The product of 7 and a number subtracted from 49 is 21. How do I write that as an equation?

Answer:

yes, it is 10 times as great

Answer: The answer is 10.

[tex]3\sqrt{578}-\sqrt{162}+4\sqrt{32}=\\\\=3\sqrt{289\cdot2}-\sqrt{81\cdot2}+4\sqrt{16\cdot2}=\\\\=3\sqrt{17^2\cdot2}-\sqrt{9^2\cdot2}+4\sqrt{4^2\cdot2}=\\\\=3\cdot17\sqrt2-9\sqrt2+4\cdot4\sqrt2=\\\\=51\sqrt2-9\sqrt2+16\sqrt2=51\sqrt2+7\sqrt2=\boxed{58\sqrt2}[/tex]

9514 1404 393

Answer:

  3p +24 +162/(p-6)

Step-by-step explanation:

The result of the division can be found using polynomial long division, or using synthetic division. The latter requires less writing and gives the same answer:

  [tex]\dfrac{3p^2+6p+18}{p-6}=3p+24+\dfrac{162}{p-6}[/tex]

9514 1404 393

Answer:

  k = 3

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

Using these rules, we can simplify the left-side expression, then equate exponents of the same base.

  [tex](3)^2(3^2)^k=3^8\\\\(3^2)(3^{2k})=3^8\\\\3^{2k+2}=3^8\\\\2k+2=8\qquad\text{equate exponents}\\\\k+1=4\qquad\text{divide by 2}\\\\\boxed{k=3}\qquad\text{subtract 1}[/tex]

Answer and Step-by-step explanation:

This graph is a One to One Function.

For a function to be one-to-one, each x value must have its own y-value, which is the case for this graph.

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If you draw a vertical line on the graph, and it intersects more than once, then the graph does not define as a function because that x value has more than one output (y).

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

x: -2

f(x): 1.5

x: 0

f(x): 0.5

x: 3

f(x): -1

Step-by-step explanation:

Answer:

3/2, 1/2, - 1

Step-by-step explanation:

x + 2y = 1 --> this is 'f(x)'. Sub in the each x-value to the equations.

First part:

x = -2

x + 2y = 1

-2 + 2y = 1

2y = 3

y = 3/2

Second part:

x = 0

x + 2y = 1

0 + 2y = 1

2y = 1

y = 1/2

Third part:

x = 3

x + 2y = 1

3 + 2y = 1

2y = -2

y = -2/2

y = - 1

Answer:

x < 6

Step-by-step explanation:

5x - 10 < 20

5x < 30

x <6

hope that helps

Answer:

C. 108

Step-by-step explanation:

The angles are known as same-side interior angles. They are supplementary angles so their sum is 180°.

[tex]y+72=180\\y+72-72=180-72\\y=108[/tex]

Solution is in attachment !!

[tex] \boxed{ \boxed{6 {x}^{3} + 19x + 2x + 5 }}[/tex]

Answer:

a. [tex]6x^{3}+19x^{2}+12x+5[/tex]

Step-by-step explanation:

[tex](2x+5)(3x^{2} +2x+1)\\\\6x^{3}+4x^{2}+2x+15x^{2}+10x+5=\\\\6x^{3}+19x^{2}+12x+5[/tex]

Answer:

13x – 7

Step-by-step explanation:

If "a number represents x", then:

The sum of 4 times a number and - 7, added to 9 times the number = (4x + -7) + 9x.

(4x + -7) + 9x →

(4x + 9x) + -7 →

(13x) + -7 →

(13x) – 7 →

13x – 7.

The unknown number will be equal to 4.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the sum of 4 times a number and - 7, added to 9 times the number is 45. The value of the unknown number will be calculated as below:-

The sum of 4 times a number and - 7, added to 9 times the number = (4x + -7) + 9x.

(4x + -7) + 9x = 45

(4x + 9x) + -7 = 45

(13x) + -7 = 45

(13x) – 7 = 45

13x – 7 = 45

13x = 45 + 7

13x = 52

x = 4

Therefore, the unknown number will be equal to 4.

The complete question is given below:-

The sum of 4 times a number and - 7, added to 9 times the number is 45. Calculate the value of an unknown number.

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Answer:

d

Step-by-step explanation:

round $4.45 to $4 and $37.50 to $38.

7 × $4 = $28, and $28 < $38.

