If the value of a in the quadratic function f(x) = ax2 + bx + c is -8, the function will_______.



(I would give Brainliest, but I don't know how to do that ;-;)


Many thanks!

When Gregory adds these two numbers, the greatest sum Gregory can get will be 975.

From the information, Gregory forms two different numbers with the digits 1, 2, 3, 4, 5, and 6. Both numbers have 3 digits, and each digit is used only once. If he adds these two numbers, what is the greatest sum Gregory can get?

The greatest 3-digit number that can be formed with the digits 1, 2, 3, 4, 5, and 6 is 654 and the smallest is 123. If Gregory forms these two numbers, the sum of these numbers is 654 + 321 = 975, which is the greatest sum he can get.

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Answer:975

Step-by-step explanation:

uyygu

Answer:

look below

Step-by-step explanation:

a = the 1 st# b = 2nd # c= 3rd #

a+b+c=41

b=5a

c=14-b

plug in one of those values

a+b+14-b=41

a+14=41

-14

a=27

plug in the "a" value

the excluded values for the rational expression x(x+17) are x = 0 and x = -17.

In a rational expression, the denominator cannot be equal to zero because division by zero is undefined. To find the excluded values, we need to find the zeros of the denominator.

In this case, the denominator is x(x+17). To find the zeros, we set the denominator equal to zero and solve for x:

x(x+17) = 0

The equation will be satisfied when either x = 0 or x + 17 = 0.

For x = 0, the expression becomes 0(0+17) = 0, which means division by zero would occur.

For x = -17, the expression becomes -17(-17+17) = -17(0) = 0, which again leads to division by zero.

Therefore, the excluded values for the rational expression x(x+17) are x = 0 and x = -17.

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The three consecutive terms of the arithmetic progression are:

2, 5, 8

Let the first term be a and common difference be d.

The three terms are,

a − d, a , a + d

As, the sum of three terms is 15, then,

a − d + a + a + d = 15

3a = 15

a = 15/3

a = 5

As, the product of three terms is 80, then,

(5−d) * 5 * (5+d) = 80

5(25 − d²) = 80

25 − d² = 16

d² = 9

d = 3

Thus:

a - d = 2

a + d = 8

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Correct question is:

The sum of three numbers in A.P is 15 and  their product is 80. Find the numbers.

Answer:

1......5^x=5^-3

x= -3........

Answer:

66.6667

Step-by-step explanation:

100% correct mark brainliest

Answer:

The answer is 162

Step-by-step explanation:

For every 60 seconds Manuel's heart will beat 9 times.  This means that every minute his heart will beat 54 times.  Since he is resting for three minutes we can say that 54x3=162

Answer:

Yes, they are their just switched around to counfuse you  :)

Step-by-step explanation:

Answer:

36°, 72°, and 72°

Step-by-step explanation:

The interior angles of a triangle will always add to 180°.

Let's say the smallest angle is x, then the other two angles are both 2x.

x+2x+2x=180

5x=180

x=36

If our angles are x, 2x, and 2x, and we know x is 36, then the answer is:

36°, (2*36)°, and (2*36)°, which equals

36°, 72°, and 72°

Check: 36+72+72=180

To find angle between two lines, we use the formula,

Where

θ is the angle between two lines

m1 is the slope of the first line

m2 is the slope of the second line

First Line Equation:

The slope is 3/m

Second Line Equation:

The slope is -3/5

The angle between the two lines is 45°.

Let's substitute the known information into the formula and figure out the value of 'm':

Answer: No it’s not

Step-by-step explanation:

Plug in -2 for x and 3 for y.

2(3) = 3(-2) + 6

6 = -6 + 6

6 = 0

Six doesn’t equal zero so (-2, 3) isn’t on the line 2y = 3x + 6

The range of the exam scores is 10, and the standard deviation is approximately 3.4.

The range of a set of values is the difference between the largest and smallest values of the set.

The standard deviation measures the degree of dispersion or variation of a set of values from their mean or central value.

Using the four scores 87, 77, 83, and 83, the range and standard deviation can be calculated below:RangeThe largest score is 87, and the smallest is 77.

Therefore, the range of the exam scores is:Range = Largest score - Smallest score= 87 - 77= 10Standard deviationTo find the standard deviation, first find the mean of the scores:Mean = (87 + 77 + 83 + 83) / 4= 330 / 4= 82.5.

Round the mean to the nearest tenth (one decimal place) to calculate the standard deviation:Standard deviation = √ [(sum of (score - mean)^2) / number of scores)]≈ 3.4

Therefore, the range of the exam scores is 10, and the standard deviation is approximately 3.4.

