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Answer:

[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]

Step-by-step explanation:

hello,

[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]

hope this helps

Hey there! :)

Answer:

f(-2) = 2.

Step-by-step explanation:

To find f(-2), we simply need to look at the y value at x = -2.

At x = -2, the y value is equal to 2.

Therefore:

f(-2) = 2.

Answer: b)2

Step-by-step explanation:

Visually, when x = -2, y = 2

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer: A  y=4x -5 and y=4x+5

Step-by-step explanation:

They have no solutions because they have the same slopes but different y intercepts. That works with any equation.

Answer:

the answer is A

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

Answer:

I think this is the distributive property.

Step-by-step explanation:

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

3. No errors were made. The problem was worked correctly.

Step-by-step explanation:

2(10x + 3) − x = 44

Distribute

20x +6 -x =44

Combine like terms

19x +6 = 44

Subtract 6 from each side

19x =38

Divide by 19

19x/19 =38/19

x =2

Image is attached below.

If the sum of the digits its divisible by 9,

then the original number is divisible by 9.

Since 18 (the sum of the digits) is divisible by 9,

the number 540,171 is also divisible by 9.

Answer:

Yes, The number is divisible by 9

Step-by-step explanation:

If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.

Hope this helps.

Answer:

The answer is option C.

Step-by-step explanation:

h(x) = 2(3x – 5) = 6x - 10

k(x) = –2x + 1

h • k (x) = (6x - 10) ( - 2x + 1)

= - 12x² + 6x + 20x - 10

The final answer is

= - 12x² + 26x - 10

Hope this helps you

Answer:

C)  h · k(x) = –12x2 + 26x – 10

Step-by-step explanation:

Answer:

There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.

Answer:

Step-by-step explanation:

[tex]1500 \: miles \: \: per \: hour[/tex]

[tex] = \frac{15000}{60 \times 60} [/tex]

[tex] = \frac{15000}{3600} [/tex]

[tex] = \frac{25}{6} [/tex]

[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

x + 2x + 1/2x = 224

Step-by-step explanation:

x + 2x + 1/2x = 224

3.5x = 224

x= 64

64×2=128

Hen baked 128 cookies on the second day

Answer:

The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.

Answer:

you need 36cups of flour

Step-by-step explanation:

3 cups of flour = 8 ounces of water

x cups of flour = 96 ounces of water

96*3 =8x

288 =8x

288/8=36

x=36

Answer:

[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

by definition we can write

[tex](x-5)(x+4)(x-1)[/tex]

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]

hope this helps

Answer:

x + 2x = 30 is the correct answer.

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

Let's check :

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

Answer:

24

Step-by-step explanation:

Plug x as 4.

(4)² + 3(4) - 4

16 + 12 - 4

= 24

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation:

Answer:

Kristen had (3/4) of a granola bar in total.

Then the three other people have 2.25 granola bars to share amongst themselves.

Step-by-step explanation:

Complete Question

Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar.

How many granola bars did Kristen eat.

Solution

4 of them bought 3 granola bars.

Then they divide each granola bar into 4 equal portions.

Each of the 3 granola bars gets divided into 4 equal portions, where each granola bar now has (4 × 1/4) portions.

Each portion is (1/4) of a granola bar.

Kristen then takes 1 portion from the 3 granola bars.

This means she had 3 × (1/4) granola bars.

Kristen had (3/4) of a granola bar in total.

Then the other three people had [3 - (3/4)] of a granola bar to share amongst themselves. It means they had (9/4) or 2.25 granola bars to share amongst themselves.

Hope this Helps!!!

Answer:

Oregon:

Median: 467.5

Mean: 451.33

Standard Deviation: 113.6

Washington:

median: 380

Mean: 396.6

Standard deviation: 56.3

Step-by-step explanation:

To calculate the median, we need to organize the price and select the value that is in the middle position.

To calculate the mean, we need to sum all the values and divide them by the number of values

To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.

So, for Oregon, the organized values are:

$295, $345, $460, $475, $538, $595

The median is a value between $460 and $475. it is calculated as:

[tex]\frac{460+475}{2}=467.5[/tex]

The mean is:

[tex]\frac{295+475+345+595+538+460}{6}=451.33[/tex]

The standard deviation is:

[tex]\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6[/tex]

At the same way, we can calculate the median, mean, and standard deviation for Washington and get:

median: 380

Mean: 396.6

Standard deviation: 56.3

Answer:

A, C, E, G

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

4 sqrt(7)

Step-by-step explanation:

We can use the leg rule

hyp            leg

------- = -------------------

leg          part

9+7          z

------- = -------------------

z          7

Using cross products

(9+7) *7 = z^2

16*7 = z^2

112 = z^2

Taking the square root of each side

sqrt( 16*7) = sqrt(z^2)

4 sqrt(7) = z

Answer:

  Eva used a side dimension instead of the height.

Step-by-step explanation:

The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.

Eva multiplied the base by the side height, not the actual height.

Step-by-step explanation:

The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.

Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)

Answer:

1

Step-by-step explanation:

To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.

Answer:

1 or 10/10

Step-by-step explanation:

Step 1 make a common denominator

            to make a common demoniator multiply the top and bottom number by the same number

                         so multiply the 4 and 5 by 2 to get 8/10

Step 2 now that you have 8/10 add it with 2/10

Step 3 solve to get 10/10 and then simplify it to 1

Answer:

Step-by-step explanation:

we khow that the height of the cylinder is 32 inches

divide it by 2 to get the radius 32/2= 16

let V be the volume :

The volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.

If the height of the cylinder is 32 inches.

The height of the cylinder and sphere are same.

Then the radius of the sphere will be

r = 32 / 2

r = 16 inches

Then the volume of the sphere will be

V = 4/3 π(16)³ cubic units

V = 5461.3 π cubic inches

Then the correct option is D.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

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