5/8 - 4/5 subtract as indicated and express your answer in lowest terms

9514 1404 393

Explanation:

The standard form of a quadratic function and the formula for finding its zeros are shown here:

  [tex]f(x)=ax^2+bx+c \qquad\text{standard form of a quadratic function}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \qquad\text{formula for finding $x$ such that $f(x)=0$}[/tex]

Answer:

Alternate interior angles

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

Answer:

ln([tex]x^{9}[/tex] * [tex]y^{8}[/tex])

Step-by-step explanation:

property:  ln( A * B ) =  ln(A) + ln(B)  :)

ln([tex]x^{9}[/tex]) + ln([tex]y^{8}[/tex])

property:  ln([tex]A^{x}[/tex]) = xln(A)

9*ln(x) + 8*ln(y)   ;)

Answer:

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

--------------------------

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

Sandwich costs $2

Answer:

[tex]\dfrac{1}{3}(b-21)[/tex]

Step-by-step explanation:

We need to find an equivalent expression for [tex]\dfrac{1}{3}b-7[/tex]

The denominator of first fraction is 3 and that of other is 1.

[tex]\dfrac{1}{3}b-7\\\\=\dfrac{b-21}{3}[/tex]

or

[tex]=\dfrac{1}{3}(b-21)[/tex]

Hence, the equivalent expression is [tex]\dfrac{1}{3}(b-21)[/tex].

The answer Is 1/3(b-21)

Answer:

Step-by-step explanation:

If we have the scale

2 cm: 21 km

8.6 cm will be

x=actual distance

x=(8.6*21)/2=90.30 km

The simplified form of the given expression is 8x+7

From the question, we are to write the simplified form of the given expression

The given expression is

3x+4+5x+3​

3x+5x+4+3

8x+7

Hence, the simplified form of the expression is 8x+7

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Answer:

Option D.

[tex]\mathbf{\sqrt{3}} +1}[/tex]

Step-by-step explanation:

The given integral is:

[tex]\int^d_c \int ^{h_2(y)}_{h_1(y)} f(x,y)\ dx \ dy[/tex]

The intersection curves enclosed by the surfaces:

z = 2 - x² - y² and z = 2x + 2y

This implies that:

[tex]2x +2y = 2 - x^2- y^2[/tex]

[tex](x^2 + 2x) +(y^2 + 2y) = 2 \\ \\ (x+1)^2 + (y + 1)^2 = 4 --- (1)[/tex]

We will realize that the curve of this intersection is a circle which is centered at (-1, -1) of the radius 2.

So, from equation (1)

[tex](x + 1)^2 = 4 - (y + 1)^2[/tex]

x + 1 = ±[tex]\sqrt{4 - (y + 1)^2}[/tex]

[tex]x = -1 \pm \sqrt{4 - (y+1)^2}[/tex]

Now,

[tex]h_2 (y) = -1 + \sqrt{4 - (y +1)^2}[/tex] and [tex]h_1 (y) = -1 - \sqrt{4 - (y +1)^2}[/tex]

[tex]h_2(0) = -1 + \sqrt{4-1}[/tex]

[tex]h_2(0) = -1 + \sqrt{3}[/tex],  and:

[tex]At \ \ (-1, -1); \\ \\ z = 2 - (-1)^2 - (-1)^2 \\ \\ z = 2 - 1 - 1 \\ \\ z = 0[/tex]

and

[tex]z = 2x + 2y \\ \\ z = 2(-1) + 2 (-1) \\ \\ z = -2 + (-2) \\ \\ z = -4[/tex]

The surface z = 2-x²-y² lies above z = 2x + 2y in the region of intersection

∴

[tex]f(x,y) = (2 - x^2 - y^2) - (2x + 2y) \\ \\ f(0,0) = 2 - 0 \\ \\ f(0,0) = 2[/tex]

So, h₂ (0) + f(0,0) = [tex]\sqrt{3}} - 1 + 2[/tex]

h₂ (0) + f(0,0) = [tex]\mathbf{\sqrt{3}} +1}[/tex]

Answer:

x ≈ 8.6 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 35°

Opposite Leg = x

Hypotenuse = 15

Step 2: Solve for x

Answer:

The restaurant ordered 28 gallons of milk.

Step-by-step explanation:

We have 4 quarts in 1 gallon:

[tex] \frac{1 G}{4 Q} [/tex]

Since the restaurant orders 112 quarts we have:

[tex] \frac{1 G}{4 Q}*112 Q = 28 G [/tex]              

Hence, the restaurant ordered 28 gallons of milk.

I hope it helps you!                                                                  

Answer:

22

Step-by-step explanation:

12+(8/(2/3)-2

22

Answer:

22

Step-by-step explanation:

First divide 8 by 2/3 ( since it’s in parentheses) and that gives you 12. Then add 12 + the 12 that was in parentheses. That leaves you with 24-2 which equals 22.

