evaluate (2x+3y)2 solve​

The values for [tex]x[/tex] are -5 and 20

Given to us:

[tex]x^2-15x-100=0[/tex]

In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.

for that you can take the LCM of 100 and check all factors of 100.

for example,

factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.

from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,

[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]

taking out common terms, we get

[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]

to find out the value of [tex]x[/tex] equating both the factors with 0, we get

[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]

Hence, the values for [tex]x[/tex] are -5 and 20

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Answer:

C or x=-5 or x=20

Step-by-step explanation:

Answer: 2 and 3

Step-by-step explanation:

The cube root of 12 is 2.28942848511, so it is between the integers 2 and 3.

Answer:

Elena spends 1.5 hours washing clothes.

Step-by-step explanation:

12.5 / 100 = 0.125

0.125 x 12 = 1.5

Answer:

5 Problems

Step-by-step explanation:

Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]

Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]

Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]

Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]

Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]

Cross out the common factor: 5

get the result: 5  

Answer: 5

Answer:

103

Step-by-step explanation:

detailed explanation is in the diagram above

Answer: Long Division Calculator with Decimals

look this up see if it helps

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

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

m=(20-8)/(-4-(-7))

m=12/(-4+7)

m=12/3

m=4

theres question marks where the exponent is supposed to go

Answer: 0=75degrees

Have a Great Day/Night

Answer:

thx for the 25 points, I know you meant to give it to me(≧▽≦)

Answer:

B

Step-by-step explanation:

10/100 = /0.1. it should be more than x so add x to it to be 0.1+X

Answer: y=-1/3x+4

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocals. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex], and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:

y=mx+b

y=3x-4

m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:

Therefore, y=-1/3x+4 is the correct answer.

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

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Profits are simply the difference between the selling price and the cost price of an item.

The expression that represents the total profit is 3850x - 22100

The profit (p1) on the first item is given as:

[tex]p_1 = 2000x - 10500[/tex]

The profit (p2) on the second item is given as:

[tex]p_2 = 1850x - 11600[/tex]

So, the total profit (p) on the sales of both items is:

[tex]p = p_1 + p_2[/tex]

Substitute known values

[tex]p = 2000x - 10500 + 1850x - 11600[/tex]

Collect like terms

[tex]p = 2000x + 1850x- 10500 - 11600[/tex]

[tex]p = 3850x-22100[/tex]

Hence, the expression that represents the total profit is 3850x - 22100

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Answer:

Step-by-step explanation:

318 / 40 = 7.95

each store got 7 boxes of milk

40 x 7 = 280

318 - 280 = 38

38 boxes got stored

so

true

false

false

true

Answer:

Exact: 10.08

To 1 decimal place: 10.1

Step-by-step explanation:

Just ask.

Hope this helps.

Answer:

12

Step-by-step explanation:

3 square root of 2 equals 12

Answer:

i dont know sry

Step-by-step explanation:

:)

Transformation involves changing the position of a shape

(a) The sequence that maps both triangles

From the figure the coordinates of both triangles are:

[tex]A = (-5,0)[/tex]

[tex]B = (-2,1)[/tex]

[tex]C = (-4,2)[/tex]

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Start by reflecting triangle ABC across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A = (5,0)[/tex]

[tex]B = (2,1)[/tex]

[tex]C = (4,2)[/tex]

Next, translate the triangle 1 unit left and 2 units down

The rule of this transformation is:

[tex](x,y) \to (x,-1,y-2)[/tex]

So, we have:

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units

(b) The ordered pair rule

In (a), we have:

[tex](x,y) \to (-x,y)[/tex] ---- reflection

[tex](x,y) \to (x,-1,y-2)[/tex] --- translation

Combine both transformations, so we have the following ordered pair:

[tex](x,y) \to (-x,-1,y-2)[/tex]

Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]

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Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

Using the linear function, it is found that the correct option is given by:

Linear functions modeling a cost have the following format:

[tex]C(t) = C(0) + at[/tex]

In which:

In this problem, the cost for t hours of work is modeled by:

[tex]C(t) = 50 + 80t[/tex]

Which means that the correct statement is:

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Answer:

1/3 +1/5 per hour

Step-by-step explanation:

hope i helped sorry if i didn't

6)  [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{5}{8} \\[/tex] = [tex]\frac{9}{4} . \frac{8}{5} = \frac{9.4.2}{4.5} =\frac{18}{5}[/tex]

7)  [tex]2\frac{1}{2}[/tex] ÷ [tex]4\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{9}{2}[/tex] = [tex]\frac{5}{2} .\frac{2}{9}=\frac{5.2}{2.9} =\frac{5}{9}[/tex]

ok done. Thank to me :>

Answer:

114 each month

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

228 divided by 2 = 114

Answer:8

Step-by-step explanation:

Answer:

f(7)

Step-by-step explanation:

i am pretty sure i am not in highschool so just give me a thanks i am in 6 grade happy rest of the day

Answer:

1. L = 3D +59

2. 158 miles

Step-by-step explanation:

For the second part:

Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.

Answer:

The Slope is -2

Step-by-step explanation:

The entered points belong to a decreasing, linear function.

Equation: y = -2x + 5.

Answer:

Slope = -2

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\left(x_1,\:y_1\right)=\left(-4,\:13\right),\:\left(x_2,\:y_2\right)=\left(8,\:-11\right)\\m=\frac{-11-13}{8-\left(-4\right)}\\\mathrm{Refine}\\m=-2[/tex]