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Answer:

12.50

Step-by-step explanation:

Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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Answer:

3 cm : 1 cm

Step-by-step explanation:

1. 60 : 20

2. divide 10 on both sides = 6 : 2

3. divide by 2 on both sides = 3 : 1

4. 3 cm : 1 cm

I'm so sorry, I just read the ratio is 60 cm to 20 M

So edit:

convert both into a unit, we'll take m.

1 cm = 100 m

so 60 x 100 = 60000 m

= 60000 m : 20 m

= divide by 20 in both sides...

= 3000 m : 1 m

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

first one I think is 6 and then 3

Step-by-step explanation:

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

the value of ST is 2 of its x is 2

Answer:

2122.64 in^2

Step-by-step explanation:

Use the formula for the area of a circle: A=πr^2

The radius will be half the width of the cloth so 52÷2=26

26^2=676

Multiply by π given as 3.14

676×3.14=2122.64 square inches.

The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.

Answer:

B

Step-by-step explanation:

2,122.64 in2

The value of x, to the nearest tenth, is approximately 4.96. The steps involved using the tangent ratio and solving for the unknown side in a right triangle.

In a triangle, the angle opposite to the side x as angle A, and the side opposite to the angle 33° as side B, and the largest side as side C. So we have:

Angle A = 90° - 33° = 57° (since the sum of angles in a triangle is 180°)

Side B = 8

Side C = 15

Side x = ?

Write the formula for the tangent ratio in terms of the sides of the triangle. For angle A, we have:

tangent(A) = opposite/adjacent

Substitute the known values into the formula and solve for the unknown side. Substituting the values we have, we get

tangent(33°) = x/8

Multiplying both sides by 8, we get:

x = 8 * tangent(33°)

Use a calculator to find the value of the tangent of 33 degrees. We get:

tangent(33°) ≈ 0.6494

Substitute the value of the tangent into the formula we obtained in step 3 and solve for x. We get

x ≈ 8 * 0.6494

x ≈ 5.1952

Round the answer to the nearest tenth, since the question asks for the value of x to the nearest tenth. We get

x ≈ 4.96

Therefore, the value of x, to the nearest tenth, is approximately 4.96.

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Answer:

-3x+5

Step-by-step explanation:

The answer is up ahead

Answer:

Step-by-step explanation:

Please see the 2 attachments

After 4 red chairs and 2 blue chairs are taken out from the class, there are 72 - 4 - 2 = 66 chairs remaining. Of these 66 chairs, 72 * 2/3 - 2 = 46 chairs are blue. Therefore, the probability of selecting a red chair at random is (66 - 46) / 66 = 20/66 = 5/16.

The factorization of the given binomial is (10x+9y)(10x-9y).

The given binomial is 100x²-81y².

Here, 100=10² and  81=9²

Now, 100x²-81y²=10²x²-9²y²

= (10x)²-(9y)²

By using the identity a²-b²=(a+b)(a-b), we get

(10x)²-(9y)²=(10x+9y)(10x-9y)

Therefore, the factorization of the given binomial is (10x+9y)(10x-9y).

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One is the sum of the areas under the normal curves to the left and right of z.

For a normal distribution, the total area under the curve is 1. Therefore, if we can find the area to the left of z, we can subtract it from 1 to find the area to the right of z.

The area to the left of z can be found using a standard normal distribution table or a calculator. For example, if z is 1.5, the area to the left of z is 0.9332.

The area under the entire normal curve is 1. Therefore, the area to the left of z plus the area to the right of z must add up to 1.

Visually, we can think of the normal curve as being symmetric about its mean, which is located at \(z = 0\). As a result, the area to z's left and right are equal. Area to the left of z plus Area to the right of z equals

\(1/2 + 1/2 = 1\) as a result.

\(1 - 0.9332 = 0.0668\)

Therefore, the combined area is:

\(0.9332 + 0.0668 = 1\).

This supports the notion that the entire area under the normal curve is 1.

As a result, the area under the normal curve to the left of z plus the area to the right of z together equal one.

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Answer:

$25.5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

im pretty sure at least. since x is on a midpoint, it'd half of 14.

See those similar lines

The line.of length x passes through midpoint of the traingles on opposite sides

At this case according to BPT theorem

Answer:

r = 5 miles

Step-by-step explanation:

\(Radius (r) = ?\\Volume = 392.5\\Height (h) = 15\\ V = \frac{1}{3}*pi*r^{2} *h\\392.5= \frac{1}{3} * 3.14 *r^{2} *15\\392.5 * 3 = 1* 3.14 * r^{2} *15\\1,177.5 = 47.1r^{2} \\Divide - both - sides - of -the - equation by 47.1\\r^{2} = 25\\Square -root-both-side-to-eliminate-the-square\\\sqrt{r}^{2} =\sqrt{25} \\r = 5\\r =5 miles\)