MATHEMATICS HIGH SCHOOL

How many solutions are there to the system of equations?4x-5y=5

-0.08x+0.10y=0.10

Answers

Answer 1
Answer: First equation simplifies to
y=(4/5)x-1
The second equation simplifies to
y=(4/5)x +1
So the answer is
No Solution

Related Questions

At a skills competition, a target is being lifted into the air by a cable at a constant speed. An archer standing on the ground launches an arrow toward the target. The system of equations below models the height, in feet, of the target and the arrow t seconds after it was fired. Which statement most likely describes the situation modeled by this system?h=8+2t h=4+32t-16t^2 1The arrow is fired with an initial upward velocity of 2 ft/s. 2The arrow is fired with an initial upward velocity of 4 ft/s. 3The arrow is fired with an initial upward velocity of 8 ft/s. 4 The arrow is fired with an initial upward velocity of 32 ft/s.
I am greater than 4 tens and less than 5 tens I have 9 ones what number am I?
Ann's rent increased from $1,200 to $1,350 By what percent did her rent increase
The data set represents a progression of hourly temperature measurements. Use a graphing calculator to determine the quadratic regression equation for this data set.I've tried all of these answers but none of them seemed correct
Select two numbers which have an absolute value that is greater then the absolute value of 4-1/4

Write the equation of the function g(x) if g(x) = f(x+2) +4 and f(x) = x^3 -7

Answers

f(x) = x³ - 7
f(x + 2) = (x + 2)³ - 7
f(x + 2) = (x + 2)(x + 2)(x + 2) - 7
f(x + 2) = (x(x + 2) + 2(x + 2))(x + 2) - 7
f(x + 2) = (x(x) + x(2) + 2(x) + 2(2))(x + 2) - 7
f(x + 2) = (x² + 2x + 2x + 4)(x + 2) - 7
f(x + 2) = (x² + 4x + 4)(x + 2) - 7
f(x + 2) = (x²(x + 2) + 4x(x + 2) + 4(x + 2)) - 7
f(x + 2) = (x²(x) + x²(2) + 4x(x) + 4x(2) + 4(x) + 4(2)) - 7
f(x + 2) = (x³ + 2x² + 4x² + 8x + 4x + 8) - 7
f(x + 2) = (x³ + 6x² + 12x + 8) - 7
f(x + 2) = x³ + 6x² + 12x + 8 - 7
f(x + 2) = x³ + 6x² + 12x + 1

g(x) = f(x + 2) + 4
g(x) = (x³ + 6x² + 12x + 1) + 4
g(x) = x³ + 6x² + 12x + 1 + 4
g(x) = x³ + 6x² + 12x + 5

Write an equation of the line below.

Answers

Answer:

y=1x+2

Step-by-step explanation:

the gradient is equal to 1 and the c in the question is 2 because the y-intercept represents c.

Gradient= (y2-y1)/(x2-x1)

which of the following best describes the relationship between (x+1) and the polynomial -3x^3-2x^2+1 a) (x+1) is a factor b) (x+1) is not a factor c) it is impossible to tell whether (x+1) is a factor

Answers

Answer:

I will solve this problem by factor theorem.

If , (x+1) is a factor of the polynomial , f(x)=-3 x^3-2 x^2 +1 then ,if we substitute,x= -1 in f(x), then, f(-1)=0.

Now,

f(-1)= -3* (-1)^3-2 * (-1)^2+1\n\n f(-1)=-3 * (-1)-2 * 1+1\n\n f(-1)=3 -2+1\n\n f(-1)=2

As, f(-1)≠ 0

Option B: (x+1) is not a factor of the polynomial , f(x)=-3 x^3-2 x^2 +1.
Hello,

3x^3+2x²-1=(x-1)(3x²-x+1)+2
remainder is 2
(x+1) is not a factor of 3x^3+2x²-1 nor of -(3x^3+2x²-1)= -3x²-2x²+1.

Answer B

A car has 444 wheels while an autorickshaw has just 333. Complete the blank. An autorickshaw has \%%percent fewer wheels than a car. Show Calculator

Answers

Answer: The auto rickshaw has 25 percent fewer wheels than a car.

Step-by-step explanation:

We will use the percent change formula to compute this

% change = (X-Y)/(X) x 100

Here X= no. of car wheels (444)

         Y= no. of auto rickshaw wheels (333)

By this formula we will find how much Y is less than X in percentage

                = (444-333)/(444) x 100

                = 25 %

There are 10 vehicles in a parking lot: 3 SUVs and 7 trucks. What is the probability that any 7 randomly chosen parking spots have 2 SUVs and 5 trucks OR 3 SUVs and 4 trucks?

Answers

We have to calculate the probability that any randomly choosen parking spots have 2 SUVs and 5 trucks or 3 SUVs and 4 trucks. We will use the formula with combinations: P = ( 3C2 * 7C5 ) / ( 10C7) + ( 3C3 * 4C7) / ( 10C7). For example: 10C7 = 10! / 7!*(10-7)! = 10!/7!*3!= 10*9*8/3*2*1 = 120, etc. P = ( 3 * 21 ) / 120 + ( 1 * 35 ) / 120 = 63 / 120 + 35 / 120 = 98 / 120 = 0.8166. Answer: The probability is 0.8166 or 81.66%.

Ruth, Daisy, and Martin share £750 in the ratio of 3:5:7. Determine how much money Ruth receives.

Answers

Answer:

Ruth receives £150

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 + 7 = 15 parts

divide the total £750 by 15 to find the value of one part of the ratio

£750 ÷ 15 = £50 ← value of 1 part of the ratio

Then

3 parts = 3 × £50 = £150 ← amount Ruth receives
Other Questions
Jalen gets 3 paid vacation days for every 60 days he works. Select all of the expressions that represent the number of vacation days gets per x days worked. (A) x/20 (B) 3/60x (C) x/3 (D) 0.05x (E) 20x
Which steps should be followed to write an equivalent ratio to find 2% of 6700? Write 2% as the ratio StartFraction 200 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (20)(67) = 1340. Write 2% as the ratio StartFraction 20 Over 100 EndFraction. Write the equivalent ratio StartFraction 6700 Over question mark EndFraction. (20)(335) = 6700, so (100)(335) = 33,500. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (2)(67) = 134. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(6.7) = 6700, so (20)(6.7) = 13.4
On Tuesday Paul bought eight boxes. On Wednesday half of all the boxes that he had were destroyed. On Thursday there were only 17 left. How many did he have on Monday?
Solve the problem. Round to the nearest cent.Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then. How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?a. $9452.54c. $12,328.91b. $11,025.45d. $10,094.57