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Iteru [2.4K]
3 years ago
5

PLSS HELP IF YOU TURLY KNOW THISS :)

Mathematics
2 answers:
Delicious77 [7]3 years ago
7 0
The answer is 22
2(5)+4(3)
10+12 =22 hope this help you :)
____ [38]3 years ago
4 0

Answer:

22

Step-by-step explanation:

Given

2t + 4s ( substitute t = 5, s = 3 into the expression )

= 2(5) + 4(3)

= 10 + 12

= 22

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Divide the rational expressions and express in simplest form. When typing your answer for the numerator and denominator be sure
Veseljchak [2.6K]

Dividing by a fraction is equivalent to multiply by its reciprocal, then:

\begin{gathered} \frac{3y^2-7y-6}{2y^2-3y-9}\div\frac{y^2+y-2}{2y^2+y-3^{}}= \\ =\frac{3y^2-7y-6}{2y^2-3y-9}\cdot\frac{2y^2+y-3}{y^2+y-2}= \\ =\frac{(3y^2-7y-6)(2y^2+y-3)}{(2y^2-3y-9)(y^2+y-2)} \end{gathered}

Now, we need to express the quadratic polynomials using their roots, as follows:

ay^2+by+c=a(y-y_1)(y-y_2)

where y1 and y2 are the roots.

Applying the quadratic formula to the first polynomial:

\begin{gathered} y_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ y_{1,2}=\frac{7\pm\sqrt[]{(-7)^2-4\cdot3\cdot(-6)}}{2\cdot3} \\ y_{1,2}=\frac{7\pm\sqrt[]{121}}{6} \\ y_1=\frac{7+11}{6}=3 \\ y_2=\frac{7-11}{6}=-\frac{2}{3} \end{gathered}

Applying the quadratic formula to the second polynomial:

\begin{gathered} y_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ y_{1,2}=\frac{-1\pm\sqrt[]{1^2-4\cdot2\cdot(-3)}}{2\cdot2} \\ y_{1,2}=\frac{-1\pm\sqrt[]{25}}{4} \\ y_1=\frac{-1+5}{4}=1 \\ y_2=\frac{-1-5}{4}=-\frac{3}{2} \end{gathered}

Applying the quadratic formula to the third polynomial:

\begin{gathered} y_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ y_{1,2}=\frac{3\pm\sqrt[]{(-3)^2-4\cdot2\cdot(-9)}}{2\cdot2} \\ y_{1,2}=\frac{3\pm\sqrt[]{81}}{4} \\ y_1=\frac{3+9}{4}=3 \\ y_2=\frac{3-9}{4}=-\frac{3}{2} \end{gathered}

Applying the quadratic formula to the fourth polynomial:

\begin{gathered} y_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ y_{1,2}=\frac{-1\pm\sqrt[]{1^2-4\cdot1\cdot(-2)}}{2\cdot1} \\ y_{1,2}=\frac{-1\pm\sqrt[]{9}}{2} \\ y_1=\frac{-1+3}{2}=1 \\ y_2=\frac{-1-3}{2}=-2 \end{gathered}

Substituting into the rational expression and simplifying:

\begin{gathered} \frac{3(y-3)(y+\frac{2}{3})2(y-1)(y+\frac{3}{2})}{2(y-3)(y+\frac{3}{2})(y-1)(y+2)}= \\ =\frac{3(y+\frac{2}{3})}{2(y+2)}= \\ =\frac{3y+2}{2y+4} \end{gathered}

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1 year ago
The sum of 13 and twice a number
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Evaluate 7m+2n-8p/n for m = -4, n = 2, and p = 1.5
Zanzabum
7*-4= -28 +4-12/2
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2 years ago
Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triang
PIT_PIT [208]
Simple Pythagorean theorem, And if you double check Tamara's work she is correct. Therefor B is the correct answer. 
3 0
3 years ago
Read 2 more answers
Hello Please Find The Answer To This Question (easy)
irina [24]

The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the perpendicular line will be given as

y = mx + c

The given equation is y = -5/2 x + 1.

The slope of the line is -5/2.

Then the product of the slope of the perpendicular lines is a negative one.

-5/2 × m = - 1

m = 2/5

Then the equation will be

y = 2/5 x + c

Then the equation is passing through (10, 3). Then we have

3 = 2/5 × 10 + c

3 = 2 + c

c = 1

Then the equation is y = 2/5 x + 1.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

7 0
2 years ago
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