Factor the expression (-x^2 + 5x + 24.), and use the factors to find the x-intercepts of the quadratic relationship it represents.

Type the correct answer in each box, starting with the intercept with the lower value.

The x-intercepts occur where x =
and x =
.

Answer:

(-2, 21) and (2, -11)  let me know if anything didn't make sense

Step-by-step explanation:

Try and put the symbols in, so for x to the third power write x^3  just makes it all much easier.

The turning point is when a graph changes from increasing to decreasing, or the other way around.  What this means is that its slope is changing from positive to negative, or the other way around.  

The derivative allows you to find the slope at any point of a graph.  If you are unfamiliar witht his concept let me know and I can go more into it.  

Since the derrivative tells you the slope, if you find a spot where it equals 0 then you know before that point it was positive or negative, and then after that point it was the opposite.  In other words it changes, so it's exactly what we are looking for.  Also if a derrivative is ever non existant, like in the square root function the numbers under the square root cannot be negative, so any x value that makes them negative doesn't exist, this means you would want to check these point too because they can be turning points as well.

There are certain special cases where a derivative does not coss 0, and if that happens then the original function does not have a turning point.  So keep that in mind.

The derivative is 3x^2 - 12.  So we want to find when this equals 0.   We also know it always exists so only need to worry about the 0s. Hopefully you are familiar with quadratics having two zeroes, if not let me know.

3x^2 - 12 = 0

3x^2 = 12

x^2 = 4

x = 2 and-2

So these are the turning points.  You should double check though and choose an x value below -2, then between -2 and 2, then larger than 2 and make sure the signs swap.

These are the x values of the turning points.  Solve f(x) at these points to find the y values.  so f(-2) = (-2)^3 - 12(-2) + 5 = 21 and f(2) = -11  so now we know the turning points are (-2, 21) and (2, -11)

The coordinates of the turning points of f(x) are (-2, 21) and (2, -11).

An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations. The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.

The turning point is when a graph changes from increasing to decreasing, or the other way around that means, its slope is changing from positive to negative.

Given that the derivative of f(x) = x³ – 12x + 5 is 3x² - 12.

Since the derrivative tells the slope, if you find a spot where it equals 0 then before that point it was positive or negative, and then after that point it was the opposite.

The derivative is 3x² - 12.

3x² - 12 = 0

3x²  = 12

x²  = 4

Thus, x = 2 and-2

So, these are the turning points.  

Now Solve f(x) at these points to find the y values.  

so f(x) = x³ – 12x + 5

f(-2) = (-2)³ - 12(-2) + 5 = 21

f(2) = -11  

Hence, the coordinates of the turning points of f(x) are (-2, 21) and (2, -11).

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Answer:

21. C, 24.B

Step-by-step explanation:

Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.

Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:

[tex]55^2=40^2+24^2-2(40)(24)\cos(C)[/tex]

We can subtract 40 squared plus 24 squared from both sides to get

[tex]849=-2(40)(24)\cos(C)[/tex]

Negative two times 40 times 24 equals -1920. Dividing -1920 from both sides gets us

[tex]\frac{849}{-1920}=\cos(C)[/tex]

Plugging this equation into a calculator and solving for C, we get the answer as approximately

C = 116.24353.

This rounds to 116.2

Answer:

72000

Step-by-step explanation:

First five digit number is 10000

And the last five digit number is 99999.

There are 99999-10000+1 five digits in all.

That simplifies to 89999+1=90000.

Any number whose units digit is 5 or 0 is divisble by 5.

10000 is the first five digit number that is divisble by 5.

10000+5k where k is a positive integer can be used to find any after.

The last five digit number divisible by 5 is 99995. What is k then?

10000+5k=99995

5k=89995

k=89995/5

k=17999

How many 5 digit numbers are divisble by 5?

So the first one happens at k=0 and the last one happens at k=17999.

How many numbers is that? 17999+1=18000.

So the number of 5 digit numbers that aren't divisble by 5 is 90000-18000=72000

Answer:

45.94%

Step-by-step explanation:

Probability-Above 45.94%

Z =0.1  

x= 61

µ 60

σ 9.8

Answer:

2x^2 - 18x + 45

Step-by-step explanation:

Standard form is ax^2 + bx + c

Expand the (x-5)^2 = (x-5)(x-5) --

x^2 - 5x - 5x + 25

x^2 - 10x + 25

So we now have

2(x^2 - 10x + 25) + 2(x-5) + 5

From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.

2x^2 - 20x + 50 + 2x - 10 + 5

Combine like terms

2x^2 - 20x + 2x + 50 - 10 + 5

2x^2 - 18x + 40 + 5

2x^2 - 18x + 45

Answer:

This is trapezium.

