / 2- (-2)

m = -4/4

m = -1

The slope of the line is -1.

Using the given information, the width of the river is 505.96 m

From the question, we are to determine the width of the river

Consider the given diagram,

Let F be the first position of the biker

S be the second position

and C be the position of the church

First, we will determine the distance covered from F to S

Speed = 160m/min

Time = 4 minutes

Using the formula,

Distance = Speed × Time

Distance covered = 160 × 4

Distance covered = 640 m

That is, /FS/ = 640 m

Now, consider ΔFSC

∠F = 90° - 70° = 20°

∠S = 90° + 56° = 146°

and ∠C = 180° - 20° - 146° = 14°

By the Law of Sines

[tex]\frac{/FC/}{sin\ S}= \frac{/FS/}{sin\ C}[/tex]

∴ [tex]\frac{/FC/}{sin\ 146^\circ}= \frac{640}{sin\ 14^\circ}[/tex]

[tex]/FC/ =\frac{640 \times sin \ 146^\circ}{sin \ 14^\circ}[/tex]

/FC/ = 1479.33 m

Now,

By SOH CAH TOA

[tex]cos \ 70^\circ = \frac{d}{/FC/}[/tex]

NOTE: d is the width of the river

∴ d = /FC/ × cos70°

d = 1479.33 × cos70°

d = 505.96 m

Hence, the width of the river is 505.96 m

Learn more on Bearing and distances here: https://brainly.com/question/19351991

#SPJ1

Answer:

-2

Step-by-step explanation:

15-8+-9

bodmas

15-8=7

7-9

=-2

Answer:

D

Step-by-step explanation:

x² + y² = 64, because when x is 0, y = ± 8, when y is 0, x = ± 8, that is the radius r

The equation of a circle with center at the origin and radius 8 is,

⇒ x² + y² = 64

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

This circle is centered at the origin, and the length of its radius is 8.

Since, The equation of a circle with center at the origin and radius r is,

⇒ x² + y² = r.

Hence, for this circle, the equation would be;

⇒ x² + y² = 8²,

or simplified,

⇒ x² + y² = 64

Thus, The equation of a circle with center at the origin and radius 8 is,

⇒ x² + y² = 64

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ5

Answer:

3x²y²(1 - 4xy²z)

Step-by-step explanation:

________________________________________
Factor 3 out of 12
Factor x² out of x³
Factor y² out of y⁴

you will get the GCF of 3x²y² and left with (1 - 4xy²z)

3x²y²(1 - 4xy²z)
________________________________________

Hoped this helped

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow C.\:factor \:\: out \:\: 2x [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 2 {x}^{3} - 18 {x}^{2} + 40x[/tex]

[tex]\qquad \tt \rightarrow \: 2x(x {}^{2} ) - 2x(9x) + 2x(20)[/tex]

[tex]\qquad \tt \rightarrow \: 2x( {x}^{2} - 9x + 20)[/tex]

Henceforth, The most efficient first step in factorising the given trinomial is to factor out 2x

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

it is a 50 50 %chance so it is random this is called probability the probability of blue is half so it is by chance I chose blue

The true statements about the arcs and angles in circle C are:

In Geometry, the sum of the measures of the interior angles in a quadrilateral is equal to 360°. Thus, we have:

m∠G + m∠GDC + m∠DCE + m∠GEC = 360°

60 + 90 + m∠DCE + 90 = 360

240 + m∠DCE = 360

m∠DCE = 360 - 240

m∠DCE = 120°.

Since ∠DFE is an inscribed angle that is subtended by arc DE, we have:

m∠DFE =  m∠DCE

m∠DFE =  120

m∠DFE = 1/2 × 120

m∠DFE = 60°.

Therefore, ∠EFD ≅ ∠EGD.

From circle C, we can deduce that side ED is subtended by arc ED and side FD is subtended by arc FD (side ED ≅ side FD). Thus, arc ED ≅ arc FD and m arc FD is equal to 120°.

Read more on arcs and angles here: https://brainly.com/question/24043080

#SPJ1

Answer:

A C E

took quiz

Answer:

y =  -x + 7.

Step-by-step explanation:

General form:-

y = mx + c where m = slope. So:

y = x + 2 has a slope of 1.

