A) 16/12
B) 12/20
C) 12/16
D) 16/20

Using the discriminant of a quadratic equation, if the graph is translated shifted up 4 units, the graph will have no x-intercepts.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

In this problem, the function is given by:

f(x) = (x + 5)² - 3.

In standard form:

f(x) = x² + 10x + 22.

We want to find coefficient k for which the function has [tex]\Delta < 0[/tex], then:

f(x) = x² + 10x + 22 + k.

The coefficients are a = 1, b = 10, c = 22 + k, hence:

[tex]\Delta < 0[/tex]

10² - 4(22 + k) < 0

100 - 88 - 4k < 0

4k > 12

k > 3.

Hence, with k = 4, the function is shifted up 4 units, and the graph will have no x-intercepts.

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Answer:

36+ Miles

Step-by-step explanation:

One in being 18 miles, and two cities that are inches apart. So 2 or more inches. Would make it anywhere from 36 or more miles.

The types of rotation are:

In this case:

 ⇒ it is reflection since the graph is inverted and each point is the same distance from the line of reflection

Answer: reflection

Hope that helps!

Answer:

50

Step-by-step explanation:

Using the Empirical Rule, it is found that the mean is of 64 inches and the standard deviation is of 3.2 inches.

It states that, for a normally distributed random variable:

The normal distribution is symmetric, hence the mean is given by:

M = (57.6 + 70.4)/2 = 64.

57.6 is two standard deviations below the mean, hence the standard deviation is found as follows:

57.6 = 64 - 2s.

2s = 6.4

s = 3.2.

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Answer:

  133 miles

Step-by-step explanation:

The limited budget gives rise to an inequality that can be solved for the maximum number of miles.

__

The rental cost for m miles will be the sum of the fixed charges and the product of the mileage charge and the number of miles.

  cost = 19.95 +0.15m

We want this to be no greater than 40, so we have the inequality ...

  40 ≥ 19.95 +0.15m

This two-step inequality can be solved in the usual way:

  20.05 ≥ 0.15m . . . . . step 1, subtract 19.95 from both sides

  133.667 ≥ m . . . . . . . step 2, divide by the coefficient of the variable

The maximum whole number of miles Gabrielle can drive is 133.

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

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Answer:

6.25cm²

Step-by-step explanation:

Hello!

The formula for the area of a triangle is [tex]A = \frac12 b*h[/tex]

The area of the triangle is 6.25 cm²

Based on the number of children and tricycle wheels, the ratio of children to tricycle wheels is 10 : 18

Total wheels of tricycle = Number of tricycles × Number of wheels per tricycle

= 6 × 3

= 18 wheels

Ratio of children to tricycle wheels = 10 : 18

= 5 : 9

Therefore, the ratio of children to tricycle wheels is 10 : 18

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Answer:

2/3

Step-by-step explanation:

To add fractions add the numbers on top to each other and leave the bottom numbers alone if they are the same number.

[tex]\frac{1}{3}+\frac{1}{3}=\frac{1+1}{3}=\frac{2}{3}[/tex]

B. x^9

just simplify

Here we must write and solve a linear equation to find the number of miles that Arun traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Arun traveled 11 miles in the taxi.

The Eva traveled 25 miles in the taxi.

It is required to find how many miles was the taxi ride.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The taxi company charged a pick-up fee of $4 plus $4.25 per mile.

The total fare was $110.25.

The cost equation is:

C(m) = $4 + $4.25*m

Now, we know that for Eva the total fare (total cost) was $110.25, then we need to solve:

$110.25 = C(m) = $4 + $4.25*m

$110.25-$4=$4.25*m

$106.25=$4.25*m

m =25

Therefore, the Eva traveled 25 miles in the taxi.

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Answer:

-4x

Step-by-step explanation:

((-3x-4+y) + (4x-y)) - (5x-4)
= (-3x-4+y+4x-y) - 5x+4
= (x-4) -5x+4
=x-4-5x+4
=-4x

Answer:

b o a h d

Step-by-step explanation:

1*5 3%9 46% &45 that is the answer

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

Substitute the values of the center and radius to the standard form.

Given:

(0, 0) - center

2 - radius

Answer:

Wxndy~~

The mistake is made in the second step. The correct steps are given below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Wilma estimates that she’ll drive about 18,000 miles during the year.

