A parabola with the equation y=a(x-b)^2+c has a minimum of (-2,1) and a y-intercept of 5. What are the values of a, b and c? What are the x-intercepts?

Answer:

Step-by-step explanation:

The first step for solving this expression is to remove the first set of parenthesis.

-8.3x+4 - (3.2x-5)

Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following

-8.3x + 4 - 3.2x + 5

Collect the like terms with an x variable.

-11.5x + 4 + 5

Lastly, add the number to get your final answer

-11.5x + 9

Hope that helps you dear...

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Answer:

[tex]\frac{4}{1}[/tex]

Step-by-step explanation:

You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].

If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.

Your new fraction would be [tex]\frac{4}{1}[/tex].

Answer:

True , null

Step-by-step explanation:

Mostly the true hypothesis is the null hypothesis .

We test the true hypothesis , the null hypothesis  against the claim provided which is named as alternate hypothesis.

When the false hypothesis is the null hypothesis , type II error is made.

Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.

So option 1 is correct

Answer:

w^2 -18w + 81

Step-by-step explanation:

Simply, what we have to do here is to divide the coefficient of w by 2, then square it

we have this as -18/2 = -9

Squaring is -9^2 = 81

Answer:

Step-by-step explanation:

Answer:

Parallelogram has greater area.

Step-by-step explanation:

Given:

Base of parallelogram = 9 km

Height of parallelogram = 5 km

Base of triangle = 6 km

Height of triangle = 3 km

Find:

Greater area

Computation:

Area of parallelogram = Base x Height

Area of parallelogram = 9 x 5

Area of parallelogram = 45 km²

Area of triangle = (1/2)(b)(h)

Area of triangle = (1/2)(6)(3)

Area of triangle = (1/2)(18)

Area of triangle = 9 km²

Parallelogram has greater area.

Answer:

5647

Step-by-step explanation:

You go to the store and get some chips to kill your dad

Answer:

18 cm

Step-by-step explanation:

Since the pyramids are similar then the ratio of corresponding sides are equal, that is

12 ÷ 4 = 3

Then the height of the larger pyramid is 3 times the height of the smaller.

height of larger pyramid = 3 × 6 = 18 cm

Answer:

49

Step-by-step explanation:

Plug in 4 for x and 5 for y

[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]

Answer:

The remainder is 7

Step-by-step explanation:

What we have to do here is to set g(x) to zero and solve for x

The value of x is then substituted into the polynomial p(x)

we have this as follows;

x-1 = 0

x = 1

P(1) = 1^3 -6(1)^2 + 9(1) + 3

P(1) = 1 - 6 + 9 + 3

P(1) = 7

This value is the remainder

Answer:

33.7º

Step-by-step explanation:

tan  = opp/adj

tan∅ = 100/150 = 2/3

∅ = arctan 2/3

∅ = 33.690067525979787

33.7º

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

Answer:

Step-by-step explanation:

BaF2 + Na2S = 2 NaF + BaS

Answer:

Substitution

Step-by-step explanation:

For statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

It is defined as the middle point of the segment or line(any geometry may have a midpoint) around two identical sizes formed. The midpoint bisects the segment.

We have:

Point B is the midpoint of segment AC and

Segment AC = 12

Prove: Segment AB = 6

The statement(5):

AB+AB = AC  (here BC is substituted by AC)

So the reason is substitution.

The statement(6):

AB + AB = 12  (here AC is substituted by 12)

So the reason is a substitute.

Thus, for statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

Learn more about the midpoint here:

https://brainly.com/question/5127660

#SPJ2

Answer:

her first step was) Combining like terms= 12+2

her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x

her third step was) Adding to both sides 18= 14+18

her last step was) isolating the variable/ dividing 2 from both sides= 32/x.

Hope You Got It!

PLEASE MARK ME AS THE BRAINLIEST

Answer:

X=-3

Step-by-step explanation:

3x-5x+4=10

-2x=6

x=-3

note:  I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.

Answer:

cancel out

Step-by-step explanation:

Answer:

B. [tex]0.412[/tex]

Step-by-step explanation:

[tex]0.512 + 0.423 = 0.935[/tex]

[tex]0.402+ 0.423 = 0.825[/tex]

[tex]0.418+0.412 =0.83[/tex]

[tex]0.412+ 0.423 = 0.835[/tex]

Answer:

14 cm

The correct answer is B

Answer:

Answer:

You can tell that y=2 when x=4 by looking at the graph

Answer:

y = 2

Step-by-step explanation:

The equation is y = -x+6

Substituting 'x = 4' into this

y = -4+6

Hence, y = 2 when x =4

Feel free to mark this as brainliest :D

Answer:

Step-by-step explanation:

2w+5w-6+4w

=10w+4w-6

=14w-6

=2(7w-3)

Answer:

[tex]11w - 6[/tex]

Step-by-step explanation:

[tex]2w + 5w + 4w = 11w[/tex]

[tex]11w - 6[/tex]

Answer:

D

Step-by-step explanation:

According to the volume formula, you multiply length x width x height

Answer:

D; 1*9*4

Step-by-step explanation:

Since the formula for the volume of a rectangular prisim is L*W*H (length times width times height), it would be 9*4*1. However, since the order doesn't matter (due to the commutative property of multiplication) it would be D.

Answer:

1552.92

Step-by-step explanation:

Answer:

1552.92

Step-by-step explanation:

You can use this formula!!!

Answer:

.065

Step-by-step explanation:

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18

P(1st black) = Black/total = 5/18

You keep the marble

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17

P(2st black) = Black/total = 4/17

Multiply the probabilities together

P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065

Answer:

[tex]\%Pr =71.43 \%[/tex]

Step-by-step explanation:

Given

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

[tex]n(S) = 7[/tex]

Required

Percentage of values between Q1 and Q3

We have:

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

Sort

[tex]Sorted = \{3, 7, 8, 8, 14, 15, 20\}[/tex]

Q1 is calculated as:

[tex]Q_1 = \frac{n+1}{4}th[/tex]

[tex]Q_1 = \frac{7+1}{4}th[/tex]

[tex]Q_1 = \frac{8}{4}th[/tex]

[tex]Q_1 = 2nd[/tex]

The second element is: 7; So:

[tex]Q_1 = 7[/tex]

Q3 is calculated as:

[tex]Q_3 = 3*\frac{n+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{7+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{8}{4}th[/tex]

[tex]Q_3 = 3*2th[/tex]

[tex]Q_3 = 6th[/tex]

The sixth element is: 15; So:

[tex]Q_3 = 15[/tex]

From the sorted dataset, the data between Q1 and Q3 is:

[tex]Q_3&Q_1 = \{7, 8, 8, 14, 15\}[/tex]

[tex]n(Q_3&Q_1) = 5[/tex]

The percentage is:

[tex]\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%[/tex]

[tex]\%Pr =\frac{5}{7} * 100\%[/tex]

[tex]\%Pr =\frac{5* 100}{7} \%[/tex]

[tex]\%Pr =\frac{500}{7} \%[/tex]

[tex]\%Pr =71.43 \%[/tex]

Answer:  [tex]\frac{204}{1279}[/tex]

Step-by-step explanation:

Formula for intersection:

n(A and B) = n(A)+n(B)-n(A or B)

Given: n(Slingshot) = 247

n(Scream Flyer)= 237

n(Slingshot or the Scream Flyer) = 280

n (Slingshot and Scream Flyer)= 247+237-280

=204

Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]

P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]

Required probability = [tex]\frac{204}{1279}[/tex]