Show all work to factor x4 – 17x2 + 16 completely.

Given:

Arnold has $24 to spend at the movies.

Ticket = $12

Popcorn is double the price of the soda.

The soda and candy bar are same price.

To find:

The price for the soda.

Solution:

Let x be the price of soda.

According to the question,

Price of candy = Price of soda = x

Price of popcorn = 2(price of soda) = 2x

Total amount = Ticket + Popcorn + Soda + Candy

[tex]24=12+2x+x+x[/tex]

[tex]24=12+4x[/tex]

[tex]24-12=4x[/tex]

[tex]12=4x[/tex]

Divide both sides by 4.

[tex]\dfrac{12}{4}=x[/tex]

[tex]3=x[/tex]

Therefore, the price of soda is $3.

Answer:

10%

Step-by-step explanation:

Price of computer = $750

Amount of sales tax = $75

Sales tax rate = Amount of sales tax / Price of computer × 100

= $75 / $750 × 100

= 0.1 × 100

= 10%

Sales tax rate = 10%

Sales tax rate = 10% of selling price

Answer:

9.6

Step-by-step explanation:

First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.

Answer:

x = - 3

Step-by-step explanation:

2x - 10 + 6 = 7x - 7 - 2x + 12

2x - 4 = 5x + 5

- 5 - 4 = 5x - 2x

-9 = 3x

x = - 9/3

x = - 3

Answer:

6

Step-by-step explanation:

You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.

DF = EB

     = AB

     = 6

Answer:

Choice A. $2,392 is the correct answer

Answer:

15x + 28y = 116

x + y = 6

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Answer:

A EDGE 2020

Step-by-step explanation:

I got it wrong twice and it gave me the answer :)

The point represents z₁ - z₂ will be A. Then the correct option is A.

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

The complex numbers z₁ and z₂ are graphed.

The expression of z₁ and z₂ are given below.

z₁ = 4 – i

z₂ = –3 – 2i

Then the difference between z₁ and z₂ will be

z₁ - z₂ = (4 – i) – (–3 – 2i)

z₁ - z₂ = 4 – i + 3 + 2i)

z₁ - z₂ = 7 + i

Then the correct option is A.

More about the complex number link is given below.

https://brainly.com/question/10251853

#SPJ2

Answer:

haha troll go brrr

Step-by-step explanation:

2,4,5 (actual answer)

2-angle MNP (38) is less than angle ONP (39)

4- they are equal by the reflexive property of congruence op

5-is MNP has a lower angle, side MP should have a longer side

Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

Answer:

Heredity refers to the genetic heritage passed down by our biological parents. It’s why we look like them! More specifically, it is the transmission of traits from one generation to the next. These traits can be physical, such as eye color, blood type or a disease, or behavioral. For example, the hygienic behavior of honeybees that drives them to remove sick larvae from the nest is inherited behavior.  

Answer:

The answer is 8

Step-by-step explanation:

Pay attention bro

Answer:

A

Step-by-step explanation:

2 times 2 = 4

7 times 7 = 49

2/7 = 4/49

Hope this helps!!!

Answer:

Slope: -45

Y-intercept: -2

Step-by-step explanation:

The expression is written in slope-intercept form or y=mx+b.

mx is the slope and b is the slope intercept

Answer:

true

Step-by-step explanation:

Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: [tex]\frac{4}{9}[/tex]

Switch: the division sign to multiplication.

Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].

Now, your problem looks like this:

[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.

Answer:

Axis of Symmetry: x=-1

Vertex: (-1,-9)

Domain:   (- ∞ ,∞ )

Range: (-9,∞ )

Step-by-step explanation:

Answer:

c) t-test of population mean

Explanation:

The t-test statistic is used in hypothesis testing. Here we would use a one sample t test to test our hypothesis. The one sample t test measures the statistical difference between the hypothesized mean and the sample mean. In a one sample t test or single sample t test, a test variable is measured against a test value.

Example we compare our test variable to the hypothesized mean value $75 above.

The t test is used instead of z score when standard deviation is unknown.

Using the t test, we either accept or reject the null hypothesis given alternative hypothesis.

Answer:

C) choosing a blue, green or yellow marble.

Step-by-step explanation:

The Complement of choosing a red marble means choosing any other marble that isn't red.

From the question , it was said that there were a blue , green, yellow and red marble.

So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.

Answer:

c

Step-by-step explanation:

Answer/Step-by-step explanation:

✔️The point (8, 6) represents seasonal plant growth of 6 mm with 8 cm of rainfall during the growing season.

✔️To determine how much rain fell if the plants grew 12 mm one season, find the value of x (rainfall) when y (plant growth) = 12.

From the graph, when y = 12, x = 16.

This means that when the plant grew 12 mm, 16 cm of rainfall was recorded.

Therefore:

If the plants grew 12 mm one season, 16 cm rainfall fell.

Answer:

11.265 minutes.

Step-by-step explanation:

A minute is about a a kilometer so 7 miles is about 11.265 minutes.

Answer:

slope: 0

y-intercept:(0,49)

Step-by-step explanation:

Hope this helps!

Answer:

SLOPE: 0

Y -INTERCEPT: 49

Step-by-step explanation:

y = -32 - 17 (collect like terms)

y = 49

The slope would be zero because it doesn't have an x-intercept.

The line would look like this..

49 -------------------------------------------- completely flat like the floor so zero slope.

HOPE THIS HELPS!1

Answer:

[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]

Step-by-step explanation:

We have completed the diagram with some lengths that come directly from the figure's symmetry.

Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.

This means the base of the triangle has the same length as the height of 9.

This means the total base of the trapezium is x = 9 + 7 = 16

The right triangle must satisfy Pythagora's Theorem:

[tex]y^2=9^2+9^2[/tex]

[tex]y^2=2*9^2[/tex]

[tex]y=\sqrt{2*9^2}[/tex]

Simplifying the radical:

[tex]y=9\sqrt{2}[/tex]

The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]

Answer:

since the pairs of opposite lines in the diagram are parallel the measurement of B is also 63

to fine A and C simply subtract 180 - 63 which gives us 117 so

A = 117

B = 63

C = 117

D = 63

Answer:

357 passengers

Step-by-step explanation:

[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)

When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]

Finally, multiply 17 by 21 to get x.

Therefore, x=357

Answer:

2x+4y=150

Step-by-step explanation:

Top answer is right as it is shown in the picture below!

Answer:

a

The sale was for a 43% decrease.

Step-by-step explanation:

The computation of the percent off of the coat during the sale is shown below:

Regular price is $35.25

And, in the sale the price is $19.99

So, the percent off would be

= ($35.25 - $19.99) ÷ ($19.99)

= 43% decrease

hence, the percent off of the coat during the sale is 43% decrease

Therefore the correct option is a.

And, all the other options are incorrect