seven more than one fourth of a number is one less than one third of a number

[tex] - 4a - (8a + 1) = - 169 \\ \\ 4a + 8a + 1 = 169 \\ \\ 4a + 8a = 169 - 1 \\ \\ 12a = 169 - 1 \\ \\ 12a = 168 \\ \\ a = \frac{168}{12} \\ \\ a = 14 \\ \\ this \: was \: helping \: you[/tex]

Step-by-step explanation:

Okay so remember the BODMAS rule where u start with brackets right; Since we're proving that RHS =LHS ,we look at the side which is more complicated and solve it first.

RHS: -4a-(8a+1) =-169

-4a-8a-1=-169

-4a-8a= -169+1 ( N:B like terms)

-12a= -168

-12a/-12= -168/-12

a= 14

Then go back to the original equation and subtitute .

where u see a u put the value u calculated.

-4a-(8a+1)=-169

-4(14)-(8(14)+1)= -169

-169= -169 and u DONE!!

The degree of a polynomial is the value of the highest degree of a monomial in the polynomial

The degree of the polynomial h(x) is 5

The reason the above value is correct is as follows;

Given;

A zero of a polynomial function h(x) is the imaginary number, x = 3 - 4·i

The multiplicity of the root at x = 3 - 4·i is One

The given table showing the real roots of the polynomial is presented as follows;

[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{h(x)}\\\displaystyle -5&&0\\-2&&3\\-1&&0\\1&&2\\4&&0\\7&&6\\10&&0\end{array}\right][/tex]

Required:

To find the degree of the polynomial, h(x)

Solution:

The maximum number of roots of a polynomial is given by the degree of the polynomial

The number of roots is given by the number zeros

The maximum number of roots an nth degree polynomial can have = n roots

From the given table, the number of zeros = 4 (each with multiplicity of one) = The number of real roots

Therefore, the total number of roots of the polynomial = 4 + 1 = 5 = The (minimum possible) degree of the polynomial

The degree of the polynomial = 5

Learn more about degree of a polynomial here:

https://brainly.com/question/2706981

Answer:

-5/14 (change 2/7 to 4/14 and it’ll help)  

Answer:

a. y = -3

b. x = -3

c. z = - 1

d. y = -7

Step-by-step explanation:

a. 5y - 3 = - 18

5y = -18 +3

5y = -15

y = -15/5

y = - 3

b. -3x - 9 = 0

-3x = 9

x = 9/-3

x = -3

c. 4 + 3(z-8)= -23

4 + 3z-24 = -23

3z - 20 = -23

3z = -23 + 20

3z = -3

z = -3/3

z = - 1

d. 1 - 2(y-4) = 5

1 - 2y + 8 = 5

9 - 2y = 5

-2y = 14

y = 14/-2

y = -7

By observing the table we can conclude that for the number of years to travel back double the electricity is required .

i.e. for 5 years = 10 megawatts

therefore, the relationship between x and y can be depicted by the following equation :

[tex] \boxed{ \boxed{y = 2x}}[/tex]

Answer:

1/2

Step-by-step explanation:

3 is half of 6  so the smallest term would be 1/2.

Answer:

They can be arranged 6 times

Step-by-step explanation:

Robert, Susan, Tod... Tod, Susan, Robert... Susan, Robert, Tod... Tod, Robert, Susan... Susan, Tod, Robert... Robert, Tod, Susan.

Answer:

m = 4

Step-by-step explanation:

[tex]16(4 - 3m) = 96( \frac{ - m}{2 + 1} )[/tex]

[tex]64 - 48m = 96 \times \frac{ - m}{3} [/tex]

[tex]64 - 48m = - 32m[/tex]

[tex] - 48m + 32m = - 64[/tex]

[tex] - 16m = - 64[/tex]

[tex]m = 4[/tex]

Answer:45 divided by 3 is 15

Step-by-step explanation:

Answer:

its 15

I'm bad at explaning

Answer:

Algebra 2p-4<-3p-7 Solver Shows Steps Quadratic Equations, Exponents, Polynomials ... ... 2 p −4<−3 p −7. Enter an equation or problem. Calculator Icon

Answer:

C. 2/3

Step-by-step explanation:

To find the slope of a line from two points, use this formula.

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

The variable 'm' means slope in algebra.

y² means the second y-coordinate and y^1 means the first y-coordinate.

Based on the previous definition, it should be easy to figure out what x² and x^1 mean.

[tex](2,4),(5,6)[/tex]

[tex]m=\frac{6-4}{5-2} =\frac{2}{3}[/tex]

Therefore, the slope of the line passing through the points (2,4) and (5,6) is 2/3.

Let me know if you have any questions.

Answer:

Its the C graph

Step-by-step explanation:

Answer:

Standard form: [tex]4x + 3y = 18[/tex]

x-intercept:  [tex](\frac{9}{2} ,0)[/tex]

y-intercept: [tex](0,6)[/tex]

Graphed:

Hello :D

To do this you need to add the cost of the violin and the song book.

$72.21 + $7.25 = $79.46

$100 - $79.46 = $20.54

The answer is $20.54. I hope this helps :)

Answer:

Integers

Step-by-step explanation:

Answer:

Step-by-step explanation:

by reading the graph that says one square is the size 1 we can see that PX starts at 0 on the x -axis, and ends at 7 on the x-axis (horizontal) so

PX = 7 units

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

A is true: 1 > 0, and f (1) = 1² - 1 = 0.

