What is the coefficient of the x2 term of the algebraic expression 2x4 + x2 - x + 7

[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]

[tex]\hrulefill[/tex]

To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.

[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]

To find how far the car will travel in a certain time, just multiply the speed by the time.

[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]

[tex]\large\boxed{3\ \text{km}}[/tex]

Answer:

r = t - u - s

Step-by-step explanation:

To solve for r in terms of s, t, and u, means to have r on one side and have t, u, and s.

t = u - s + r

t - u = s + r

t - u - s = r

Answer:

x = -5 , 3

Step-by-step explanation:

(x₁ , y₁) = (-1, -2)    & (x₂, y₂) = (x , 2)

[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]

Take square both sides,

x² + 2x + 5 = (2)²(√5)²               {(√5)² = √5*√5 = 5 }

x² + 2x +5 = 4 * 5

x² + 2x + 5 = 20

x² + 2x + 5 - 20 = 0

x² + 2x  -15 = 0

x² + 5x - 3x  - 5*3 = 0

x(x + 5) -3(x + 5)=0

(x + 5)(x - 3) = 0

x + 5 = 0     ; x - 3 = 0

x = -5        ;    x = 3

x = -5 , 3

Answer: h = 15

Step-by-step explanation: 4/5 x 15 = 60/5 = 12, 12 - 1 = 11.

Answer:

x = 13

Step-by-step explanation:

a^2 + b^2 = c^2

5 = a     12 = b

5^2 + 12^2 = c^2

25 + 144 = c^2

c^2 = 169

square root of 169 = 13

Answer:

in 9 hour 10 minutes the water level decreased = 5/12

in 550 minutes  the water level decreased = 5/12

in 60 minutes  the water level decreased = (5/12)/550*60

                                                                  = 1/22

Step-by-step explanation:

The rate of which water level decreases is 1/22 per hour.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Between time interval 9 P.M. and 6:10 AM,

The water level in the swimming pool decreases by 5/12.

To find the rate of decreasing water,

Total time duration = Final time - initial time = 9 : 10 hours = 540 + 10 = 550 minutes.

Since, in 550 minutes the water level decreases by 5/12.

To find water level decreases in each hour,

Use ratio property,

550 minutes = 5/12 decreases

1 minutes = 5/12 x 1/550 decreases

60 minutes = (5/12) x (60 / 550)

                   = 1 / 22

In each hour the water level decreases by 1/22.

To know more about Ratio on:

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Answer:

Acute, angle C = 13

Step-by-step explanation:

replace x with 9

multiply 12(9) = 108

subtract 108 -17 = 91

divide 91 by 7 = 13

[tex]m[/tex]∠[tex]C=13[/tex] so its acute

Answer:

[tex]5.4x+15[/tex] inches

Step-by-step explanation:

This is an equilateral triangle.

Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)

In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.

Let's multiply this by 3.

[tex]3(1.8x+5)[/tex]

We can apply the distributive property - multiply all terms inside the parentheses by 3.

[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]

Hope this helped!

Answer:

5-(-1)

5+1

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5-(-1)

5+1

= 6

Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

Answer:

x=-4,-3,-2or-1

Step-by-step explanation :0

Answer:

5.6 cm

Step-by-step explanation:

Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. 

The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2

L = 1 cm

The y axis or the vertical length will be

L = sqrt ( [ 4-0]^2 + [0-0]^2)

L = Sqrt(16)

L = 4 cm

Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.

That is,

Thickness = 2 × 4 = 8 mm

The height of the balance point of the blade will be;

Height = 8 mm + 4 cm + 8 mm

Height = 0.8 + 4 + 0.8

Height = 5.6 cm

Note that the thickness will be added to both the top and the bottom of the blade.

Answer:

a. 0.07

b. 0.17

c. 0.333

d. 0.417

Answer:

Step-by-step explanation:

L is the midpoint of KM. So, length of KL = length of LM

KL = LM = 14x

KL + LM = KM

14x + 14x = 26x + 14 {add the like terms}

28x = 26x + 14   {subtract 26x form both sides}

28x - 26x = 14

          2x = 14   {divide both side by 2}

        2x/2 = 14/2

             x = 7

KL = 14x = 14*7

KL = 98

Answer:

They will meet at a distance 9 miles from Karen's house.

