Solve the inequality 2(4x + 1) < 3(2x - 3)

Answer:  f(x) = (x + 3)(x – 7)

Step-by-step explanation:  Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)

f(x) = a(x-h)² + k   from vertex, h is 2   y is -25   from intercept,  x is 7  f(x) is 0

to find a,  0 = a(7-2)² +(-25)   0 = a(7-2)² -25  add 25 to both sides

25 = a(5)²  25 = 25a  25/25 = a  1=a  (seems useless but verifies implied "a"coefficient is 1)

f(x) = a(x-h)² + k solve to get the quadratic form

f(x) = (x-2)² -25     (x - 2)² is x² -4x +4

f(x) = x² -4x +4 -25  simplify

f(x) = x² -4x - 21   then factor

f(x) = (x + 3)(x - 7)

Answer:

f(x) = (x + 3)(x - 7)

Answer: He is correct , equal to, equal to

Step-by-step explanation:

I think

Answer: 320 miles

Step-by-step explanation:

First, we need to make an equation. However, we can’t fight to label the variables:

t = total number of miles

h = number of hours

Now let’s set up our equation:

t = 50h + 65h

The good thing is that we know how many hours each speed was held for, so we can substitute it in the equation.

t = 50(2.5) + 65(3)

t = 125 + 195

t = 320

Therefore, the total number of miles traveled is 320.

The total distance in miles that Kylie’s family traveled during this time is 320 miles.

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

Given that Kylie traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours.

First, we need to make an equation thus we have;

t = total number of miles

h = number of hours

Now let’s set up our equation as;

t = 50h + 65h

Now we can substitute it in the equation.

t = 50(2.5) + 65(3)

t = 125 + 195

t = 320

Therefore, the total number of miles traveled is; 320 miles.

Learn more about equations here;

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The average rate of change for a square root function decreases as we look at intervals of fixed lengths over the domain and the endpoints of those intervals increase. This is due to the property of the square root function where it's an increasing function but at a decreasing rate.

The average rate of change of a function measures how the output (y-value) changes in comparison to the input (x-value). For a square root function like f(x) = √x, as we look at intervals of fixed lengths over the domain and as the endpoints of those intervals increase, the average rate of change decreases.

This happens because the slope of the tangent line to the function (which represents the rate of change) gets progressively less steep as x increases. Square root functions are increasing functions but at a decreasing rate. For example, the slope between the points (1,1) and (4,2) on the function f(x) = √x is 1/3, but between (4,2) and (9,3), it's 1/5, indicating a decrease in the rate of change.

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Answer:

-6

Step-by-step explanation:

The y-int is the point where the line crosses the y axis

Going by intervals of 2, it crosses at -6

:)

Answer:

20/81.

Step-by-step explanation:

There are 5 odd numbers in 1 to 9 and 4 even ones.

Prob(Odd number on first spin) = 5/9

Prob(Not flipping heads on second) = 1/2

Prob(Not spinning a 6 on third ) =  8/9

The compound probability is found by multiplying the above ( because each trial is independent of the others):

Answer = 5/9 * 1/2 * 8/9

= 40/162

= 20/81.

Answer:

Order is 6

Step-by-step explanation:

The population of Portland Oregon has recently grown to more than 500,000.

The order of magnitude for the number of people in Portland means the power of 10. It means that we need to write 500,000 in form of 10 to the power. So,

[tex]P=500,000[/tex]

It contains 6 zeroes. It means,

[tex]P=5\times 10^6[/tex]

So, the order of magnitude for the number of people in Portland is 6.

Answer:

3.6 cm

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2)*h

We know the area of 4.5  and the top is 1 and the bottom is 1.5

4.5 = 1/2 (1+1.5) h

4.5 = 1/2 (2.5) h

4.5 =1.25h

Divide each side by 1.25

4.5/1.25 = 1.25h/1.25

3.6 =h

Answer:

[tex]3.6 \: \: cm[/tex]

Step-by-step explanation:

[tex]area \\ 4.5 = \frac{1}{2}(a + b ) \times h \\ 4.5 = \frac{1}{2} (1 + 1.5) \times h \\ 4.5 = \frac{1}{2} \times 2.5 \times h \\ 4.5 = \frac{2.5h}{2} \\ 4.5 = 1.25h \\ \frac{4.5}{1.25} = \frac{1.25h}{1.25} \\ h = 3.6 \: cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The answer is B.

Step-by-step explanation:

9 : 12 = 3 : 4

12 : 16 = 3 : 4

Known :

LMNOP ~ QRSTU

OP = 12

LM = 9

QR = 12

Asked :

TU = ...?

