15 points!!!
4x^2 -20x +25≥0​

Answers

Answer 1

Answer:

x ≥ [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given equation:

     4x² -20x + 25≥0​

To solve for x, we simply factorize the equation;

We should find two numbers whose sum = -20 and product is 100

  These two numbers are -10 and -10

So;

    4x² - 10x - 10x + 25 ≥ 0​

   factorize;

    2x(2x - 5) - 5(2x - 5) ≥ 0​

   (2x - 5) (2x - 5) ≥ 0​

    So;

        2x - 5 ≥ 0​

         2x ≥ 5

            x ≥ [tex]\frac{5}{2}[/tex]


Related Questions

Solve the following equations
X + 6 = 25

Answers

Answer:

x=19

Step-by-step explanation:

x=25-6

x=19

Answer:

x=19

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

x+6−6=25−6

x=19

14. Craig jogs 12 km in 1 h. If he jogs at the
same rate, how long will it take him to jog
18 km?

Answers

Answer: 1:30 (one hour and thirty minutes)

Step-by-step explanation:

If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.

Answer:

1.5 hours

Step-by-step explanation:

12/1 = 18/x

X = 18/12 = 1.5 hours

Nestor works at a garden center where he posts plants. It takes him 2 1/2 hours to pot 15 plants. How many plants can Nestor pot in 1 hour? * how many plants can he pot in 1 hour?

Answers

Answer:

Nestor can pot 6 plants in 1 hour.

Step-by-step explanation:

first lets convert 2 1/2 hours in mixed fraction form for better calculation

2 1/2 hours = (2*2 + 1)/2 = 5/2 hours

no of plants pot in  5/2 hours = 15

to find no. of plants pot in 1 hours lets

divide both side by 5/2

no of plants pot in  5/2/(5/2)  hours = 15/(5/2) = 15*2/5 = 6

no. of plants pot in 1 hour = 6

Thus, Nestor can pot 6 plants in 1 hour.

What is the area of this figure?
13 in
6 in
8 in
s in
5 in
17 in
10 in
Write your answers using decimals, If necessary.

Answers

Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

There are (64)2 ⋅ 60 pigs on a farm. What is the total number of pigs on the farm?

Answers

I’m bot sure if you ask 64^2 x 60 or 64 x 2 x 60. If you ask the first one, the answer is 245760. But if you ask the second one, the answer is 7680.

Answer:

If the question is (64)2 x 60, then the answer is 7,200

Step-by-step explanation:

not really an academic subject lol just a stoopid inquiry
.
.
does anyone else stay up super late even if they're tired? like you haven't "completed" your day yet. just me?... TT_TT pls help

(my sleep schedule is very messed up) :,)

Answers

Answer:

Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol

Step-by-step explanation:

Two negative consecutive integers have a sum of -39. What are the
integers?

Answers

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

need it by 10 please .

Answers

Answer:thats tuff

Step-by-step explanation:

Study, thank you for tuning in my Ted talk.

how do you solve X+17=-12​

Answers

Answer:

Subtract 17 from -12, you sould get x= -29

Step-by-step explanation:

Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is ​

Answers

Given:

Four years ago average age of A , B & C was 25 years.

Find:

A's present age

Solution:

Let the ages of A , B , C be A , B , C years.

Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.

We know that,

Average = Sum of observations/Number of observations.

Here,

Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.

Number of observations = 3.

So, (A + B + C - 12)/3 = 25

⟹ A + B + C - 12 = 3 * 25

⟹ A + B + C = 75 + 12

⟹ A + B + C = 87 -- equation (1)

Also given that,

Average age of B & C before 5 years was 20 years.

⟹ (B - 5 + C - 5)/2 = 20

⟹ B + C - 10 = 2 * 20

⟹ B + C = 40 + 10

⟹ B + C = 50 -- equation (2)

Subtract equation (2) from equation (1).

⟹ A + B + C - (B + C) = 87 - 50

⟹ A + B + C - B - C = 37

⟹ A = 37 years

∴ A's present age is 37 years.

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

What are the following properties:
4k−3−2k=2k+5−2k

2k−3=5

2k−3+3=5+3

2k=8

2k2=82

k=4

Answers

Answer:

k4-3+3=10k

Step-by-step explanation:

Answer:

4k-3+3=10k

Step-by-step explanation:

4k-3+3=10k

Is the airplane’s altitude a function of time?

Answers

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

Can someone please help

Answers

Answer:

( -1 , 0.5)

Step-by-step explanation:

bailey ran 0.674 times aound her school track. what percentage of the track did she run around?

f: 0.0674%
G: 6.74%
H:64.4%
j: 674%

Answers

Answer:

0.674 as a percent. 0.674 is equivalent to 67.4%.

Hope this helps!

Urvi solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. StartFraction 14 divided by StartFraction 2 Over 7 EndFraction. StartFraction 1 Over 14 EndFraction times StartFraction 2 Over 7 EndFraction = StartFraction 2 Over 98 EndFraction or StartFraction 1 Over 49 EndFraction Which is the most accurate description of Urvi's work? Urvi solved the problem correctly. Urvi multiplied the dividend by the divisor instead of finding the reciprocal. Urvi multiplied the denominators instead of finding a common denominator. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Answers

Given:

The equation is

[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]

To find:

The correct description of Urvi's work.

