Matthew drives 30 miles in 24 minutes. If he drove two hours in total at the same rate, how far did he go? Before you try that problem, answer the question below. How many minutes did Matthew drive in total?

Answers

Answer 1

Answer:

Step-by-step explanation:

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How can i solve x^3+7x=8x^2

Answers

$x^3+7x=8x^2\ \ \ /-8x^2\n\nx^3-8x^2+7x=0\n\nx(x^2-8x+7)=0\iff x=0\ \vee\ x^2-8x+7=0$

$x^2-8x+7=0\n\na=1;\ b=-8;\ c=7\n\n\Delta=b^2-4ac;\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-8)^2-4\cdot1\cdot7=64-28=36;\ \sqrt\Delta=√(36)=6\n\nx_1=(8-6)/(2\cdot1)=(2)/(2)=1;\ x_2=(8+6)/(2\cdot1)=(14)/(2)=7\n\n\n\nAnswer:x=0\ or\ x=1\ or\ x=7.$

$x^3+7x=8x^2\n \nx^3-8x^2+7x =0\n \nx(x^2-8x+7)=0\n \nx=0 \ \ \vee \ \ x^2-8x+7 =0\n \n \Delta = b^(2)-4ac =(-8)^(2)-4*1*7=64 - 28 = 36$

$x_(1)=(-b-√(\Delta ))/(2a) =(8- √(36))/(2)=(8-6)/(2)= (2)/(2)= 1 \n \nx_(2)=(-b+√(\Delta ))/(2a) =(8+ √(36))/(2)=(8+6)/(2)= (14)/(2)= 7 \n \n Answer : x=0 \ \ \vee \ \ x=1 \ \ \vee \ \ x= 7$

The hypotenuse is the side across from the right angle, and it's also the longest side of the triangle.

Answers

Yes You are correct.

Answer:

true

Step-by-step explanation:

Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost? A. $28,865.00
B. $28,911.50
C. $27,275.00
D. $28,908.50

Answers

Given:
cost:        26,500
option:          725
total    27,225
tax (27,225 * 6%)   1,633.50
total 28,858.50
license & reg. fee 50.00
total cost 28,908.50 Choice D.

Answer:

D. $28908.5

Step-by-step explanation:

We have been given that Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00.

So the cost of car after options costing will be: $\$26,500+\$725=\$27,225$ .

Since there is a 6% sales tax in his state , so the cost of car after sales tax will be $27,225 plus 6% of $27,225.

$\text{Cost of the car after sales tax}=\$27,225+((6)/(100)* \$27,225)$

$\text{Cost of the car after sales tax}=\$27,225+(0.06* \$27,225)$

$\text{Cost of the car after sales tax}=\$27,225+\$1,633.50$

$\text{Cost of the car after sales tax}=\$28,858.50$

We are also told that there is a combined $50.00 license and registration fee, so the total cost of car will be $28,858.50 plus $50.

$\text{Total cost of the car}=\$28,858.50+\$50$

$\text{Total cost of the car}=\$28908.50$

Therefore, the total cost of the car is $28908.50 and option D is the correct choice.

Suppose JK bisects angle LJM. The measure of angle LJK = (-10x + 3) and the measure of KJM = (-x + 21)º. Find the measure of angle LJM.Need help on how to solve

Answers

Well, take a look at this

-10x + 3 = -x + 21

+ 10 x +10x
--------------------------
3 = 9x + 21
-21 -21
---------------------
-18 = 9x
-2 = x

hope this helps

The population of a city is represented by the function p(t)=33,500(1.014)^t where t represents time in years and corresponds to the year 2000. According to this model, what is the expected population of the city 2015