Answer :

[tex] \frac{op}{tu} = \frac{lm}{qr} \\ \frac{12}{tu} = \frac{9}{12} \\ tu = \frac{12 \times 12}{9} \\ tu = \frac{12 \times 12}{3 \times 3} \\ tu = 4 \times 4 \\ tu = 16[/tex]

So, the side of TU is 16 (B)

Hope it helpful and useful :)

5/2 = 2.5

4/16 = 0.25

2.5/0.25 = 10

Your answer would be 10

hope it helps!

Answer:

500 cm2

Step-by-step explanation:

The dimensions of the prism are 7 cm, 9 cm and 20 cm.

So the three areas we want to find are three rectangles, with the sides:

7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm

The area of each rectangle is:

rectangle_1 = 7 * 20 = 140 cm2

rectangle_2 = 9 * 20 = 180 cm2

rectangle_3 = 9 * 20 = 180 cm2

Summing all these three areas, we have:

Total area = 140 + 180 + 180 = 500 cm2

Answer:

500 Square Centimeters

Answer:

980.6

Step-by-step explanation:

V=πr2h

3=π·11.12·7.6

3≈980.5916

Answer:

980.6 in³

Step-by-step explanation:

V=[tex]\frac{1}{3} \pi r^{2} h\\[/tex]

H=7.6          R=11.1

V=[tex]\frac{1}{3} \pi r^{2} h[/tex]

V=[tex]\frac{1}{3} \pi (11.1)^{2} (7.6)[/tex]

V=980.59159815

V=980.6 in³

Answer:

130.3 ft²

Step-by-step explanation:

Surface area is the sum of areas of outer faces

2 rectangles + 2 triangles + curved surface area of the cylinder

2(4×6) + 2(½×6×5) + 2×3.14×(2/2)×4

48 + 30 + 25.12

103.12 ft²

Answer:

x = 39

Step-by-step explanation:

To solve for x, we have to get it by itself in the equation.

In this problem, we have to do the opposite of subtraction and add 36 to the left and right side of the equation.

3 + 36 = x - 36 + 36

36 + 3 is equal to 39 and -36 + 36 cancels out.

This leaves us with 39 = x.

Answer:

6k^3(2 - 5k)

Step-by-step explanation:

12k^3 - 30k^4

Factor out 6k^3

6k^3(2 - 5k)

Answer:

[tex]6k^3(2-5k)[/tex]

Step-by-step explanation:

Find the GCF, 6.

Factor out [tex]6k^3[/tex]:

[tex]12k^3-30k^4\\6k^3(2-5k)[/tex]

Finito.

Answer:

4

Step-by-step explanation:

trust me bro

Answer:

Use a protractor

Step-by-step explanation:

Im still working on it give me a sec.

It's probably A (I can't tell you for certain, because I can't see the image, but the other options seem illogical).

The bar graph presents the number of students who received each letter grade on a written report, enabling a clear comparison of quantities.

The statement about the graph that is true: The bar graph displays the number of students who earned each letter grade on a written report, making it suitable for comparing quantities. For example, the bar that represents the number of students who received an A appears to be shorter than the bar for students who received a C, indicating fewer students got an A.

Answer:

50

Step-by-step explanation:

Its initial size was 50, because that is the y-intercept. From 50, it increases, so it can't be anything above 50.

Answer:

Step-by-step explanation:50

Answer:

True?

Step-by-step explanation:

Answer:

Yes that would be correct!

Step-by-step explanation:

You need 5a and 34 are needed in the equation and so is the x symbol

Answer:

Step-by-step explanation:

Answer:

hey try photomath

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(4a+2b+2)=\frac{1}{2}*2*(2a+b+1)\\\\=2a+b+1[/tex]

Answer

non real

Step-by-step explanation:

Answer:

non real

Step-by-step explanation:

Answer:

143°

Step-by-step explanation:

supplementary = add to 180°

180°-37°=143°

Hope this helps :)

Answer:

How many siblings does the average 6th-grade student have?

Step-by-step explanation:

In order to know the average, you need to collect all the amounts of siblings 6th grade students have and then you need to add them all together and divide by how much numbers there are and you'll get your average.

Answer:

5.94

Step-by-step explanation:

Given the following information:

Ages of 4 zebras from a wildlife

=> the sample mean of this date is

= [tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

=[tex]\bar X = \frac{2+9+14+15}{4}= 10[/tex]

The standard deviation can be determined by using this formula:

[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}[/tex]

<=> [tex]s = \sqrt{\frac{(2-10)^2 +(9-10)^2 +(14-10)^2 +(15-10)^2}{4-1}} =5.94[/tex]

Answer:

i'm pretty sure it's B. X=-24 and x=24

Step-by-step explanation: