49q²-70q+25 resolve into fractors​

Answers

Answer 1

Answer:

(7q-5)²

Step-by-step explanation:

= 49q² - 70q + 25

= 49q² -35q -35q + 25

= 7q(7q-5) - 5(7q - 5)

= (7q-5) (7q-5)

= (7q-5)²

CMIIW

Answer 2

Answer:

Step-by-step explanation:

49q² -70q +25 , rewrite the first two terms as squares

(7q)² -70q + 5² , compare with  a² - 2ab + b² = (a-b)²

   

    a² - 2ab + b²

(7q)² -2(7q)(5 )+ 5², because 70q = 2*35q = 2*7*5*q

We can see that a = 7q and b=5, therefore

49q² -70q +25 = (7q -5)²

We set the equation equal to 0 to find the roots

7q-5 =0, add 5 to both sides

7q =5 , divide both sides by 7

q = 5/7 ≈ 0.714


Related Questions

(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:

Answers

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

(a)/(2a)+(4)/(3a^(2)) ayuda por favor

Answers

Answer:

3a^2+8/6a^2

Step-by-step explanation:

there ya go hope this helps

The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 6 and the denominator is decreased by 5, the new rational number obtained is 3/2. Find the original rational number.

Answers

Answer:

6/13

Step-by-step explanation:

6    +   6    =    12            3

----                    ----    =    ---

13     -   5    =     8            2

Answer:

Original Rational number is = 6/13

Step-by-step explanation:

Let Numerator be : x

Denominator be : x + 7

Now,

Numerator is increased by 6Denominator is decreased by 5the new rational number obtained is 3/2

Numerator = x + 6

Denominator = ( x + 7) - 5

According to the question,

[tex] \displaystyle \: \sf \dashrightarrow \: \frac{x + 6}{(x + 7) \: - 5} = \: \frac{3}{2} [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2(x + 6) \: = 3 \{ \: (x + 7 ) - 5\} \: [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x \: + 12 \: = \: 3(x + 2)[/tex]

[tex]\displaystyle \: \sf \dashrightarrow2x + 12 \: = 3x + 6[/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x - 3x \: = \: 6 - 12[/tex]

[tex] \: \: \: \displaystyle \: \sf \dashrightarrow \: - x \: = - 6 \\ \\ \: \: \: \: \: \: \displaystyle \: \bf \dashrightarrow \: x \: = 6[/tex]

Numerator = 6

Denominator = x + 7

= 6 + 7

= 13

Thus ,

[tex]\: \bf { \red{ \underline{\dashrightarrow \: obtained \: rational \: number \: = \: \frac{6}{13} }}}[/tex]

[tex] \pink{\rule{160pt}{5pt}}[/tex]

9
. 10
11
12
Yesterday, Jessica had 95 baseball cards. Today, she got d more. Using d, write an expression for the total number of baseball cards she has now.
ローロ

Answers

Answer:

95+d

Step-by-step explanation:

Share £18 into the ratio 1:5

Answers

Ratio= 1:5
Total parts = 1+5 = 6

1/6 * 18 = £3
5/6 * 18 = £15

Law of indices a×10⁰×a​

Answers

Step-by-step explanation:

a×10⁰×a

Since, m⁰=1 therefore

a×1×a

a × 10⁰ × a = a × 1 × a = a × a =

What have you discovered regarding data representation methods? What's the difference between qualitative and quantitative data?

For data and probability

Answers

Step-by-step explanation:

Qualitative data are discrete, for instance, "Yes/No" type questions. They are usually presented in bar charts or pie charts to show the portion of different populations with certain characteristics in a single experiement (e.g. Not allergic to ginger VS allergic to ginger).

Qualitative data are usually continuous, and can show a trend or distribution numerically. They are usually presented by, for instance, line charts (e.g. Distribution of resident age in block E)

Find the measures of the indicated angles pictures included!!!

Answers

Answer:

25

Step-by-step explanation:

The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.

Lol help me :0

Company Employees attended a year end banquet. 43of the quests ordered chicken, while 12 more of them ordered steak and 9 fewer ordered seafood. How many quests attended the banquet?

I did 43+12-9 which = 46
But tbh I think i might be completely wrong. This is for Algebra 2 so why would a teacher give me this easy of a question. I'm also just thinking not to smart LOL please help

Answers

Answer:

58

Step-by-step explanation:

only 3 people ordered seafood so u add 43 12 and 3

SORRY IF I AM WRONG

Please help! You don’t have to explain how you got the answer! Tysm.

Answers

1.) .777777778
2.) .8
3.) .6
4.) .285714286
5.) .15

Select the correct answer.
A vegetable farmer fills of a wooden crate with 1 of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?
A. 2 pounds
B. of a pound
c 11 pounds
D. 14 of a pound

Answers

I think the answer is A, i’m not sure about that

If 3x = y -5 and x = 4, then y =

Answers

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

Damon works 32 hours per week and earns $10.75 per hour.

a. Estimate his weekly earnings. Explain how you determined

your estimate.

b. Find the exact amount he earns per week.

c. Is your answer reasonable based on your estimate? Explain.

u will be awarded brainlest if u answer this correctly.

Answers

A 340
B 10.75 times 32 is 344$
C they are both close

Just got back to class after summer, brain needs some refreshing.

Answers

The domain is the x-values used by the graph.
The range is the y-values used by the graph.

With respect to the x-axis, the graph starts at 0 on the left and goes as far as x=15.
With respect to the y-axis, the graph starts as low as 0 (vertically) and goes as high as 75.

The range is 0≤x≤15.
The domain is 0≤y≤75.

how many seconds are in 5 hours abs 30 minutes

Answers

Answer:

19800 seconds

Step-by-step explanation:

Which of the following points lies on the line 2x+y=6? 1. (1.4) 2.(0,6) 3. (2,0) A. I only B. 2 only C. 3 only D. 1 and 2 only E. 2 and 3 only​

Answers

Your answer is D. 1 and 2 only

Find the location of K

Answers

Answer:

-2

Step-by-step explanation:

Is 28 an integer, rational, or an irrational number?

Answers

Answer:

integer

Step-by-step explanation:

please give brainliest

Answer:

28 is an integer and a rational number because it is a whole number and it is positive. if there is only one choice, choose rational.

Step-by-step explanation:

hope this helps!

Somebody help me?
I’ve been stuck on the same question for days now

Answers

Answer:

7

Step-by-step explanation:

You've said that both triangle are equal.

This means, both are in proportion

Let the unknown side be x

4 : 5 : x = 36 : 45 : 63

Divide LHS by 9

4 : 5 : x = 4 : 5 : 7

Since you may see x and 7 are same. So, the missing side is 7.

Answer:

Step-by-step explanation:

[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]                      #1 Find same sides  

So, [tex]\frac{4}{36} =\frac{BC}{63}[/tex]                 #2 fill it in.

36BC= 252                 #3 Cross multiply.

[tex]\frac{36BC}{36}[/tex]= [tex]\frac{252}{36}[/tex]                      #4 Divide by 36

BC= 7                           #5 Here's your answer!

If you want to check, plug the sides in.

[tex]\frac{4}{36} =\frac{5}{45} =\frac{7}{36}[/tex]

[tex]\frac{1}{9} =\frac{1}{9} =\frac{1}{9}[/tex]

The siplified fractions should all equal the same number. If they do, the triangles are similar.

Hope this helps!

Plz mark me the Brainliest!

Good Luck!

A cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz. Determine the compound inequality solution that describes the acceptable weights for a 20 oz box.

Answers

I hope it helps you

An compound inequality that describes the acceptable weights for a 20 oz box is 19.25 ≤ x ≤ 20.75.

What is an absolute value?

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To determine the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

We are Given that, cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz.

Let the weight of cereal box be; w

Now, the inequality is

20-0.75 ≤ x ≤ 20+0.75

Add 20 on both sides of an inequality, we get

19.25 ≤ x ≤ 20.75

Here, 19.25 ≤ x ≤ 20.75

Therefore, an absolute value inequality to find the range of acceptable weights is 19.25 ≤ x ≤ 20.75.

To learn more about an absolute value visit:

brainly.com/question/1301718.

#SPJ2

P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.

Answers

   If the points P, Q, V and K are collinear, they will follow the segment addition postulate.

Measure of segment VP will be 214 units.

   It's given in the question,

P, Q, V and K are collinear.VP = 14x + 4PK = x + 630VQ = 17x + 6KQ = 11x + 5

By segment addition postulate,

            KQ + VQ + VP = KP

Substitute the values in the expression,

(11x + 5) + (17x + 6) + (14x + 4) = x + 630

(11x + 17x + 14x) + (5 + 6 + 4) = x + 630

42x + 15 = x + 630

42x - x = 630 - 15

41x = 615

x = [tex]\frac{615}{41}[/tex]

x = 15

Therefore, measure of VP = (14x + 4)

                                           = 14(15) + 4

                                          = 214 units

Measure of segment VP will be 214 units.

Learn more,

https://brainly.com/question/628239

help !!!! what is the m and b ?????

Answers

Answer:

m is the slope and b is the y intercept

Step-by-step explanation:

A copy machine makes 44 copies per minute. How long does it take to make 187 copies

Answers

It will take 4 minutes and 15 seconds, to make 187
187 / 44 = 4.25
60 seconds per minute / .25 (4) = 15 seconds
So, 4 minutes and 15 seconds (4.25 minutes) is how long it will take to make 187 copies

is -15 an integer and rational number?​

Answers

Answer:

I guess it would help you

i hope this helps i’m not to sure if it is a integer or a rational number

Find the missing number so that the equation has no solutions.
x–10=

2x–15

Answers

Answer:

X=-5/3

Step-by-step explanation:

2x^2-y if x=3 and y=8

Answers

Answer:

= 10

Step-by-step explanation:

x = 3

y = 8

just replace that x and y with the values given

[tex]2x^{2}[/tex] - y

2 ([tex]3^{2}[/tex]) - 8

2 (9) -8

18 - 8

= 10

The answer is 10
Because of PAMDAS you do 3 to the second power first which equals 9. 9x2 is 18. And then 18 - 8 = 10. In all, You just plug x and y in and then solve by PAMDAS.

This is confusing and makes no sense

Answers

Answer:

A is the answer

rrrrrrrr

10 divide 6.0 please

Answers

Answer:

1.6667

Step-by-step explanation:

It took awhile to get this

Yea also all of this

Answers

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

definition of a quadratic function

Answers

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Step-by-step explanation:

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

Step-by-step explanation:

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