5.(04.07)
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4* and g(x) = 5x + 2. What is the first year the f(x) height is greater than
the g(x) height?
Year 3
Year 0
Year 2
Year 1

Answer:

x = 3 and -2 are the two solutions.

Step-by-step explanation:

2x^2 -2x -12 = 0

First factor out a 2

2(x^2 - x - 6) = 0

2(x - 3)(x + 2) = 0

2 = 0 x - 3 = 0 x + 2 = 0

2 does not equal zero so this is an extraneous solution

x - 3 = 0 so x = 3

x + 2 = 0 so x = -2

Answer:

-2/3

Step-by-step explanation:

We need to put in slope intercept form..

Once we identify the slope of the line given, we can find the slope of the perpendicular line which is the opposite reciprocal of the slope for the given equation:

Let's do this:

2y-3x=86

add 3x on both sides to get 2y by itself

2y=3x+86

divide both sides by 2

y=3/2 x+43

So the slope is 3/2

The opposite reciprocal of 3/2 is -2/3 .

The answer is -2/3

Answer: A) [tex]18, 0, -10, -10[/tex]

Step-by-step explanation:

Given the quadratic function [tex]y=x^2-x-12[/tex], you need to substitute each value of "x" into the function to find the corresponding value of "y":

For [tex]x=-5[/tex]:

[tex]y=(-5)^2-(-5)-12\\\\y=18[/tex]

For [tex]x=-3[/tex]:

[tex]y=(-3)^2-(-3)-12\\\\y=0[/tex]

For [tex]x=-1[/tex]:

[tex]y=(-1)^2-(-1)-12\\\\y=-10[/tex]

For [tex]x=2[/tex]:

[tex]y=(2)^2-(2)-12\\\\y=-10[/tex]

The correct option is: A

Answer:

Step-by-step explanation:

The sum of x and 25 is less than 75. Inequality form shows x+25<75. To solve x, subtract 25 from both sides. x<50. X must be less than 50.

Answer:

L=130 while W=39

Step-by-step explanation:

Let's setup some equations.

W=.3L  from first sentence

2L+2W=338 from second sentence

I'm going to plug equation 1 into equation 2:

2L+2[.3L]=338

2L+.6L=338

2.6L=338

L=338/2.6

L=130

so W=.3L=.3(130)=39

Answer L=130 while W=39

Length of the rectangle = 130

Width of the rectangle = 39.

Given: that the width of a rectangle exists 30% of the length.

Where Perimeter = 338 ft

Width of the rectangle = 0.3L

Perimeter = 2(Length + Width)

Substitute the value of perimeter in the above equation, we get

2L + 2W = 338

2L + 2[0.3L] = 338

2L + 0.6L=338

2.6L = 338

L = 338/2.6

L = 130

Length of the rectangle = 130

So, Width of the rectangle = 0.3L

= 0.3(130) = 39

The length of the rectangle is 130 and the width of the rectangle is 39.

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Answer:

=6000 m/min

Step-by-step explanation:

There are 60 seconds in 1 minute.

The speed of the race car is 100 m/s. If it covers 100 m in one second,  then in one minute it will cover a longer distance calculated as follows.

100 m/s × 60 second/min = 6000 m/min

Answer: Last Option

6,000 meters per minute

Step-by-step explanation:

We know that 60 seconds is equal to one minute.

Then we use this data as a conversion factor.

The speed of the car is 100 meters per second, this is:

[tex]s = 100\ \frac{meters}{seconds}[/tex]

Now we multiply this amount by the conversion factor in the following way:

[tex]100\ \frac{meters}{second} * \frac{60\ second}{1\ minute}= 6000\ \frac{meters}{minute}[/tex]

The answer is:

6,000 meters per minute

Answer:

Step-by-step explanation: The first step is to divide this shape into multiple other shapes. First, let's start with the smaller rectangle. It has a height of 10 centimeters and a width of 9 centimeters, giving us 90 centimeters in total.

Now, lets do the bigger rectangle. The height is 12 centimeters, and the width is 24 centimeters. [tex]12*24=288[/tex]

[tex]288+90 = 378[/tex], so our answer will be 378.