Area of this figure =1/2h(d1-d2)

1/2×5(14-8)

=30/2

=15cm^2

Answer:

c. 3

Step-by-step explanation:

BC||AD so <CBD=<BDA

15x+2=9x+20

15x-9x=20-2

6x=18

x=3

Answer:

please i need educere answers

Step-by-step explanation:

i have one day left and i cannot finish please reply with any way to contact you

Answer:

C=（9F-32）/5

inverse​：

Step-by-step explanation:

Answer:

First and Second option choices

Step-by-step Explanation:

1st case:

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)×

y = 500(1+2.5/100)×

y = 500(1+0.025)×

y = 500(1.025)×

2nd case:

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)×

y = 400(1+0.02)×

y = 400(1.02)×

The correct option is (A) and (B)

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)^×

y = 500(1+2.5/100^)×

y = 500(1+0.025)^×

y = 500(1.025)^×

again,

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)^×

y = 400(1+0.02)^×

y = 400(1.02)^×

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you can go for option g cause ans is 14:5

Answer:

$203

Step-by-step explanation:

15x8=$120

120+83=$203

Step-by-step explanation:

it think it will help you

Answer:

the value of x = 8

Step-by-step explanation:

3+x/4 = 5

x/4 = 5 - 3

= 2

X = 2 ×4

=8

Answer:

42 more times

Step-by-step explanation:

1) 4×105=420 (pounds)-blue whale

2) 1×10=10 (pounds)- elephant

3) 420:10=42

The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.

Average weight of blue whale; W_w = 4 × 10^(5) pounds

Average weight of elephant; w_e = 1 × 10⁴ pounds

W_w/W_e = (4 × 10^(5))/(1 × 10⁴)

According to laws of exponents;

a¹²/a³ = a¹² ¯ ³ = a^(9)

Applying that to our question gives;

4(10^(5 - 4)) = 4 × 10 = 40

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The base angles of an isosceles trapezoid are equal; For EFGI to be a parallelogram, the measure of [tex]\angle HGI[/tex] is: 108 degrees

Given that:

[tex]\angle IEF = 36^o[/tex]

IEF and GHI are the base angles of the trapezoid.

So:

[tex]\angle GHI = \angle IEF = 36^o[/tex]

Also:

[tex]\triangle GHI[/tex] is an isosceles triangle.

This means that:

[tex]\angle GHI = \angle HIG = 36^o[/tex] --- base angles of an isosceles triangle

So:

[tex]\angle GHI + \angle HIG + \angle HGI = 180[/tex] --- sum of angles in a triangle

Substitute known values

[tex]36 + 36+ \angle HGI = 180[/tex]

[tex]72 + \angle HGI = 180[/tex]

Collect like terms

[tex]\angle HGI = 180-72[/tex]

[tex]\angle HGI = 108[/tex]

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Answer:

unless this is a stats question and you are suggesting that you have bad sampling techniques being used

117/484 is about 24% that is 100% under the "about 50%" stated in the article

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin ? = 32/33

Taking the inverse sin of each side

sin ^-1( sin ?) = sin^-1 (32/33)

? =75.85888

To the nearest degree

? = 76

Answer:

g(-3) = 1

Step-by-step explanation:

We use the top piece of the function since x = -3

g(-3) = x+4 and x = -3

g(-3) = -3 +4 = 1

Answer:

A 14.2 ounce bottle costs $3.98 is the better buy

Step-by-step explanation:

Find the price per ounce for each

A 14.2 ounce bottle costs $3.98

3.98 /14.2 =.28028169 = .28 per ounce

A 33.9 ounce bottle costs $9.98

9.98/33.9 =.29439528 = .29 per ounce

Answer:

His salory before Increse is 17250

Answer:

proportion

Step-by-step explanation:

In a proportion, the means or the extremes (or both) may be interchanged. In proportion, the product of the means equals the product of the extremes.

hope it helps :)

mark brainliest!

Answer:

8,1,-6

Step-by-step explanation:

8 + (-7)

= 8-7 = 1

1 + (-7) = 1 - 7 = -6

The first three terms are 8, 1,-6

Answered by Gauthmath

Answer:

97

Step-by-step explanation:

Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.

5x + 17 = 8x - 31

Now simply just solve for "x"

5x + 17 = 8x - 31

5x + 48 = 8x

48 = 3x

48/3 = 3x/3

16 = x

Once you get x, plug it into the equation "RS = 5x + 17"

5(16) + 17

80 + 17

97, which is our final answer.

Answer:

you need to make a line by using the tools

Answer:

1/2

Step-by-step explanation:

2^ -1

We know that a^-b = 1/a^b

1 / 2^1

1/2

Answer:

1 and 3 are congruent

Answer:

Angle 1 and angle 3 are congruent

The function written in the rational form is, C. F(x) = (x - 5)/3x

Rational numbers are subsets of real numbers which can be written in the form of p/q, where q ≠ 0. As at q = 0 it is undefined.

Similarly, A rational expression is also written in the form of p/q, where p and q are algebraic expressions and q ≠ 0.

From the given options, F(x) is written in the form p/q,

Where, p = x - 5 and q = 3x.

Therefore, The rational function is, F(x) = (x - 5)/3x, where x ≠ 0.

As at x = 0 the function is undefined.

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Answer:

a, d and e.

Step-by-step explanation:

A perfect square is one where the coefficient is a perfect square and the exponent is even.

So they are 25x^12, 36x^16 and 9x^8.