B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.

C is false: 4 > 0, and f (4) = 4² - 1 = 15.

D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.

Answer:

y=95

Step-by-step explanation:

17x5=85

180-85=95

y=95

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.

∠1 = ∠3

5x° = 85°

x = 85° / 5

x = 17°

Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,

∠1 + ∠2 = 180°

5x + y = 180°

Substitute the value of x,

5(17°) + y = 180°

85° + y = 180°

y = 180° - 85°

y = 95°

Hence, the value of x and y is 17 and 95, respectively.

The complete question is mentioned below.

Learn more about Vertical Angles here:

https://brainly.com/question/24460838

#SPJ2

Answer:

Step-by-step explanation:

5^2=.25

1^2=1

-1^2=-1

Prime factorization is shows you the only way a number can be factored.

Here are some examples:

6 = 2 x 3

(2 and 3 are prime numbers) If you need to, search up a prime chart of numbers. Also prime numbers is technically how small you can get a number.

Here are some more examples:

12 = 2 x 2 x 3

45 = 5 x 3 x 3

now that you see what it looks like, you may be wondering how did factor those out? Well first find a divisible number. lets use this example;

Factor out 42.

first think of your times table, what two numbers get you to 42, I know that 6 times 7 does so now write it out:

42 = 6 x 7

Is this equation done?

No it is not, 6 can still be factored.

What two numbers get you the product of 6?

they are 3 and 2.

Now the final factored out equation looks like this:

42 = 3 x 2 x 7

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

I hope this helps!

Answer:

3(x+5)

hope it helps you

Answer:

f-2

Step-by-step explanation:

difference means subtractions

f-2

Step-by-step explanation:

Objective; Translating points

A translation is when we moving figures and points. We can represent a transformation algebraically and geometrically.

Algebracially:

[tex](x + h)[/tex]

where h is the amount of units we move right or left

and

[tex](y + k)[/tex]

where k is the amount of units we move up or down

For 1. We are asked to translate the figure 3 units up and 7 units to the left.

7 units to the left is the same as subtracting 7 . from x valyes. and 3 units up is is same as adding 3 units to the y values, so subtract 7 from every x coovalues. and add 3 to every y value. is

Our new coordinates

E is (-5,3) F is (-2,4) G is (-3,5) H is (-5,5).

2. 6 units right and 8 units up is basically add 6 to every x value and add 8 to every y value.

So our new coordinates is

T' (1,3)

U' (4,3)

V'(4,5)

W'(1,5)

8) v = -3

9) m = 4

Explanation:

8)

[First distribute the factored terms on the left side of the equation]

2(v + 4) + 3(4v + 5) = -19 →

2(v) + 2(4) + 3(4v) + 3(5) = -19 →

2v + 8 + 12v + 15 = -19 →

[Next, add the like terms together]

(2v + 12v) + (8 + 15) = -19 →

14v + 23 = -19 →

[Subtract 23 from both sides to isolate the constant term]

14v + 23 – 23 = -19 – 23 →

14v = -42 →

[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]

14v / 14 = -42 / 14 →

v = -3

9)

[Start by distributing the factored term on the left side of the equation]

2(m – 1) = 10 – m →

2m – 2 = 10 – m →

[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]

2m – 2 + m = 10 – m + m →

3m – 2 = 10 →

[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]

3m – 2 + 2 = 10 + 2 →

3m = 12 →

[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]

3m / 3 = 12 / 3 →

m = 4

[tex] \frac{2 {x}^{5} }{15} + \frac{ {x}^{4} }{4} - \frac{ {x}^{3} }{6} + c[/tex]

simplified form =

[tex] \frac{ {x}^{3}(8 {x}^{2} + 15x - 10) }{60} + c[/tex]

Answer:

136 miles

Step-by-step explanation:

Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.

Let x = number of miles.

The total cost is the cost per mile plus the base fee.

1 mile costs $0.90

2 miles cost $0.90 * 2

x miles cost $0.90 * x, or simply 0.9x

The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95

The equation

c = 0.9x + 16.95

gives you the cost, c, for a rental of x miles.

We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.

139.35 = 0.9x + 16.95

Switch sides.  

0.9x + 16.95 = 139.35

Subtract 16.95 from both sides.

0.9x = 122.4

Divide both sides by 0.9

x = 122.4/0.9

x = 136

Answer: 136 miles

Answer:

m= 1/10

Step-by-step explanation:

1. Move the terms so that will be 3m - 2m=-1/2 + 3/5

2. Subtract the m values so that will be 3m - 2m= 1 or m

3. Calculate the sum.

4. So the answer will be m= 1/10. M because we subtracted 2 from 3 which make us 1 so we say it m and 1/10 by doing 1/2 + 3/5.

Answer:

Step-by-step explanation:

3m - 3/5 = 2m - 1/2

3m - 2m = 3/5 - 1/2

m = 0.1

Answer: -$28

Step-by-step explanation: Since Monique has $12, then she subtracts $40 from that. 12 - 40 = -28.

Hope this helps!

Answer:

look we solve it without options

4 - 2x = 24

4 - 2x -4 = 24 -4

SO FIRSTLY SUBTRACT 4

-2x = 20

-2x /-2 = 20 /-2

SO DIVIDE BY -2

X = - 10

So analyse options and u will know that option b is correct :))