Answer:

y = x³ + 2x² - 13x + 10

Step-by-step explanation:

Given

y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)

  = (x + 5)(x² - 2x - x + 2)

  = (x + 5)(x² - 3x + 2)

Multiply each term in the second factor by each term in the first factor

= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis

= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms

y = x³ + 2x² - 13x + 10

Answer:

x=3/4

Step-by-step explanation:

0=8(8x-7)+8

0=64x-56+8

0=64x-48

48=64x

x=48/64

x=6/8

x=3/4

[tex]8(8x - 7) + 8=0\\64x-56=-8\\64x=48\\x=\dfrac{48}{64}=\dfrac{3}{4}[/tex]

ANSWER

[tex]c = 5[/tex]

EXPLANATION

A quadratic equation is said to be in standard form when it is in the form

[tex]a {x}^{2} + bx + c = 0[/tex]

where a, b, c are real numbers.

The given quadratic equation is

[tex] - 6 = {x}^{2} + 4x - 1[/tex]

When we add 6 to both sides, we obtain,

[tex]-6 + 6= {x}^{2} + 4x - 1 + 6[/tex]

[tex] \implies \: 0= {x}^{2} + 4x + 5[/tex]

Or

[tex]\implies \: {x}^{2} + 4x + 5 = 0[/tex]

This is what Alexandra got after he wrote the quadratic equation in standard form.

By comparing this equation to

[tex]a {x}^{2} + bx + c = 0[/tex]

we have a=1, b=4 and c=5.

Answer: [tex]x=2[/tex]

Step-by-step explanation:

According to the Intersecting Secants Theorem, when two secants intersect each other outside a circle, then the products of their segments are equal.

Based on this, we can write this expression:

[tex](3)(3+5)=(4)(4+x)[/tex]

Knowing this, we can solve for "x". Therefore, this is:

[tex](3)(8)=(4)(4+x)\\\\24=16+4x\\\\24-16=4x\\\\8=4x\\\\\frac{8}{4}=x\\\\x=2[/tex]

Answer:

[0, 2, 5]

Step-by-step explanation:

Find z, plug in 5 for every "z" you see, then solve by Elimination to find y and x.

The solution to the given system of linear equations is x = 1, y = 3, z = 5. The problem is resolved by first solving the simplest equation and using its answer to simplify and solve the next, allowing us to find the final answers.

To solve the given system of linear equations, we need to find the values for variables x, y and z that satisfy all the three equations. Start by solving the simplest equation which is '2z = 10'. By dividing both sides by 2, we find that z = 5.

Next, substitute z = 5 into the other two equations. The first equation 'x + 2y + z = 9' becomes 'x + 2y + 5 = 9', which simplifies to x + 2y = 4. The second equation 'x - y + 3z = 13', becomes 'x - y + 3*5 = 13', simplifying to x - y = -2.

We now have two equations with two variables, which we can solve simultaneously. By adding the equations together '(x + 2y = 4) + (x - y = -2)', we get 2x + y = 2, hence, x = 1. Substituting x = 1 into 'x - y = -2' yields y = 3.

Therefore, the solution to the system is x = 1, y = 3, z = 5.

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Answer:

Debit Card

Step-by-step explanation:

It is not a credit card, but you can use it to purchase anything, but you have your own money to use. Credit cards are used to purchase anything as well, but that is the bank's money you are borrowing and eventually, you have to pay them back the EXACT same money.

The type of card that is not really a credit card but is sometimes used for credit purchases is a primary sales credit card.

A primary sales credit card is a type of card that is issued by a merchant or retailer, rather than a bank. It can be used to make purchases at that particular merchant, and the cardholder is typically given a line of credit that they can borrow against. However, primary sales credit cards are not considered to be true credit cards because they are not issued by a licensed financial institution.

There are a few reasons why someone might choose to use a primary sales credit card. One reason is that they may not be able to qualify for a traditional credit card from a bank. Another reason is that primary sales credit cards often offer special benefits, such as discounts on purchases or rewards programs.

However, it is important to be aware of the risks associated with using primary sales credit cards. One risk is that the interest rates on these cards can be very high. Another risk is that the cardholder may be liable for the full balance of their account, even if the merchant goes out of business.

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Answer:

m = 12

Step-by-step explanation:

[tex]\frac{m+18}{m}[/tex]=[tex]\frac{5}{2}[/tex]

2(m+18) = 5(m)

2m + 36 = 5m

2m - 5m = -36

-3m = -36

m = 12

Answer:

Step-by-step explanation:

(m + 18) / m = 5/2

Do you know what cross multiplication is for a proportion? It means that you take the top of one fraction and multiply it by the bottom of the other fraction.