Answer:

No , Option D is correct

Step-by-step explanation:

Their paid money is less that the cost of the gift ..

Answer:

No

Step-by-step explanation:

if your asking is 10 to the power of 4 is 1000000000000, it is not. 10 to the power of 4 is 10000

Answer:

tyrr

Step-by-step explanation:

g

The equation to represent the given phrase is 2p-4=-12.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is "Negative twelve is four less than twice a number, p."

Here, four less than twice a number, p is

2p-4

The difference is equal to -12.

Now, 2p-4=-12

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, transpose -4 to the other side of an equation, we get

2p=-12+4

2p=-8

p=-2

Therefore, the value of p is -2.

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Answer:

midpoint = (-2 , 6)

Step-by-step explanation:

The midpoint can be found with the formula {(x1 + x2 )/2, (y1 + y2.) P1( x1 , y1 ), and P2 (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

Answer:

Use the given functions to set up and simplify f(−4).

14

Step-by-step explanation:

Plug x + h into the function f and simplify to find f(x + h). Now that you have f(x + h), find f(x + h) - f(x) by plugging in f(x + h) and f(x) and simplifying. Plug your result from step 2 in for the numerator in the difference quotient and simplify.

https://study.com/academy/lesson/how-to-solve-the-difference-quotient.html

Answer:

Step-b2

0.20

3

0.25

4

0.45

5

0.10

y-step explanation:

Answer:

A

Step-by-step explanation:

-x - 10 > 14 + 2x

-x - 2x > 14 + 10

-3x > 24

Answer: A

Hey there! Here's your answer:

The missing steps are :  -3x > 24

Here's why:

The inequality is: -x - 10 > 14 + 2x

Now, we need to find the solution of the given inequality:

= x - 10 > 14 + 2x

Subtracting 2x from both the sides:

= -x - 10 - 2x > 14 + 2x - 2x

= -3x - 10 > 14

Adding 10 on both the sides:

= -3x - 10 + 10 > 14 + 10

= -3x > 24

Now, dividing both the sides by -3:

= x < -8

Therefore, the missing steps are:  -3x > 24

Hope this helps!

Answer:

sides = 61.5 yd

Step-by-step explanation:

hopefully the picture I have attached us clear and understandable

:)

Answer:

B

Step-by-step explanation:

Recall that [tex]7^a\cdot 7^b = 7^{a+b}[/tex]

So now

[tex]7^{2/3} \cdot 7^{1/3}\\= 7^{\frac{2}{3}+\frac{1}{4}}\\=7^{\frac{8}{12}+\frac{3}{12}}\\=7^{11/12}[/tex]

The equivalent value of the expression is A = 7^ ( 11/12 )

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the first number be p = 7 ^ ( 2/3 )

Let the second number be q = 7 ^ ( 1/4 )

And , A = pq

On simplifying , we get

A = 7 ^ ( 2/3 ) . 7 ^ ( 1/4 )

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

So , A = 7 ^ ( 2/3 + 1/4 )

A = 7 ^ ( 11/12 )

Hence , the equation is 7^ ( 11/12 )

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Answer:

4= -5v-1

5= 3x

6= 9y-6

7= h-20

8= 29w-17z

9= 8mn-2n+5m

Step-by-step explanation:

first three that you did were correct! Hope it helps!

Answer:

Step-by-step explanation:

Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.

So the odd positions go up 3 6 9 12

And the next odd position is 15 which is the nineth term.

It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.

The sum of 9 and 15 = 24

If someone gives you a more consistent answer, take it.

Answer:

the negative cancels out the positive

Answer:

A) 30 months

B) RM282

Step-by-step explanation:

a1=50+(1-1)8

a1=50+(0)8

a1=50

a2=50+(2-1)8

a2=50+(1)8

a2=58

So this is true.

The formula is an=50(n-1)8

Hope this helps

[tex]\dfrac{1}{6}:6=\dfrac{1}{6}\cdot\dfrac{1}{6}=\dfrac{1\cdot1}{6\cdot6}=\dfrac{1}{36}[/tex]

Answer:

The slope is 9

The y intercept is (0,7)

Step-by-step explanation:

y=9x+7

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 9

The y intercept is (0,7)

Answer:

angle WVU

angle UVW

angle VUW

Step-by-step explanation:

Answer:

0.53

Step-by-step explanation:

Basically just go to your calculator and put in 8 divded by 15