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2 years ago

Can someone help me out on this please having trouble on both and show work please !!

Mathematics

1 answer:

inysia [295]2 years ago

5 0

The difference of the expression is as follows:

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5) = - 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4) = x - 19

<h3>How to find the difference of the expression?</h3>

The difference of the expression can be found when we combine the like terms.

Therefore,

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5)

6y⁴ + 3y² - 7 - 12y⁴ + y² - 5

6y⁴ - 12y⁴ + 3y² + y² - 7 - 5

- 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4)

3x - 15 - 2x - 4

3x - 2x - 15 - 4

x - 19

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A group of four numbers has an average of 14. The first three numbers are 11, 12 and 17. What's the missing number?

natali 33 [55]

Answer:

Step-by-step explanation:

So if 4 numbers have an average of 14, that means to find the sum of all 4 numbers, you work backwards & multiply 4x14 to get 56.

Then 56-the sum of the 3 numbers you already have (11+12+17=40)

56-40=16

To double check, to find the average of 4 numbers that total 56, you divide 56 by 4 & get 14

5 0

3 years ago

2 and 1/3 devided by 2/3

goldfiish [28.3K]

Answer:

3/5 , 7/2 , 3 1/2

Step-by-step explanation:

Two Plus One - Third

2 + $\frac{1}{3}$

Make Both Fractions-

$\frac{2}{1}$ + $\frac{1}{3}$

Make Same Denominator ( Bottom # Of Fraction )-

$\frac{2}{1}$ * $\frac{3}{3}$ = $\frac{6}{3}$

New Equation-

$\frac{6}{3}$ + $\frac{1}{3}$ = $\frac{7}{3}$

Seven - Thirds Divided By Two-Thirds.

$\frac{7}{3} / \frac{2}{3}$

Divide In Parts-

7 / 2 = 3.5

<h2><em>Final Answer of '2 and 1/3 divided by 2/3 is 3.5, 7/2, 3 1/2! </em><u><em>Don't Forget To Rate Brainiest!</em></u></h2><h2 /><h2><em> </em><em>-Aslina</em></h2>

3 0

3 years ago

Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

sladkih [1.3K]

Answer:

The equation of the line is;

y = -2x + 2

Step-by-step explanation:

Here, we want to write the equation of the line that passes through the given points

The general form of the equation is

y = mx + b

where m is the slope of the line and b is the y-intercept of the line

Mathematically, to get the slope, we use the slope formula

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

(x1,y1) = (-2,6)

(x2,y2) = (3,-4)

m = (-4-6)/(3+2) = -10/5 = -2

So the equation is in the form;

y = -2x + b

To get b, we substitute any of the two points

6 = -2(-2) + b

6 = 4 + b

b = 6-4 = 2

The equation of the line is thus;

y = -2x + 2

7 0

3 years ago

The parabola y = x2is shifted down by 6 units and to the right by 5 units.

omeli [17]

The equation of the new parabola is y = (x - 5)² - 6

Step-by-step explanation:

Let us revise the translation of a function

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

∵ The equation of the parabola is y = x²

∵ The parabola is shifted down by 6 units

- That means new y = y - k and k = 6

∴ The new y = x² - 6

∵ The parabola is shifted 5 units to the right

- That means the new y = (x - h)² and h = 5

∴ The new y = (x - 5)²

∴ The new equation is y = (x - 5)² - 6

The equation of the new parabola is y = (x - 5)² - 6

Learn more

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3 0

4 years ago

PLEASE HELP ME SOLVE THIS QUESTION ASAPPPPPPPPPPP

AveGali [126]

Answer:

Step-by-step explanation:

Volume of the pyramid :

$V=\dfrac{x^2*h}{3} =554.9\\\\x^2*h=554.9*3\\\\h=15.1\\\\x^2*15.1=554.9*3\\\\x^2=\dfrac{554.9*3}{15.1} \\\\x=\sqrt{\dfrac{1664,7}{15.1} } \\\\x=\sqrt{110,24503311258278145695364238411...} \\\\x=10,499763478887644993681148554978...\approx{10.50}$

8 0

3 years ago