if x = 5, then 3x + 4x - 15 equals = ?

Answer:

-4 and 7

Step-by-step explanation:

-4 + 7 = 3

-4•7 = -28

Answer: The answer is v=25.1 cm³

Step-by-step explanation:

b=4      

h= 2

r= 4/2     r =2 radius is half of the diameter

V=πr²h

v= π(2)²2

v= 25.132741228718

v=25.1 cm³

Answer:

Y= 3X-7

Step-by-step explanation:

the equation of the line has the formular

Y-Y1= M (X-X1)

here, M= slope= 3

X1=2 Y1= -1

Y--1= 3(X-2)

Y+1= 3X-6

Y= 3X-6-1

Y= 3X-7

Answer:

y=3x-7

Step-by-step explanation:

1. Use The Slope Formula

 y=mx+b

m=slope

b=y-intercept

2. Fill in the given values

y=3x+b

3. Use the given points to solve for b

-1=3*2+b

-1=6+b

-7=b

4. Final equation

y=3x-7

Answer:

This is less chocolate ice cream per cup of milk than in the first mixture (2 scoops of chocolate ice cream per cup of milk), so the first mixture has stronger chocolate flavor. 2 scoops of chocolate ice cream with 1 cup of milk will taste the same as 4 scoops of chocolate ice cream with 2 cups of milk.

Step-by-step explanation:

Answer:

If you did 3 scoops of ice-cream and 2 cups of milk you would have 2times the amount of milk and only 1 1/2 times the amount of ice-cream then if you did 1 cup of milk and 2 scoops of ice-cream.

Step-by-step explanation:

To solve this question, we will have to use the aspect of mathematics that is referred to as rates or proportions.

In the first mix, what we have is that we are going to mix 2 scoops of chocolate ice cream with 1 cup of milk. What is noticeable here is that we have 2 scoops of chocolate per 1 cup of milk or there is a 2 to 1 ratio of chocolate ice cream to cup of milk.

Now in the second mix, we are mixing 3 scoops of chocolate with 2 scoops of milk. What we have here is a ratio of 3 to 2. This means that we are having a ratio of 1.5 to 1 of the number of scoops of chocolate ice cream to number of cups of milk.

Looking at this, we can deduce that a 2 to 1 ratio is a greater value compared to a 1.5 to 1 ratio. This is the reason why we are having a stronger chocolate flavor in the first mix than the chocolate flavor in the second mix

Answer:

∛15.

Step-by-step explanation:

15^1/3

= ∛15.

Answer:

   41. (2) x² - 3x - 4 =0

Step-by-step explanation:

Question 41

Standard form of polynomial

Answer:

(2)  [tex]x^2-3x-4=0[/tex]

Step-by-step explanation:

Standard form of a quadratic equation:  [tex]ax^2+bx+c=0[/tex]

When factoring a quadratic (finding the roots) we find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers.

So if the roots sum to 3 and multiply to -4, then the two numbers would be 4 and -1.

[tex]\implies b=1+-4=-3[/tex]

[tex]\implies ac=1 \cdot -4[/tex]

As there the leading coefficient is 1, [tex]c=-4[/tex].  

Therefore, the equation would be:  [tex]x^2-3x-4=0[/tex]

Proof

Factor  [tex]x^2-3x-4=0[/tex]

Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

The two numbers that multiply to -4 and sum to -3 are:  -4 and 1.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies x^2-4x+x-4=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x-4)+1(x-4)=0[/tex]

Factor out the common term  [tex](x-4)[/tex]:

[tex]\implies (x+1)(x-4)=0[/tex]

Therefore, the roots are:  

[tex](x+1)=0 \implies x=-1[/tex]

[tex](x-4)=0 \implies x=4[/tex]

So the sum of the roots is:  -1 + 4 = 3

And the product of the roots is:  -1 × 4 = -4

Thereby proving that  [tex]x^2-3x-4=0[/tex]  has roots whose sum is 3 and whose product is -4.

