Graph the following inequality:

for the first time in a few days and

Answer:

x>−5.576923

Step-by-step explanation:

2.6x+2>−12.5

Step 1: Subtract 2 from both sides.

2.6x+2−2>−12.5−2

2.6x>−14.5

Step 2: Divide both sides by 2.6.

2.6x

2.6

>

−14.5

2.6

x>−5.576923

By the remainder theorem, the remainder upon dividing a polynomial p(x) by x - c is equal to p(c).

Here, p(x) = x² + 5x + k and c = 8, which gives

p (8) = 8² + 5•8 + k

93 = 64 + 40 + k

k = -11

Answer: 4 songs and 11 games

Step-by-step explanation:

Sorry if I’m wrong!

Answer:

620 customers

Step-by-step explanation:

Customers at an ice-cream shop took a survey.

Let the total number of customers who took the survey be represented by x

We are told in the question that:

The results showed that 279 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey.

Hence:

45% of x = 279 customers

= 45/100 × x = 279 customers

45x /100 = 279

Cross Multiply

45x = 100 × 279

x = 27900/45

x = 620 customers

The total number of customers who took the survey is 620 customers

Answer:

48

Step-by-step explanation:

Answer:

f(2) = 3 * 2^2 + 6 * 2 = 3 * 4 + 12 = 24

Step-by-step explanation:

Step-by-step explanation:

[tex]\dfrac{5^7}{5^2}\qquad|\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=5^{7-2}=5^5[/tex]

Answer:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation:

hope this helps

Answer:

Breadth = 10 cm.

Difference in area = 4 cm^2 ( the square encloses more area).

Step-by-step explanation:

The perimeter  of the square = 4*12 = 48 cm.

If the length of the rectangle is 14 then

2*14 + 2b  = 48  where b is the breadth.

28 + 2b = 48

2b = 20

b = 10 cm.

A square encloses more area than a rectangle for a given length of wire.

Area  of the square = 12^2 = 144cm^2  and

area of the rectangle = 14*10 = 140 cm^2.

Answer:

AC is the longest side

AB is the shortest

Step-by-step explanation:

Generally, the side that faces the smallest angle has the smallest side while the side that faces the largest angle has the largest side

The measure of the third angle C is 180 - 55 -75 = 50

Kindly note that A faces BC

B faces AC

C faces AB

So while AC is the longest side, AB is the shortest

So the correct answers are;

AC is the longest side

AB is the shortest side

Answer:

No (unless you count them both being numbers then no!)

Step-by-step explanation:

Hope this helps! :)

Answer:

280.

Step-by-step explanation:

You can just do basic math. 20, times 14. You can also use a multiplication table, look for 20, and count 14 times. (If the table goes up to 20.)

Answer:

$1575

Explanation:

Answer:

$131.25

Step-by-step explanation:

We'll need to review the simple interest formula for this:

I = P(1rt)

This is where P is the principal amount of money to be invested at an interest rate R% (put this in a decimal while calculating). The variable t is the amount of time in years.

Try to plug in these numbers and use my explanation as a checking tool. If you're having trouble, then no worries. Feel free to follow along :D

I = 2,500*(0.09)(7/12)

= 2,500 * 0.525

I = 131.25

So, the interest of a loan of $2,500 underneath those conditions is $131.25

Please let me know in the comments if anything is wrong. I'll be happy to update this answer!

Good luck and keep studying. I believe in you :D

B. 2 18 3

Step-by-step explanation:

on edg

Answer:

y = -8/15x + 289/15

Explanation:

Given a circle with a radius of 17, and a centre at the origin (0,0), to find a line tangent to the point (8,15), there are a list of methods we could use to solve this problem. Instead of using derivatives (used to find the slope or gradient of a function at a given point), we can use the inverse tangent (goes from output to input, instead of input to output, but the inputs will still act as a function, which means you can only get one input for each output, this will get you from the side proportion to the angle, instead of angle to side proportion) as we know that a line connecting the origin to the point is always perpendicular to that line which is tangent to it. We can just take the opposite reciprocal (because when two lines are perpendicular, they always have opposite reciprocal slopes) of that, and then trace that slope back to the y-axis to find the it's y-intercept.

An opposite reciprocal just means to take that number, flip it's numerator, and denominator, and then make it negative.

So let's just use basic algebra to find the line going through points (0,0), and (8,15).

Because the line goes through the origin, we already know the y intercept is 0, so all we need to do is find the slope.

So slope [m] = (y2-y1)/(x2-x1).

Where (x1,y1) is the first point, and (x2, y2) is the second point. so m = 15-0/8-0 = 15/8.

Know that we have the slope of the first line, the perpendicular line will go through the same point, and have an opposite reciprocal -n^-1.

So 15/8 → 8/15 → -8/15 [this is the slope of the tangent].

Now since we know a point, and a slope, we can backtrack to find its y-intercept.

We can use point slope form:

y – y1 = m(x – x1)

(x1,y1) is the point we know [(8,15)], m is the slope we know [-8/15], and (x,y) is the point we are looking for. Also don't forget, since we are looking for a y-intercept, set x to zero because a y-intercept of anything is when x = 0.

Since we are only looking for y

y – y1 = m(x – x1) will become y = m(-x1) + y1.

This is because -y1 will cancel out when you add both sides by y1, and when x is 0, x1 will remain by itself in the form -x1.

So y = m(-x1) + y1 → y = (-8/15)(-8) + (15) →

64/15 + 15 = 64/15 + 15×15/15 = (64 + 225) / 15 = 289/15 [this is the y-intercept of the tangent line]

Now that we know the slope, and y- intercept of the tangent line, we can write the following equation in slope intercept:

m = -8/15, b = 289/15 → y = mx + b →

y = -8/15x + 289/15.

Answer:

y = -8/15x + 289/15

Answer:

94594945

Step-by-step explanation:

First we need 1105 of 450450450 we get this by multiply it by 1.10 we'll get 495495495 then we add that to his score  of the first month to get 94594945

Answer: 945

Step-by-step explanation: since he is reading 10% MORE you would find the percentage of 450 PLUS 10%

110/100= 1.1

1.1 * 450= 495

495 + 450= 945

Hopefully this makes sense

Answer:

2. The more hours spent doing homework the better the test scores.

3. Just draw a line that runs through (1,50) (2,55) (3,60) (4,65)

4. Dunno

Step-by-step explanation:

Answer:

Number 4 would be 45%

Step-by-step explanation:

Answer:

hm

Step-by-step explanation:

4

Step-by-step explanation:

There are 400 students, and 100 buses, so number of student in each bus= 400/100

= 4

Answer:

51°

Step-by-step explanation:

Answer:

44.3 would be the correct answer if I looked at it correctly

Answer:

Step-by-step explanation:

Given

The mass of the Sun is greater than the mass of the Earth times:

Answer:

hope it helps..

Step-by-step explanation:

If this helped please comment..

Answer:

X=8

Hope I helped

Answer:

8

Step-by-step explanation:

I hope this helps!

Answer:

C

Step-by-step explanation:

I think thats what they are saying anyway

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: 2

y-intercept: (0,6)

Step-by-step explanation:

X y

−3 0

0 6

Answer:

(- p) × (- p) × (- p)

Step-by-step explanation:

(-p)³

(- p) × (- p) × (- p)

Answer:

33:20

Step-by-step explanation:

Answer:

QPR

Step-by-step explanation:

angle A=Q side AB=QP

B=P BC=PR

C=R CA=RQ