Please solve the inequality for p
4p + 2 < 2(p + 5)

One number is six times as large as a certain smaller number.

i.e., Y  = 6x

Answer is 6x

The larger number in terms of x is 6x.

To write the larger number in terms of x, we know that the larger number is six times as large as the smaller number. Let x represent the smaller number, so the larger number can be written as 6x.

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Hey there!!

The question states that a sum is invested which is $3000 and hence, this would be counted as the principle amount or the principle sum.

The term given is 3 years, which gives us the idea that this interest is being counted or being active for 3 years.

She ( Diana ) earned the sum $450 at the end of three years. This means, the simple interest is $450.

Never get confused with the principle amount, principle sum and interest.

Principle amount = Principle sum + The interest.

Formula given :

I = prt

'p' is denoted as the principle sum, r is the rate and the t is the term or the number of years.

Now, plugging in all the values :

... 450 = 3000×r×3

... 450 = 9000×r

... r = 450 / 9000

... r = 0.05

... r = 5%

As we need the answer in the decimal form, the answer would be 0.05

Hope my answer helps!!

7 squared is 49, and 9 squared is 81. 49+81=130   7,9 are your answers

Answer:

14. The correct option is 2.

13. The correct option is 4.

Step-by-step explanation:

14.

The given function is

[tex]f(x)=4|x|[/tex]

The function is non-negative for all values of x. So, the function opens in upward direction.

The function uis in the form of

[tex]f(x)=k|x|[/tex]

Where, a is vertical stretch factor or compress factor.

If k>1, then it represent vertical stretch and if 0<k<1, then it represent vertical compression.

Since the value of k is 4, therefore it represents vertical stretch and option 2 is correct.

13.

The given function is

[tex]y=x^3[/tex]

The traslate form of given function is

[tex]y=(x+a)^3+b[/tex]

Where, a represents the horizontal shift and b represents the vertical shift.

If a>0, then the graph shifts left side by a units and if a<0, then the graph shifts right side by a units.

If b>0, then the graph shifts upward by b units and if b<0, then the graph shifts downward by b units.

Since the graph shifts vertically 5 units down and horizontally 4 units left, therefore the value of a is 4 and value of b is -5. The required equation is

[tex]y=(x+4)^3-5[/tex]

Therefore option 4 is correct.

662.46 is your answer

The required Kendall's monthly mortgage payment is $662.14.

Simple interest is defined as the percentage of earnings on the lending for a period of time.

Here,
Kendall's down payment is 12% of $119,000, which is:

0.12 * $119,000 = $14,280

So the amount she is financing is:

$119,000 - $14,280 = $104,720

To calculate her monthly mortgage payment, we can use the formula for a fixed-payment loan:

[tex]M = P * (r / (1 - (1 + r)^{-n}))[/tex]

First, we need to calculate the monthly interest rate. The annual interest rate is 4.5%, so the monthly interest rate is:

4.5% / 12 = 0.375%

Next, we need to calculate the total number of monthly payments. Kendall has a 20-year loan, which is:

20 years * 12 months/year = 240 months

Now we can plug in the values and solve for M:

[tex]M = $104,720 * (0.00375 / (1 - (1 + 0.00375)^{-240}))[/tex]

M = $662.14

So Kendall's monthly mortgage payment is $662.14.

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There 2 which are correct

13/3 - 4/6

= 13/3 - 2/3

=  11/3

and

3/2 - 1/6

= 9/6 - 1/6

= 8/6

= 4/3

The slope-intercept form of a line: y = mx + b

m - slope, b - y-intercept

We have:

y-intercept = -8. Substitute:

y = mx - 8

x-intercept = -6 for y = 0. Substitute:

0 = m(-6) - 8

0 = -6m - 8      |+6m

6m = -8    |:6

m = - 8/6

m = - 4/3

Answer; y = - 4/3 x - 8

To complete the square for the equation x²-7x = 5, you need to add 12.25 to both sides of the equation, leading to the equation (x - 3.5)² = 17.25.

To complete the square in the equation x²-7x = 5, we will need to find a term (b) to add to both sides where b is one-half of the number being subtracted from x² (-7), squared.