Answer:

Step-by-step explanation:

-11 + 13 +  10x + 2x =

2 + 10x + 2x =

12x + 2

Answer:

2(6x+1)

Step-by-step explanation:

1. Add the number

-11 + 13 + 10x + 2x

2 + 10x +2x

2.Combine like terms

2 + 10x + 2x

2 + 12x

3.Arrange terms

2 + 12x

12x + 2

4.Common factor

-11 + 13 + 10x + 2x

2(6x+1)

Answer:

[tex]3\times8=24[/tex]

Step-by-step explanation:

Notice that the shaded figure has a width of 3 cm and a length of 8 cm. The area of the rectangle is equal to the product of the width and length, so [tex]8\:\text{cm}\times3\:\text{cm}=24\:\text{cm}^2[/tex] would be the area of the shaded figure.

The equation k(x) = x^2 is quadratic equation, and the value of n in p (x) = k (x) + n is -6

The equations are given as:

k(x) = x^2

p (x) = k (x) + n

From the graph, we can see that the graph of k(x) is shifted down by 6 units.

This means that the equation of p(x) is

p (x) = k (x) - 6

By comparison;

n = -6

Hence, the value of n in p (x) = k (x) + n is -6

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The expressions equivalent to kara's expression are 0.7p and p-0.3p

Discount price expression = p(1 - 0.3)

= p - 0.3p

= 0.7p

Check for equivalent expression

p - 0.3

Not equivalent

1 - 0.3p

Not equivalent

0.7p

Equivalent

p - 0.3p

Equivalent

1.3p

Not equivalent

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Answer:

1) x² + x

2) Check Below.

Explanation:

Hence sequence can be created:

2, 6, 12

Find difference:

2, 6, 12

 4   6

    2

Find Equation:

Then,

Then,

So Equation:

With Step Increasing, The step number multiplies the step number and plus the step number. That is the number of squares.

Answer:

531,441

Step-by-step explanation:

3^2=9

9^6=531,441

Answer:

[tex] \sqrt{ {2}^{6 } } = 27 if thats what you meant here is another answer{ {2}^{6} = 64[/tex]

Answer:

RT = 26

Step-by-step explanation:

Based on the figure we can say :

Scale factor :

Hence, as the proportions are the same :

The triangle ABC and RST will be similar triangles. Then the length of RT will be 26 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The triangle ABC and RST will be similar triangles.

RT / 13 = 24 / 12

      RT = 26

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you can turn this into an equation: [tex]c=25m[/tex], where c is the cost and m is number of months.

solve for blue.

[tex]c=25m\\\\c=25(14)\\\\c=350[/tex]

The blue section costs $350.

Answer:

262 1/2 liters

Step-by-step explanation:

Remaining water in tank :

Answer:

262.5 litres

Step-by-step explanation:

Water taken from the tank

⇒ 11 × 12.5 litres = 137.5 litres

Water left in tank

⇒ 400 - 137.5 = 262.5 litres

Answer:

The value of k to the nearest thousandth is -0.133

The of the turkey to the nearest degree after 4.5 hours is 186F

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the question, there's an quadrilateral whose sum of all exterior angle is 360°.

140° + 34° + 56° + x = 360°

➝ 230° + x = 360°

➝ x = 360° - 230°

➝ x = 130°

Thus, The value of x is 130°.

1) apply exponent to the terms inside the bracket - multiply exponents

[tex](u^3v^4)^4\\\\(u^1^2v^1^6)[/tex]

[tex](2u^4v^2)^2\\\\(4u^8v^4)[/tex]

2) multiply the two terms together - add exponents

[tex](u^1^2v^1^6)(4u^8v^4)\\\\4(u^1^2^+^8)(v^1^6^+^4)\\\\4u^2^0v^2^0[/tex]

Answer:

a,c,b,a,b

Step-by-step explanation:

6.

7.

8.

9.

10.

