y = 3 x ^ 2 -4x + 1find the vertex of the function. convert to vertex form

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

x = 5 ± i√11 / 2

Step-by-step explanation:

At the y-intercept the value of y is equal to 0.

=> 0 = x² + 5x + 9

=> x = -5 ± √25 - 4(9) / 2

=> x = 5 ± √-11 / 2

=> x = 5 ± i√11 / 2

Answer:

X    |   y

---------------

-2   |   3

-1   |   0

0   |  -3

1   |  -6

Answer:

x<29

Step-by-step explanation:

divide both sides by -1 since x cannot be negative

Answer:

.

Step-by-step explanation:

-(2x + 3y)

= -2x - 3y

............

Step-by-step explanation:

g=m+13

g+m=113

use substitution

Answer:

50 years old

Step-by-step explanation:

Let's say that Mikhail's age is x.

If so, Gabrielle's age would be 13 years older, therefore x + 13

We know that the sum of their ages is 113, so we can form this equation:

x + x + 13 = 113

Solving this equation, we get:

x + x = 100

2x = 100

x = 50

50 is Mikhail's age, so Gabrielle's age is 63

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

The 2nd one

Step-by-step explanation:

hope this helps!

Answer:

Yes.

Step-by-step explanation:

Because your putting it in the decimal form- .25 is bigger than .40 because it is closer to 1.

HINT: Always know theres a hidden 0 behind it.

Answer:

yes

Step-by-step explanation:

for the sequence to be an AP there must be a common difference between consecutive terms , that is

8.2 - 6.0 = 2.2

10.4 - 8.2 = 2.2

12.6 - 10.4 = 2.2

since there is a common difference then the first 4 terms form an AP

Answer:

1. -5a

Step-by-step explanation:

The definition of combining like terms is adding their coefficients, for example: 2x + 3x = (2+3)x = 5x.

So for this one, -21a+16a = (-21+16)a = -5a.

I have rewritten the expression for g(x) as shown below.

Answer:

\(f(x)*g(x)=18x^3-98x^2+103x-28\)

Step-by-step explanation:

Product of polynomials

Given

\(f(x)=-9x+4\)

\(g(x)=-2x^2+10x-7\)

Note: This function has been rewritten to make it a correct polynomial expression.

Find f(x)*g(x)

We'll apply the distributive property:

\(f(x)*g(x)=(-9x+4)*(-2x^2+10x-7)\)

\(=18x^3-8x^2-90x^2+40x+63x-28\)

Simplifying:

\(\boxed{f(x)*g(x)=18x^3-98x^2+103x-28}\)

The value of z is 58 when z is  directly proportional to \(\sqrt{x}\) and indirectly proportional to \(y^{3}\)

We have :

z is directly proportional to \(\sqrt{x}\)

z is inversely proportional to \(y^{3}\)

Now, we introduce a constant of proportionality, then

\(z = k\frac{\sqrt{x} }{y^{3} }\)

It is given that z = 248 when x is 9 and y is 4.

Then, Applying these values in the equation,

\(z = k\frac{\sqrt{x} }{y^{3} }\)

\(248 = k\frac{\sqrt{9} }{\ 4^{3} } \\\\248 = k \frac{3}{64} \\\\k = \frac{248*64}{3} =\frac{15872}{3} =5290.67\)

Now, we need to calculate the value of z when x = 64 and y =9.

\(z = k\frac{\sqrt{x} }{y^{3} }\)

\(z =\frac{15872}{3} *\frac{\sqrt{64} }{9^{3} } = \frac{15872*8}{3*729} =\frac{126976}{2187} \\z = 58.05\)

Hence, the value of z = 58.05

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The value of the equation f(x) = 2.5x - 10.5 and g(x) = 64(0.5x) are calculated as x = 2: f(x) = 2.5(2) - 10.5 = -5.5 and g(x) = 64(0.5(2)) = 64.

The substitution method is a quick and easy way to identify the variables' solutions to a set of linear equations. It entails, as the name implies, determining the value of the x-variable in terms of the y-variable from the first equation, and then substituting or replacing the value of the x-variable in the second equation. So, we may solve the equation and determine the value of the y-variable. Finally, we can use any of the above equations with the value of y to determine x. It is also possible to solve for x first, then for y, in the opposite order.

The given equation are f(x) = 2.5x - 10.5 and g(x) = 64(0.5x).