First, we will take half of 7 which equals 3.5. Squaring 3.5, we get 12.25. Therefore, we add 12.25 on either side to complete the square.

The equation then becomes x² - 7x + 12.25 = 5 + 12.25, which simplifies to (x - 3.5)² = 17.25. This represents a completed square.

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To complete the square for the equation [tex]x^2-7x=5[/tex], you need to add 12.25 to both sides. This forms a perfect square trinomial (x - 3.5)² on the left side of the equation and results in the number 17.25 on the right side.

The provided equation is a quadratic equation (it's in the form of ax² + bx + c = 0), and you're asked to complete the square.

In order to complete the square, you take half of the coefficient of the 'x' term (which is -7 in this case), square it and add it to both sides of the equation. So, half of -7 is -3.5, and -3.5² equals 12.25.

Therefore, adding 12.25 to both sides of the equation completes the square and forms a perfect square trinomial on the left:

[tex]x^2 - 7x + 12.25 = 5 + 12.25[/tex]

Which simplifies to:

[tex](x - 3.5)^2 = 17.25[/tex]

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Using the distance formula, it equals sqrt(1)

Two Angles are Supplementary when they add up to 180°.

m∠2 + m∠1 = 180° (*)

If ∠1 ≅ ∠3, then m∠1 = m∠3.

Substitute to the (*)

m∠2 + m∠3 = 180°

Therefore ∠2 and ∠3 are supplementary.

Answer:

Total time taken for doing home work = 3.6 hours.

Explanation:

Time taken for English home work = 1.15 hours.

Time taken for Mathematics home work = 1.75 hours.

 Time taken for Science home work = Time taken for Mathematics home work - 1.05 hours = 1.75 - 1.05 = 0.7 hours

 Total time taken for doing home work = 1.15 + 1.75 + 0.7 = 3.6 hours.

So the answer is not 4 hours, it is 3.6 hours, that is why it is showing it as wrong.

I’m pretty sure the answer is B. Add 15 to 73. Divide 88 by 8 to get 11. A>11

Now for this you would have to think what two numbers multiplied to get 6x^2. Let's say for example 3x and 2x=6x^2

And now what two numbers multiplied together make -15, For example it can be 5 and -3

Now your ANSWER: (3x+5)(2x-3)

That would be choice C.

The graph of  4|x| is shaped like a V whose vertex is at the origin.

Every y value will be positive for y = 4|x|  as |x| is always positive  and a reflection in the x axis will make every y value negative.

Through moving up c units, the graphs of g can be determined from the graph of f. If we subtract c from f(x), the graph shifts downward. Let [tex]\bold{ h(x) = f(x) - c}[/tex]. Shifting downward c units yields this graph of h from the graph of f.

Given:

[tex]\bold{f(x)=4|x|}[/tex]

Calculation:

           [tex]\bold{g(x)=-(4|x|)}\\\\\bold{g(x)=-4|x|}\\\\[/tex]

So, the equation [tex]g(x)=-4|x|[/tex] describes [tex]g(x)[/tex].

Therefore, the final choice is "Option C".

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The GCF is 1.

Explanation:

1 has: 1 (LOL)

12 has: 1,2,3,4,6,12

16 has: 1,2,4,8,16

21 has: 1,3,7,21

24 has: 1, 2, 3, 4, 6, 8, 12, 24

30 has:  1, 2, 3, 5, 6, 10, 15, 30

44 has:  1, 2, 4, 11, 22, 44

70 has: 1, 2, 5, 7, 10, 14, 35, 70

So therefore, The GCF is 1

Hope this helps!

-Queenb369

P.S Could you possible give me the brainlist if i get it right.

Only point U.

Therefore your answer is ONE.

Answer:

B) One

Step-by-step explanation:

If the points are collinear, then they lie on the same line.

Here U is lie on the same line where C and D points lie.

Therefore, answer is B) One.

Hope this will helpful.

Thank you.

We are given statement:  "In order to earn credit for your Algebra 1A course, you must earn at least 70%."

We need to define a variable and write an inequality for the given situation.