So for this question

5 (top right) * m (bottom left)

and put an equal sign

5*m =

Now take the top left and multiply by the bottom right.

2 * (m + 18)

Now equate the two results.

5m = 2*(m + 18)          Remove the brackets.

5*m = 2*m + 2*18       Combine the right.

5m = 2m + 36             Subtract 2m from both sides.

5m-2m=2m-2m+36    Combine

3m = 36                       Divide both sides by 3

3m/3 = 36/3

m = 12

Answer:

A

Step-by-step explanation:

Between 4 and 5 where the vertex is. The axis of symmetry is a line going through the vertex. For a while it will be of the form x = a

In this case, the axis of symmetry is x = 4.5

Answer:

y = -3 or (0,-3)

Step-by-step explanation:

y intercept is when x is 0 so substitute 0 for x:

y=-6(0)-3=0-3=-3

y = -3

In order to find the y intercept you must substitute 0 for x and solve for y, and also simplify if needed.

[tex]y=-6x-3[/tex]

[tex]y=-6\times0-3[/tex]

[tex]-6\times0-3[/tex]

[tex]y=0-3[/tex]

[tex]-6\times 0 = 0[/tex]

[tex]0-3=-3[/tex]

[tex]= -3[/tex]

[tex]y = (0,-3)[/tex]

Therefore your answer is " y = (0,-3)."

Hope this helps.

Answer:

20

Step-by-step explanation:

24/3=8

36/3=12

8+12=20

he'll have 20 3' ropes

Answer:

=42

Step-by-step explanation:

The expression 8×7×9×49×3 can be written in its simplest factor form as follows.

8=2³

49=7²

9=3²

Thus the expression becomes:2³×7×3²×7²×3

Combine the indices to the same base.

2³×3³×7³

Finding the cube root involves dividing the index by three.

Thus ∛(2³×3³×7³)= 2×3×7

=42

Answer:division property of equality

Step-by-step explanation: Because 0.36x divided by 0.36 is 1x. -1.8 divided by 0.36 is -5. Couuld you give me brainleist

Answer:

Division Property of Equality

Step-by-step explanation:

Addition Property of Equality :

a = b ⇒ a + c = b + c

Subtraction Property of Equality

a = b ⇒ a - c = b - c

Multiplication Property of Equality :

a = b ⇒ ca = cb,

Division Property of Equality :

[tex]a=b\implies \frac{a}{c}=\frac{b}{c}[/tex],

Here, the given equation is,

0.36x=-1.8,

For finding the value of x we need to isolate x,

For this we must divide both sides by 0.36,

That is, we were applied 'Division Property of Equality'.

Answer:

10rs

Step-by-step explanation:

C.P. - 120  

S.P. - 130  

cp < sp  

120 < 130  

so , profit = sp - cp  

= 130-120  

= 10 rs.

Profit=10rs

please mark me brainiest

Answer:

9 cm

Step-by-step explanation:

Find the area of the 1st triangle

A=1/2 b*h

1/2 3*3

1/2 9

4.5

Find the area of the 2nd triangle

A=1/2 b*h

1/2 3*3

1/2 9

4.5

Both triangles have an area of 4.5

To find the area of the parallelogram you have to add the area of the triangles

4.5+4.5=9

A= 9 cm

Answer:

y = 6 (pieces)

Step-by-step explanation:

y = (48 inches) / (8 inches per piece) = 6 pieces.

y = 6 (pieces)

Jerry will have to grow 24 more inches in order to reach his max Hight of 72 inches. If you put this into a inequality it would be 48 plus a number is greater that or equal to 72.

48+X_>72

Answer:

1.25

Step-by-step explanation:

Calculate the scale factor as the ratio of corresponding sides of the image to the original.

here the corresponding sides are

image = 5 and original = 4

scale factor = [tex]\frac{5}{4}[/tex] = 1.25

Answer:

The distance would be 4 units and you would go 4 to the right

I hope this helps :)

Step-by-step explanation:

Answer: First option

Step-by-step explanation:

The distance between two points is calculated using the following formula

[tex]d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

In this case we have the following points

W(0, 8) and X(0, 12)

Therefore

[tex]x_1 = 0\\x_2 = 0\\y_1=8\\y_2=12[/tex]

[tex]d=\sqrt{(0-0)^2 +(12-8)^2}[/tex]

[tex]d=\sqrt{(12-8)^2}[/tex]

[tex]d=\sqrt{(4)^2}[/tex]