Substituting the value of x we have the value in the table as follows:

x = 2:

f(x) = 2.5(2) - 10.5 and g(x) = 64(0.5(2))

f(x) = -5.5                     g(x) = 64

For x = 3:

f(x) = 2.5(3) - 10.5 and g(x) = 64(0.5(3))

f(x) = -3                         g(x) = 96

For x = 4:

f(x) = 2.5(4) - 10.5 and g(x) = 64(0.5(4))

f(x) = -0.5                     g(x) = 128

For x = 5:

f(x) = 2.5(5) - 10.5 and g(x) = 64(0.5(5))

f(x) = 2                          g(x) = 160

For x = 6:

f(x) = 2.5(6) - 10.5 and g(x) = 64(0.5(6))

f(x) = 4.5                       g(x) = 192

Hence, the value of the equation f(x) = 2.5x - 10.5 and g(x) = 64(0.5x) are calculated as x = 2: f(x) = 2.5(2) - 10.5 = -5.5 and g(x) = 64(0.5(2)) = 64.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

Its skewed right

Step-by-step explanation:

I did the quiz and that was the answer

The distribution of this graph is Uniform.

The correct option is A.

Based on the provided dot plot, where there are 4 dots above each value from 5 to 10, the distribution can be described as uniform.

Uniform distribution refers to a distribution where the data points are evenly spread out across the range without any noticeable skewness or clustering. In this case, since there are an equal number of dots above each value within the given range, the distribution is uniform.

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Answer:

27

Step-by-step explanation:

Here's the complete question:

Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.

An increase in k simply means that there's an addition. This will be:

k + 7 = 34

k = 34 - 7

k = 27

Therefore, the value of k is 27

Step-by-step explanation:

Answer:

k = 34 - 7

k = 27

Step-by-step explanation:

increased by 7 = 34 which is means,

this number was 27

The solution is Equation: k = 34 - 7

Solution: k = 27

Answer:

\left(3+i\right)y\left(3-i\right)=10y

Step-by-step explanation:

\left(3+i\right)y\left(3-i\right)

\left(3+i\right)\left(3-i\right)y

=y\cdot \:10

=10y

Answer:

www.imsorryineedpoints.orgStep-by-step explanation:

Answer:

90

Step-by-step explanation:

this is the pattern: +3, *2, +3, *2, +3

so theoretically the next number would be 90.

The next number is 90.

If you observe the pattern the second number is +3 of the first number and the third number is ×2 of the second number following this pattern.

6+3=9

9×2=18

18+3=21

21×2=42

42+3=45

45×2=90

Therefore 90 is the right answer.

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Answer:

A traingle cannot be right angled and obtuse angled at the same time. Since a right angled triangle has one right angle the other two angles are acute.

Answer:

A right triangle is made of a 90-degree angle and two acute angles to make a 180-degree shape. If you have an obtuse angle, an angle that measures more than 90-degrees, you cannot have a right angle in the shape.

Step-by-step explanation:

Example: A triangle with an obtuse angle of exactly 91 degrees cannot have a 90-degree angle inside of it or else it is 181-degrees, which is too many degrees for a triangle.

Answer:25.45

Step-by-step explanation:

52936/1 year x 1 year/52 weeks x 1 week/40hours

The solution of the given system of equations by graphing is (6,2).

First, we will graph the equation by marking the points and then joining them.

Eq -> y = x-4                                     Eq -> y = -(1/6)+3

x               y                                         x                   y

-2             -6                                       -2                 3.33

-1              -5                                       -1                  3.17

0              -4                                         0                  3

1               -3                                         1                  2.83

2               -2                                        2                 2.67

4                0                                        6                    2

6                2

Plotting these points and then joining them we will get the graph of the equation.

On graph, the point(s) where these two lines intersect is the solution.

We see in the graph that they intersect at (6,2) hence, the solution.

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Answer:

because I said so....that's why

Answer:

BECAUSE TEACHERS WANT US TO SUFFER

Step-by-step explanation:

Answer: there you go :)

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Let x = gallons consumed by car 1

Let y = gallons consumed by car 2

We set up our equations:

35x+40y = 1850        eq1

x+y = 50                   eq2

Substituting eq 2 into eq 1,

35x+40(50-x) = 1850

35x+2000-40x = 1850

-5x+2000 = 1850

-5x = -150

  x = 30

Substitute value of x into eq 2.

x+y = 50

30+y = 50

     y = 20

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145