Step-by-step explanation:

Let the distance covered by Josh be [tex]S_{1}[/tex] and the distance covered by Karen be [tex]S_{2}[/tex]

The distance between Josh and Karen's houses is 20 miles. That is, the total distance both of them will cover is 20 miles.

Hence, [tex]S_{1} + S_{2} = 20 miles[/tex]

From the question, if Josh takes a 10 minute break after he starts while Karen rides the whole time, this means

If Karen rides for a total of [tex]t[/tex] mins, then Josh would spend [tex]t-10[/tex] mins for the journey

Also, Josh rides at an average speed of 15 miles per hour

and Karen rides at an average speed of 10 miles per hour

Now, for Josh

Distance = [tex]S_{1}[/tex]

Speed = 15 mile/hour (Covert to mile/minute); (NOTE: 1 hour = 60 mins)

Speed= 0.25 mile/min

Time spent = [tex]t - 10[/tex] mins

From

[tex]Speed =\frac{Distance}{Time}[/tex]

Distance = Speed × Time

Distance = 0.25 mile/min × (t-10) min

[tex]S_{1}[/tex] = 0.25(t-10) mile

[tex]S_{1}[/tex] = 0.25t - 2.5

t = ([tex]S_{1}[/tex] + 2.5) / 0.25 ....... (1)

For Karen,

Distance = [tex]S_{2}[/tex]

Speed = 10 mile/hour (Covert to mile/minute);

Speed= [tex]\frac{1}{6}[/tex] mile/min

Time spent = t

[tex]Speed =\frac{Distance}{Time}[/tex]

Distance = Speed × Time

Then, [tex]S_{2}[/tex] = [tex]\frac{1}{6}[/tex] mile/min × t min

[tex]S_{2}[/tex] = [tex]\frac{1}{6}t[/tex] mile

t = 6[tex]S_{2}[/tex] ......... (2)

Equating equations (1) and (2), we get

([tex]S_{1}[/tex] + 2.5) / 0.25 = 6[tex]S_{2}[/tex]

Then,

([tex]S_{1}[/tex] + 2.5) = 1.5[tex]S_{2}[/tex]

Recall that

[tex]S_{1} + S_{2} = 20 miles[/tex]

Then, [tex]S_{1} = 20 - S_{2}[/tex]

∴[tex]20 - S_{2}[/tex] + 2.5 = 1.5[tex]S_{2}[/tex]

2.5[tex]S_{2}[/tex] = 22.5

[tex]S_{2}[/tex] = 22.5 / 2.5

[tex]S_{2}[/tex] = 9 miles

This means Karen covers a total distance of 9 miles

Hence, they will meet at a distance 9 miles from Karen's house.

Answer:

x=26°

B. 26°

Step-by-step explanation:

Triangle Sum theorem

75 + 79 + x =180

154 + x =180

x= 26

Answer:

Add a picture of the system

Step-by-step explanation:

Answer:

it the 2nd or last one but i think its the 2nd one

Answer:

it is last no. cause no negative or decimal are counted as order pair

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Answer:

30°

Step-by-step explanation:

Let the length of shorter side of rectangle be x units.

Therefore, length of diagonal = 2x

In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.

Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].

[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]

Answer:

6 yards

Step-by-step explanation:

she need 1 yard of ribbon for each hairbow and 6 friends to make them for

Answer:

[tex]W=\frac{V}{UV+1}[/tex]

Step-by-step explanation:

[tex]V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}[/tex]

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

7+-3=4

Answer:

4

Step-by-step explanation:

Step 1:

7 + ( -3)

Step 2:

7 - 3

Answer:

4

Hope This Helps :)

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.

Step-by-step explanation:

Wee will represent the first angle by f,the second by s, and the third by t.

If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation  s= 2f-3  .

The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .

Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.

f+ (2f+8) + (2f -3) = 180  Combine like terms on the left side

5f + 5 = 180  

     -5      -5

5f= 175  

f = 35  

So the first angle is 35 degrees.

Second angle.

s=2(35) - 3  

s= 70 -3

s = 67  

The second angle is 67.

Third angle.

t = 2(35) + 8

t= 70 + 8

t= 78

The third angle is 78 degrees.

Now add the angles up to see if they equal 180 degrees.

35 + 67 + 78 = 180  

   180 = 180