Solution:

We have,

[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]

Using the rule "multiply by the reciprocal", we get

[tex]\dfrac{14}{\dfrac{2}{7}}=14\times \dfrac{7}{2}[/tex]

[tex]\dfrac{14}{\dfrac{2}{7}}=\dfrac{98}{2}[/tex]

[tex]\dfrac{14}{\dfrac{2}{7}}=49[/tex]

Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

Please I need some answers

Answers

Answer:

[tex]\sqrt{169}[/tex] = 13

[tex]\sqrt{36}[/tex] = 6

[tex]\sqrt{196}[/tex] = 14

Step-by-step explanation:

answer:

a) [tex]\sqrt{169}=13[/tex]

b) [tex]\sqrt{36}=6[/tex]

c) [tex]\sqrt{196}=14[/tex]

hope this helps :)  

-audrey <3

Click through and select the graph that correctly shows the following points:

X(-2, 0), Y(3, -5), and Z(0, 3).

Answers

Answer:

The second graph

Step-by-step explanation:

each of the points you listed are graphed on there.

Answer:

the answer is graph number 2

it has X(-2, 0), Y(3, -5), and Z(0, 3) points on it !

wich expression is equivelint-3/4 divided by -8/12

Answers

Answer:

-1 1/8

Step-by-step explanation:

-3/4 / -8/12

= -3/4 * -12/8

= -3*12 / -4*8

= -36/32

= -1 4/32

= -1 1/8

AT&T charges $350 to get a plan with them, plus $60 per month. T-Mobile charges a $275 initial fee, plus $80 per month. Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Answers

Given :

AT&T charges $350 to get a plan with them, plus $60 per month.

T-Mobile charges a $275 initial fee, plus $80 per month.

To Find :

Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Solution :

Money-time relation of plan AT&T :

[tex]M_1 = 60x + 350[/tex]

Money-time relation of plan T-Mobile :

[tex]M_2 = 80y + 275[/tex]

( Here, x and y are number of months )

Let, after t months would take for T-Mobile to cost the same or more than AT&T.

So, [tex]M_2\ge M_1[/tex]

[tex]80t+275 \ge 60t + 350\\\\20t \ge 350 - 275\\\\20t \ge 75\\\\t \ge 3.75[/tex]

Hence, this is the required solution.

Write the linear equation in slope intercept form y-2=1/2(x+4)

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

Point-slope form; y - 2 = 1/2(x + 4)

Step 2: Rewrite

Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4

Answer:

y=1/2x+4

Step-by-step explanation:

y-2=1/2(x+4)

(distribute the 1/2)

y-2=1/2x+2

(add 2 to both sides)

y=1/2x+4

A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?​

Answers

Answer:

-1

So the answer would be (-1, 2)

Hopefully, this is correct, sorry if not.

sashi weaves 25 baskets in 35 days how many days will it take for her to weave 110 baskets pls tell with steps

Answers

Answer:

Step-by-step explanation:

If Sashi weaves 25 baskets in 35 days, let's find out how long it takes her to weave 1 basket.

25 baskets = 35 days

To find how long one basket takes, divide 35 by 25

1 basket = 35/25 = 1.4 days

Next to find how many days it takes for her to weave 110, you just multiply by 110 since we know it takes her 1.4 days to weave 1 basket.

110 baskets = 1.4 times 110 = 154 days.

14.) George is designing a pool that will be 34 feet long. He plans to make
a scale drawing of the pool by letting 1/4 inch represent 1 foot. How long
should the line representing the length of the pool in the diagram be?

Answers

Answer:

I believe the answer is 8.5 inches long

Step-by-step explanation:

we have to find out how long 1/4 × 34 is, since each 1/4 represents one of the 34 feet of the pools length.

34×.25 = 8.5

Find the square root.

±√1.69 = ____ and ____

Answers

Answer:

             ±√1.69 = +1.3 and -1.3

Step-by-step explanation:

√169 = 13

square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)

so √1.69 = 1.3

27x + 18y + 30 Lol pls help I’m gonna fail

Answers

Answer:

[tex]=27x + 18y + 30[/tex] fr it's the real answer

Step-by-step explanation:

hope it helps u won't fail(maybe)

leave a like

and if u can mark brainliest

8c + 20 = -180

c =

can some one help me please

Answers

Answer:

c = -25

Step-by-step explanation:

8c + 120 = -180

Subtract 20 from both sides.

8c = -200

Divide both sides by 8.

c = -25

Answer:

C = -25

Step-by-step explanation:

Start by getting C alone, subtract 20 from the left side of the equal sign and subtract 20 from the right. (what you do on one side you MUST do to the other) this gives you 8c= -200. Divide 8 from 8c on the right side and divide 8 from -200 on the left side. This will give you c= -25

Pls help me!!!!!!!!!!!

Answers

Answer:

1) y-4+1(x-5)

Step-by-step explanation:

With point-slope form, you just have to substitue the information that is given to you into the generic formula.

y-y1= m(x-x1)

so the y1 is the y value of the point that is given to you and x1 is the x value of the point that is given to you

m is the slope (also given)

and x and y just stay the same; x &y

Please help! I'm in a hurry.

Answers

Answer:

13

Step-by-step explanation:

15 and 13 have the same angle because they are opposit each other on the intersection of both lines.

The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

Answers

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation:

Pls help ASAP!
Consider this linear function:
Y= 1/2x + 1
Plot all ordered pairs for the values in the domain.
D: { -8,-4,0,2,6}

Answers

so for these type of equations your domain is your x. so you will use substitution to find your y value.
y=1/2x+1, so for this one we will replace x with -8. so y=1/2(-8)+1= -4+1=-3
so the first set of coordinates with be (-8,-3)
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