[tex]d=4[/tex]

Answer:

The inequality is  [tex]6x+4,885.78\leq 9,750.05[/tex]

[tex]x\leq 810.71\ gal[/tex]

Step-by-step explanation:

Let

x -----> amount of water that can be used by only one family member for the rest of the month

we know that

[tex]6x+4,885.78\leq 9,750.05[/tex]

Solve for x

Subtract 4,885.78 both sides

[tex]6x\leq 9,750.05-4,885.78[/tex]

[tex]6x\leq 4,864.27[/tex]

Divide by 6 both sides

[tex]x\leq 4,864.27/6[/tex]

[tex]x\leq 810.71\ gal[/tex]

Answer:

Each member can use, x = 810.71 gallons of water for the remaining month.

The equation is 6x + 4885.78 [tex]\leq[/tex] 9750.05

Step-by-step explanation:

Total number of members in Green's family = 6

Let one member uses = x gallons of water

Therefore six member will use = 6x gallons of water

Given the Green's family can use only 9750.05 gallons of water in one month. And they have use so far 4885.78 gallons of water.

Therefore the equation becomes

6x + 4885.78 [tex]\leq[/tex] 9750.05

6x [tex]\leq[/tex] 9750.05 - 4885.78

6x [tex]\leq[/tex] 4864.27

x [tex]\leq[/tex] 4864.27 / 6

x [tex]\leq[/tex] 810.71 gallons

Hence, the equation is 6x + 4885.78 [tex]\leq[/tex] 9750.05

and each member can use 810.71 gallons of water for the remaining days of the month.

Step-by-step explanation:

For a trinomial ax² + bx + c = 0, the discriminant is b² − 4ac.

If the discriminant is positive, there are 2 real solutions.

If the discriminant is 0, there is 1 real solution.

If the discriminant is negative, there are no real solutions.

a) x² − 4x − 7 = 0

Here, a = 1, b = -4, and c = -7.

b² − 4ac = (-4)² − 4(1)(-7) = 44

The discriminant is positive, so there are 2 real solutions.

b) 4r² + 11r − 3 = 0

Here, a = 4, b = 11, and c = -3.

b² − 4ac = (4)² − 4(11)(-3) = 148

The discriminant is positive, so there are 2 real solutions.

c) 3m² + 7 = 0

Here, a = 3, b = 0, and c = 7.

b² − 4ac = (0)² − 4(3)(7) = -84

The discriminant is negative, so there are no real solutions.

d) t² + 2t + 1 = 0

Here, a = 1, b = 2, and c = 1.

b² − 4ac = (2)² − 4(1)(1) = 0

The discriminant is zero, so there is 1 real solution.

The term STR is not sufficiently defined in the question. It could represent a mathematical concept, an angle in geometry, or a term in physics or engineering. Without any context, it's not possible to give a precise answer.

It appears that there is some confusion in your question, as the term STR is not sufficiently defined. In general, STR could refer to a mathematical concept, a geometric angle, or a term in engineering. However, without context, it's challenging to provide a correct answer.

If STR represents 'Stress', 'Tensile Ratio', or 'Tensile Strength Ratio' in an engineering sense, it would refer to a measure of deformation due to tension. If STR stands for an angle in a triangle, it would need the triangle's full details to be calculated properly. It would be more beneficial if you could provide added context, so I could give you a more accurate response.

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Answer: 16 units

Step-by-step explanation:

Answer:

10 hours.

Step-by-step explanation:

2 cartoon strips takes 5 hours

divide 5 by 2 to give us how much time is used for 1 strip

5/2 = 2.5 which is equal to 1 strip

Now the question is asking you how much will time for 4 strips?

Take 4 and multiply it by 2.5

4x2.5 = 10

Caroline sketches at a rate of 2 strips in 5 hours, so to sketch 4 strips, which is twice as many, it will take her twice the time, resulting in 10 hours.

To calculate how long it will take Caroline to sketch 4 cartoon strips, we first determine her rate of sketching, which is 2 strips in 5 hours. Therefore, her rate is 2/5 strips per hour. To find out how long it takes to sketch 4 strips, we can set up a proportion where the number of strips is directly proportional to the hours spent. Since she sketched 2 strips in 5 hours, sketching 4 strips will be twice the amount of strips, thus it should take her twice the time, hence 5 hours times 2. Therefore, Caroline will take 10 hours to sketch 4 strips.

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