Answer:

a)  Red marble:  6/17

b) Green marble: 11/17

c) Purple marble : 0/17 = 0

d) a red or a green marble: 1

Step-by-step explanation:

Number of marbles: 17

Probability to pick one red marble: (# successes) / (# total) = 6/17

Probability to pick a green marble: (# successes) / (# total) = 11/17

Probability to pick a purple marble: (# successes) / (# total) = 0/17 = 0

Probability to pick a green marble or a red marble: Prob one green + prob one red = 11/17 + 6/17 = 17/17 = 1

Answer:

X < -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x+2>11

-3x-2>11-2

-3x>9

Divide by -3 on both sides

X>-3

Answer:

m + (m + 15) + (m + 2)

Step-by-step explanation:

Even thought we don't know the value of m, we can use expressions to represent it.

Hope this helps.

The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Let's represent Marla drove "m" miles.

Since Lawrence drove 15 more miles than Marla.

So, this means the expression m + 15

Then Jerry drove 2 more miles than Marla.

So, this means the expression m + 2

Now, the total number of miles = m + (m + 15) + (m + 2)

This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Learn more about the algebraic expression here :

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[tex] - 12 = x + \frac{8}{ - 3} [/tex]

[tex] - 12 - ( \frac{8}{ - 3} ) = x[/tex]

[tex] - 12 - \frac{8}{3} = x[/tex]

[tex] \frac{ - 36}{3} - \frac{8}{3} = x[/tex]

[tex] \frac{ - 36 - 8}{3} = x[/tex]

[tex] \frac{44}{3} = x[/tex]

Answer:

y=3x-4

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Domain of a function is a set of x-values (input values).

Range of a function is a set of y-values (output values).

Since, input and output values of the function given in the graph vary from negative infinity to positive infinity

Domain of the function given in the graph will be,

(-∞, ∞)

And range of the function is,

(-∞, ∞)

Option (A) will be the correct option.

Answer:

the answer is c becaus it id the longes tone

Step-by-step explanation:

Answer:

I believe the answer is B.

sorry if i'm wrong .-.

Step-by-step explanation:

Answer:

honestly if u ask me ima have to say she lost some money cause

Step-by-step explanation:

she got it for 25 right then she got an exstra 5 dollars cause she sold it

for 30 then she got the same pen for 35 when she got it for 25 the first time  so 25-35 = 10 meaning she lost 10 dollars and got 10 dollars back because if u add the 5 dollars from the 30 then from the 40 u get ten meaning

she just got her money right back

Answer:

3/5 cup of water = 3/4 of container

1 cup of water = 3/4 * 5/3 of container

= 5/4 of container

Answer:

Step-by-step explanation:

ok so first you have to make equalt denominaters

3/5 = 12/20

3/4 = 15/20

so you can fill one and 3/20 with one full glass of water.

Answer:

C. Either- The hats have equal volumes

Answer:

C. 29

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

1/4(d - 2) = 6

Step 2: Solve for d

Step 3: Find

If you put $500 in a bank with a 6% investment rate (which is rather high honestly) then next year you would have $530 in the bank, then 561.80 and so on. I feel like I misunderstood the question, but hopefully this helps, if at all.

May I have brainliest please? :)

Answer:

Your answer is 0.25

Step-by-step explanation:

Dont give me the brainiest give the other person the brainiest

Answer:

b)

The  equation of the line that passes through a pair of points

   [tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]

Step-by-step explanation:

 Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

                        [tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}[/tex]

The  equation of the line that passes through a pair of points

              [tex]y - y_{1} = m ( x - x_{1} )[/tex]

           [tex]y - (-2) = \frac{-1}{8} ( x - (5) )[/tex]

          [tex]y = \frac{-1}{8} ( x ) +\frac{5}{8} -2[/tex]

        [tex]y = \frac{-1}{8} ( x ) +\frac{5-16}{8}[/tex]

      [tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]

Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The correct option is D.

What is Rotational Symmetry?

Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.

Since for the rotational symmetry, the figure should look the same even if the figure is rotated. Thus, the figure that has a rotational symmetry is a rhombus. Hence, the correct option is D.

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Answer:

3 with a remainder of 15

Step-by-step explanation:

Long division

Answer:

[tex]64a^{3} b^{6}[/tex]

Step-by-step explanation:

1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:

[tex](4ab^{2} )^3[/tex]

[tex]4^{3}[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

2) The variables are fine - you can't simplify them further. All you need to do now is multiply the [tex]4^{3}[/tex] out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"

[tex]4[/tex] · [tex]4[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

[tex]16[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

[tex]64a^{3} b^{6}[/tex]

Therefore, [tex]64a^{3} b^{6}[/tex] is the answer.