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3 years ago

231

Mathematics

1 answer:

Inga [223]3 years ago

8 0

Answer:

y = 6x + 11

Step-by-step explanation:

The slope-intercept form ⇒ y = mx + c

Where m is the slope and c is y-intercept

So, we need to change point-slope form to slope-intercept form

The given equation: y - 5 = 6 (x+1)

∴ y - 5 = 6x + 6 add 5 to each side of the equation

∴ y = 6x + 6 + 5

∴ y = 6x + 11

So, the equation written in slope-intercept form is y = 6x + 11

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Jason had three more than four times the amount of money that Jeff has. Together they have $72. How much money does each person

adelina 88 [10]

Answer:

Jason has $58.20 and Jeff has $13.80.

Step-by-step explanation:

Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.

We know that together they have $72. So, we can write the following equation:

$x+y=72$

We know that Jason has three more than four times the amount of money Jeff has. So:

$x=3+4y$

This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:

$(3+4y)+y=72$

Combine like terms:

$5y+3=72$

Subtract 3 from both sides:

$5y=69$

Divide both sides by 5:

$y=69/5=\$13.80$

So, Jeff has $13.80

We know that Jason has three more than four times the amount of money Jeff has.

Therefore, Jason has:

$x=13.8(4)+3$

Multiply and add:

$x=\$58.20$

So, Jason has $58.20 and Jeff has $13.80.

And we're done!

7 0

3 years ago

What is the symbol of an inverse function

Nataly_w [17]

Answer:

f(-1

Step-by-step explanation:

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse".

8 0

3 years ago

Luke is building a bike ramp. The ramp is going to be 3 feet tall on the high end and 6 feet long. How long is the base of the r

eimsori [14]

Answer: 5.1961

Step-by-step explanation: I believe you would use the Pythagorean’s theorem, since it’s a problem about a ramp, always draw pictures for word problems. So you would plug your numbers in the formula and solve. 3 squared plus B squared (that’s what we are trying to find so its a variable) equals 6 squared. Then you square and it becomes 9 + b2= 36, subtract 9 on both sides, b2=27, then square root on both sides to get 5.1961. Hopefully that’s right. :)

7 0

4 years ago

Can someone help me?

ryzh [129]

Answer:

Step-by-step explanation:

So this is transformations

So this seems like it was rotated 180 degrees then dilated by a scale factor

The rule for 180 degrees is (-x,-y)

The rule for dilations is (2x,2y)

So the answer should be

C. (-2x,-2y)

Have a nice day

7 0

3 years ago

Read 2 more answers

The difference of two numbers is 40. Find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.

puteri [66]

Answer:Let the two unknown numbers be x and y.

So, x-y=40 ........Equation 1

And 0.3(x)= 37.5/100 (y)

From equation 1, x=40+y

Now, multiply through by 100 in equation 2.

We have,

30x = 37.5 (y)

We can multiply through by 10 again,so that the number on the L.H.S becomes a whole number.

Therefore, we have

300x = 375 (y)

Put "x=40+y" in the equation above

That is, 300 (40+y) = 375 (y)

1200 + 300y = 375y

1200 = 375y - 300y

1200 = 75y

Divide both sides by 75 to get your y

Therefore, y =16

From equation 1, we had x= 40 + y

Therefore X = 40 + 16

X= 56

Therefore the two unknown numbers are 56 and 16 respectively.

Step-by-step explanation:

6 0

3 years ago