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3 years ago

If the sum of four times a number and four less than three times a number is seventeen

Mathematics

1 answer:

NARA [144]3 years ago

8 0

Answer:

13divided by 7

Step-by-step explanation:

$4x + 3x - 4 = 17 \\ 7x - 4 = 17 \\ 7x = 17 - 4 \\ 7x = 13 \\ \frac{7x}{7} = \frac{13}{7 } \\ x = \frac{13}{7} or1 \times \frac{6}{7}$

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A large carton of milk is 72 ounces. How

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Answer: not here!

Step-by-step explanation: 72 ounces is 9 cups! (Divide by 8) (Assuming you mean US cups)

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2 years ago

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On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° . What statement is

Makovka662 [10]

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2 years ago

Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.

We know that,

$a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}$

Next, we need to plug in the known values and calculate the value of $f(2.1)$ :

${L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)$

Then

$f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360$ .

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2 years ago

What is the equation of the line that passes through the point (3, 4) and has a slope<br> of - 2/3?

fgiga [73]

Answer: y= - 2/3x+6

Step-by-step explanation:

Just plug in values into this equation (slope intercept form)

y=mx+b

3 is x value

4 is y value

m is the slope which is - 2/3

So after you plug in the values, solve for b ("b" is the y intercept):

4=-2/3(3)+b

4=-2+b

b=6

Then add in the b value into your equation and you will get y= - 2/3x+6

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2 years ago

Ellipsis a set of three dots at the end of a number used to indicate that the number will infinitely continue in the same patter

alexdok [17]

Answer:

Match the vocabulary words to the proper definition.

1. a decimal that ends

repeating decimal

2. a decimal whose digits to the right of the decimal point repeat indefinitely

terminating decimal

3. a set of three dots at the end of a number used to indicate that the number will infinitely continue in the same pattern

irrational number

4. a horizontal bar used in mathematical notation; in fractions, it is the bar that separates the numerator from the denominator; in repeating decimals, it indicates a group of repeating numbers

vinculum

5. a number that can be written as a ratio in fraction form

ellipsis

6. a number that, when in decimal form, does not terminate or repeat

rational number

Step-by-step explanation:

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2 years ago