Let us assume variable for now for earn credit = c.

Now, we can repharse the given statement as " earn credit c must be atleast 70%".

Therefore, we can write the inequality for above rephared statement as :

c ≥ 70 : Read as c is greater than 70.

B

Assuming you mean the value of f(5)

If so then substitute x = 5 into f(x)

f(5) = (3 × 5) - 2 = 15 - 2 = 13 → B

Answer:

a) The slope is : 3.333

b) [tex](y-92)=3.333(x-4)[/tex]

c) [tex]y=3.333x+78.66[/tex]

Step-by-step explanation:

a) - The formula to calculate the slope is:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

- Use the given points to calculate the slope:

[tex]y_{2}=82\\y_{1}=92\\x_{2}=1\\x_{1}=4[/tex]

[tex]m=\frac{82-92}{1-4}\\m=\frac{10}{3}\\m=3.333[/tex]

b) - The equation of the linear model in point-slope form is:

[tex](y-y_{1})=m(x-x_{1})[/tex]

Where [tex]m[/tex] is the slope and [tex]x_{1},y_{1}[/tex] are the coordinates of a point.

- Substitute values:

[tex](y-92)=3.333(x-4)[/tex]

c) - The equation of the linear model in slope-intercept form is:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

- Let's find [tex]b[/tex]. Use one of the points given in the problem to solve for [tex]b[/tex]:

[tex]92=3.333(4)+b\\b=92-13.332\\b=78.66[/tex]

- Therefore, the equation is:

[tex]y=3.333x+78.66[/tex]

The correct answer is coplanar

EXPLANATION

Coplanar means the three points A , B and Q are on the same plane.

They are not colinear, because they are not in a straight line. It is only A and Q that are on the same straight line. If B had fallen in line with them, the three points would have been collinear as well.

Answer:

the answer is coplanar

Step-by-step explanation:

Answer : C

[tex]f(x)= \sqrt{x}[/tex]

[tex]g(x)= \sqrt{x-5}[/tex]

Parent function is f(x). In g(x) 5 is subtracted from x

If any number is added or subtracted from x, then we move left or right

When a number 'a' is added with x  then we shift 'a' units to the left

When a number 'a' is subtracted from x  then we shift 'a' units to the right

f(x) is our parent function. Here 5 is subtracted from x to get g(x)

For -5, the graph of g(x) is the graph of f(x) shifted right 5 units

the first answer would be C

the next 3 questions are ACB

Let's assume

Let's assume that fraction as 'x'

and whole number as 'n'

Olivia divided a fraction by 3/4

so, we get

[tex]\frac{x}{\frac{3}{4} }[/tex]

The quotient was a whole number

so, we get

[tex]\frac{x}{\frac{3}{4} }=n[/tex]

now, we can solve for x

[tex]\frac{3}{4}\times \frac{x}{\frac{3}{4} }=\frac{3}{4}\times n[/tex]

[tex]x=\frac{3n}{4}[/tex]

where n is whole numbers

At n=0:

[tex]x=\frac{3*0}{4}[/tex]

[tex]x=0[/tex]

here , x is not fraction

so, n=0 is not possible

At n=1:

[tex]x=\frac{3*1}{4}[/tex]

[tex]x=\frac{3}{4}[/tex]

At n=2:

[tex]x=\frac{3*2}{4}[/tex]

[tex]x=\frac{3}{2}[/tex]

we know that x is dividend

and x can be equal to 3/4

and greater than 3/4

But it can not be less than 3/4..............Answer

Answer:

Let's assume

Let's assume that fraction as 'x'

and whole number as 'n'

Olivia divided a fraction by 3/4

so, we get

The quotient was a whole number

so, we get

now, we can solve for x

where n is whole numbers

At n=0:

here , x is not fraction

so, n=0 is not possible

At n=1:

At n=2:

we know that x is dividend

and x can be equal to 3/4

and greater than 3/4

But it can not be less than 3/4..............Answer

Step-by-step explanation:

The answer is A=D apex

Answer:

It's the first one, I just literally got done taking the test it was my last question anyways.