The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.

Locate the error in her calculations, and select the correction.

Step - 1

18000 miles/year

18000 miles / 12 months = 1500 miles/month

Step 2

1500 miles/month

1500 miles/month / 24 miles per gallon = 62.5 gallons/month

62.5 gallons/month

Step 3

(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month

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The probability of a chance event is a number between 0 and 1 that expresses the likelihood that an event would occur.

As a general rule in probability, we have:

The above represents the range of a valid probability (both inclusive).

This also represents the likelihood that an event would occur

Hence, the words that complete the blank are likelihood and would.

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The whole trip was 0.185 Km or 185 m long.

Speed is the time rate at which an object is moving along a path.

Given:

For 7/3 hours speed is = 60 mph = 0.06 kmph

For 40 minutes or 2/3 hours = 0 mph

for 1 hours = 45 mph  or 0.045 kmph

The total distance she travels

= 7/3*0.06+ 2/3*0+ 1*0.045

=0.185 Km or 185 m

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The figure has a rotational symmetry and the number of lines of symmetry is 3

The given figure is an equilateral triangle.

An equilateral triangle has 3 equal sides and 3 equal angles.

This means that it has a rotational symmetry and the number of lines of symmetry is 3.

The angle of rotational symmetry is calculated as:

Angle = 180/3

Evaluate

Angle = 60

Hence, the angle of rotational symmetry is 60

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The true statement about the equations include:

The equation given is h(t) = t² - 14t + 40. We'll factorize to get the value of t. This will be:

= t² - 14t + 40

= t² - 10t - 4t + 40

= t(t - 10) - 4(t - 10)

(t - 10) = 0.

t = 0 + 10

t = 10

In this case, the swimmer dives to a depth of 14 feet and then comes back up 10 seconds after the timer was started.

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Answer:

The swimmer comes back up 10 seconds after the timer was started.

The swimmer dives into the water 4 seconds after the timer was started.

Step-by-step explanation:

The guy above me ruined my test score, thanks.
Best of luck to all who find this
These are the correct answers

Using the least common multiple, it is found that you need to buy 3 packs of hot dogs and 2 packs of buns to have the exact same number of each.

First, we need to find the total number of each element, finding the least common multiple of the sizes of each package, that is, 8 and 12.

The lcm is found factoring them by prime factors, hence:

8 - 12|2

4 - 6|2

2 - 3|2

1 - 3|3

1 - 1

Hence, lcm(8,12) = 2³ x 3 = 24.

Then:

Which means that you need to buy 3 packs of hot dogs and 2 packs of buns to have the exact same number of each.

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26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460

The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

=(1125-2050)/1125 *100

=45.122%

Hence, percentage change be 45.122% decrease.

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The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

The best way to decide the appropriate interval would be to find the range of the numbers.

We have given a data set,

The minimum is the smallest value in the data set. The maximum is the largest value in the data set.

This would be 69-42=27.

If you need six intervals you would need to round 27 up to 30 to be able to divide it out evenly and include all of the data.

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

This way you are one over and one under the highest and lowest values.

Therefore, The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

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The dot product of the two matrices D and n is determine as (4, - 7).

The dot product of the two matrices is calculated as follows;

n = (-2, -1), and D = [-4   2]

                               [4    3]

D.n =  (-2, -1). [-4   2]  = (-2 x -4) + (-1 x 4) = 4

                     [4    3]  = (-2 x 2) + (-1 x 3) = -7

D.n = (4, - 7)

Thus, the dot product of the two matrices D and n is determine as (4, - 7).

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The volume of the triangular base prism is 120 centimetre cube.

volume of a triangular prism = BH

where

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 4 × 6 = 24 / 2 = 12 cm

Hence,

volume of a triangular prism = 12 × 10

volume of a triangular prism = 120cm²

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Answer: x = 103

Step-by-step explanation:

this is a 90 degree angle indicated by the box in the corner of the angle.

90 degree angles total 90 degrees.

X - 15 + 2 = 90

move the numbers to the other side of the equal sign to isolate the X

by doing the opposite

x = 90 + 15 -2

x = 103

check your work, X - 15 + 2 = 90

103 - 15 + 2 = 90

answer is correct

Answer:

.............30000.............