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3 years ago

Explain why it is necessary to rename 4 1/4 if you subtract 3/4 from it.

Mathematics

1 answer:

WITCHER [35]3 years ago

3 0

In order to add or subtract fractions, they must have a common denominator. I hope I answered your question.

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Solve y=-3x² + 4.5x – 20<br> Use the Quadratic formula

statuscvo [17]

Answer:

$x=0.75 \pm 2.47067i$

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}$

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

$x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}$

$x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}$

$x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}$

$x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}$

$x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}$

$x=\frac{4.5 \pm i14.824 }{6}$

$x=0.75 \pm 2.47067i$

7 0

3 years ago

The mean of four numbers is 7. Three of the numbers are 5,7 and 7. What is the fourth number?

Marrrta [24]

Answer:

fourth number is 9

Step-by-step explanation:

let 'x' equal the fourth number

(5+7+7+x)/4 = 7

cross-multiply to get:

19 + x = 28

x = 9

5 0

2 years ago

Read 2 more answers

Simplify the following expression as much as possible. 4^10/4^10 x 7^0=?

kap26 [50]

Answer:

Step-by-step explanation:

4^10/4^10 x 7^0 =

= 4^(10 - 10) * 1

= 4^0 * 1

= 1 * 1

= 1

8 0

3 years ago

Read 2 more answers

Eva and her children went into a restaurant and where they sell hotdogs for $5 each and tacos for $2.50 each. Eva has $30 to spe

Tanzania [10]

Answer:

Step-by-step explanation:

(dont mind my spelling im bad at that)so seeing that one hot dog is 5 dollors

and two hotdogs would cost 10 dollors and that would leave 20 dollors to spend and seeing that one taco is 2 dollors and 50 cents we need to figure out how many times does 2.50 go into 20 which is 8 so eva can buy 8 tacos along with 2 hot dogs

8 0

3 years ago

Read 2 more answers

The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.

dalvyx [7]

Function transformation involves changing the form of a function

The function g(x) is $\mathbf{g(x) = 8(2)^x}$

The function is given as:

$\mathbf{f(x) = 3^x}$

g(x) is an exponential function that passes through points (-2,2) and (-1,4).

An exponential function is represented as:

$\mathbf{y = ab^x}$

At point (-2,2), we have:

$\mathbf{2 = ab^{-2}}$

At point (-1,4), we have:

$\mathbf{4 = ab^{-1}}$

Divide both equations

$\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}$

Simplify

$\mathbf{2=\frac{b^{-1}}{b^{-2}}}$

Apply law of indices

$\mathbf{2=b^{-1+2}}$

$\mathbf{2=b}$

Rewrite as:

$\mathbf{b =2}$

Substitute 2 for b in $\mathbf{2 = ab^{-2}}$

$\mathbf{2 =a(2^{-2})}$

This gives

$\mathbf{2 =a(\frac 14)}$

Multiply both sides by 4

$\mathbf{a = 8}$

Substitute 8 for (a) and 2 for (b) in $\mathbf{y = ab^x}$

$\mathbf{y = 8(2)^x}$

Express as a function

$\mathbf{g(x) = 8(2)^x}$

Hence, the function g(x) is $\mathbf{g(x) = 8(2)^x}$

Read more about exponential functions at:

brainly.com/question/11487261

8 0

2 years ago