The line perpendicular to it has slope -1/1 = -1

To find the required line we use the point-slope form with m = -1, x1 = 3 and y1 = 4.

y - y1 = m(x - x1)

y - 4 = -1(x - 3)

y - 4 = -x + 3

y =  -x + 7.

Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.

To find the equation, we need to insert the points (x,y) in the calculator.

Researching the problem on the internet, the values of x and y are given as follows:

Hence, using a calculator, the equation for the average minutes per mile after t days is given by:

V(t) = -0.15143t + 8.28

Hence, for the 9th day, t = 9, hence the estimate is:

V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.

More can be learned about regression equations at https://brainly.com/question/25987747

#SPJ1

Answer:

The next 3 numbers will be 1 3/4, 2, and 2 1/4

Step-by-step explanation:

The numbers in the sequence are increase by 1/4. So to find the next number in the sequence and 1/4 to the previous number. Don't foget to simplify your answers. Ex.) Rather than saying 2 2/4 you would say 2 1/2.

Proved Below

[tex]\Longrightarrow x-y = \sqrt{(x+y)^2-4xy}[/tex]

[tex]\Longrightarrow x-y = \sqrt{x^2+2(x)(y)+ y^2-4xy}[/tex]

[tex]\Longrightarrow x-y = \sqrt{x^2+2xy-4xy+y^2}[/tex]

[tex]\Longrightarrow x-y = \sqrt{x^2-2xy+y^2}[/tex]

[tex]\Longrightarrow x-y = \sqrt{(x-y)^2}[/tex]

[tex]\Longrightarrow x-y =x-y[/tex]

Let's check

x-y=√(x+y)²-4xy

Solve RHS

Hence proved

Answer:

$29

Step-by-step explanation:

Substitute x with 8.

3(8) + 5 = 24+5 = 29

Answer: $29

Step-by-step explanation:

x = # toys

if the number of toys is 8

substitute 8 into x

y = 3(8) + 5

y = 24 + 5

y = 29

The true statement about the triangle is (a) b^2 + c^2 > a^2

The sides are given as:

a, b and c

The angle opposite of side length a is an acute angle

The above means that:

The side a is the longest side of the triangle.

The Pythagoras theorem states that:

a^2 = b^2 + c^2

Since the triangle is not a right triangle, and the angle opposite a is acute.

Then it means that the square of a is less than the sum of squares of other sides.

This gives

a^2 < b^2 + c^2

Rewrite as:

b^2 + c^2 > a^2

Hence, the true statement about the triangle is (a) b^2 + c^2 > a^2

Read more about triangles at:

https://brainly.com/question/2515964

#SPJ1

Answer: y = (x-1)(x-1)

Step-by-step explanation:

There is pretty much no vertical shift so that immediately rules out B and C.

We can solve y = (x-1)(x-1) and get x = 1

The graph shows x = 1 as a zero, so we know this graph is correct.

cranberry juice = 350 ml

blueberry juice = 2 liters = 2000 ml

Ratio of cranberry juice : blueberry juice = 350 : 2000 = 7 : 40

The simplest ratio is 7 : 40    or    7/40

Answer:

No solution

Step-by-step explanation:

Work Shown:

r = 8 = radius

h = 63 = height

V = volume of the cone

[tex]V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*8^2*63\\\\V = \left(\frac{1}{3}*8^2*63\right)\pi\\\\V = \left(\frac{1}{3}*63*8^2\right)\pi\\\\V = \left(21*64\right)\pi\\\\V = 1344\pi\\\\[/tex]

Side note: You could write the symbol π as "pi" without quotes.

The equation that shows the relationship between the variables are T = 0.112N, D = 54A and T = 62.5A

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

Let k represent the constant of proportionality

3) T = kN

28 = 250k

k = 0.112

i) T = 0.112N

ii) T = 0.112(300) = 33.6

iii) 98 = 0.0112N

N = 875

4) D = kA

270 = 5k

k = 54

i) D = 54A

ii) D = 54(4.5) = 243

iii) 324 = 54A

A = 6

5) T = kA

150 = 2.4k

k = 62.5

i) T = 62.5A

ii) T = 62.5(1.8) = 112.5

iii) 3(60) = 62.5A

A = 2.88

The equation that shows the relationship between the variables are T = 0.112N, D = 54A and T = 62.5A

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1