Circumference

10π ft

24π in

34π yd

40π in

16π ft

Radius

5 ft

12 in

17 yd

20 in

8 ft

Diameter

10 ft

24 in

34 yd

40 in

16 ft

Answer:

125%

Step-by-step explanation:

lets just say the book is $100. 20% less would be $80
now to go back to $100, we need to add $20 to $80
20 is 25% of 80, so add the extra 25% to 100% of 80

Answer:

   32. 40%

   33. 15%

   34. 1/5

   35. 1/4

Step-by-step explanation:

Question 32

Question 33

Question 34

Question 35

Answer:

32.  40%

33.  15%

34.  1/5

35.  1/4

Step-by-step explanation:

Given:

⇒ Total poultry = 27 + 72 + 45 + 36 = 180

[tex]\sf Percentage = \dfrac{Part}{Whole}\times 100[/tex]

[tex]\implies \sf Hens = \dfrac{72}{180}\times 100=40 \%[/tex]

[tex]\implies \sf Geese= \dfrac{27}{180}\times 100=15 \%[/tex]

[tex]\sf Fraction= \dfrac{Part}{Whole}[/tex]

[tex]\implies \sf Ducks=\dfrac{36}{180}=\dfrac{36 \div 36}{180 \div 36}=\dfrac{1}{5}[/tex]

[tex]\implies \sf Turkeys=\dfrac{45}{180}=\dfrac{45 \div 45}{180 \div 45}=\dfrac{1}{4}[/tex]

The roots of the equation [tex]x^{2}[/tex]-15x +2 =0 are 14.865 and 0.135

Completing the square method is one of the methods to find the roots of the given quadratic equation.

Given equation is:

[tex]x^{2}[/tex]-15x +2 =0

Using Completing the Square method we have

[tex]x^{2}[/tex]-15x +2 + [tex](\frac{15}{2})^{2}[/tex] - [tex](\frac{15}{2})^{2}[/tex] =0

Now,

[tex]x^{2}[/tex]-15x + [tex](\frac{15}{2})^{2}[/tex] - [tex](\frac{15}{2})^{2}[/tex] +2=0

or, [tex][x-(\frac{15}{2})]^{2}[/tex] - 225/4 +2 =0

or,  [tex][x-(\frac{15}{2})]^{2}[/tex] -217*4 =0

or,  [tex][x-(\frac{15}{2})]^{2}[/tex] = 217/4

or,  [tex]x[/tex] = [tex]\pm \frac{14.73}{2} + \frac{15}{2}[/tex]

or, [tex]x_1[/tex]= 14.865, [tex]x_2[/tex]= 0.135

Thus, the roots of the quadratic equation are: 14.865 and 0.135

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Answer: 400

Step-by-step explanation: cube root 8000 then that times itself

Answer:

16 and 24

Step-by-step explanation:

The largest factor for both numbers have in common is 8, so GCF(16,24) = 8

Answer:

the first one

Step-by-step explanation:

because I know the answer

The quadratic function represented in the graph is f(x) = -5 (x - 1) (x + 5).

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given a graph of a quadratic function.

The graph is directed downwards. So the leading coefficient is negative.

The function touches the X axis at two points, x = -5 and x = 1.

So -5 and 1 are the zeroes of the function.

So the function can be factored as,

f(x) = (x + 5)(x - 1)

So the quadratic equation is,

f(x) = -5 (x - 1) (x + 5)

Hence the equation of the given quadratic equation is f(x) = -5 (x - 1) (x + 5).

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Answer:

x= 20,y= −36

Step-by-step explanation:

3x+2y=−12

2x+y=4

Subtract 2x

from both sides of the equation.

y=4−2x

3x+2y=−12

Replace all occurrences of y

with 4−2x

in each equation.

Tap for more steps...

−x+8=−12

y=4−2x

Solve for x

in −x+8=−12

.

Tap for more steps...

x=20

y=4−2x

Replace all occurrences of x

with 20

in each equation.

Tap for more steps...

y=−36

x=20

The solution to the system is the complete set of ordered pairs that are valid solutions.

(20,−36)

The result can be shown in multiple forms.

Point Form:

(20,−36)

Equation Form:

x=20,y=−36

Multiply 2 with (1) and 3 with (2)

Subtract

Answer:

first one is the valid probability distribution