Factor completely 49x2 − 9.

(7x + 3)(7x − 3)
(7x + 3)(x − 3)
(7x − 3)(7x − 3)
(7x − 3)(x − 3)

Answer:

d=−1

Step-by-step explanation:

−3(d−2)−4=5

Step 1: Simplify both sides of the equation.

−3(d−2)−4=5

(−3)(d)+(−3)(−2)+−4=5(Distribute)

−3d+6+−4=5

(−3d)+(6+−4)=5(Combine Like Terms)

−3d+2=5

−3d+2=5

Step 2: Subtract 2 from both sides.

−3d+2−2=5−2

−3d=3

Step 3: Divide both sides by -3.

−3d

−3

=

3

−3

d=−1

[tex]-3(d+(-2))+(-4)=5[/tex]

[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]

3

4

×  

4

5

=  

3

5

Result in decimals: 0.6

Calculation steps:

3

4

×  

4

5

=  

3 × 4

4 × 5

=  

12

20

=  

12 ÷ 4

20 ÷ 4

=  

3

5

Answer:

See solution below

Step-by-step explanation:

The ball will hit the ground at whrn t = 0

Given the height of the ball modeled by the expression

h(t) = -16t^2 + 64

0 =  -16t^2 + 64

16t^2 = 64

t^2 = 64/16

t^2 = 4

t = 2sec

The ball will hit the ground 2secs after

The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}

when t = 2

h (2) = -16(2)^2 + 64

h(2) = -64+64

h(2) = 0

Hence the range are the output values i.e the height.

The range are within the range {0, ∞}

Answer:

.16

Step-by-step explanation:

5 by 30 and you get your answer

Answer:

Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer

Step-by-step explanation:

Sample standard deviation, s = 3.2

Population standard deviation, σ = 2

Defining the Null and alternative hypothesis :

H0 : σ = 2

H1 : σ > 2

The test statistic :

Use the Relation :.

[(n - 1)*s²] ÷ σ²

[(10 - 1) * 3.2²] ÷ 2²

(9 * 10.24) ÷ 4

92.16 ÷ 4

= 23.04

We obtain the Pvalue for the distribution :

Using the Pvalue from Chisquare distribution calculator :

Pvalue(Chisquare score, df)

df = n - 1 = 10 - 1 = 9

Pvalue(23.04, 9) = 0.006107

Decision :

If Pvalue is < α ; Reject H0 ; α = 0.05

0.006107 < 0.05 ; We reject H0

Answer:

No.

Step-by-step explanation:

This only applies to solids like cubes and some prisms.

It does not apply to such solids are cylinders, pyramids, cones and triangular prisms.  It will apply to a prism whose cross-section is a rectangle.

Answer:

with no question asked the answer could be anyone of the options

Step-by-step explanation:

Answer:

Step-by-step explanation:

l/100 km   means   liters per 100 Kilometre. How many liters a car need for traveling 100 km.

Km/l  means  liter per km

Answer:

A)

1.75w−1=8

Step-by-step explanation:

Answer:

See attachment for number line

Step-by-step explanation:

Given

[tex]Ian = \frac{6}{8}[/tex]

[tex]Anna = \frac{3}{4}[/tex]

Required

Number line to represent both amounts

The interval on the number line is 16.

So, we need to calculate the position of both as thus.

[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]

[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]

So, both will be positioned on the 12th position.

The yellow dot represents Anna while the blue dot represents Ian

See attachment for their position on the number line

Answer:

box and whisker

Step-by-step explanation:

Answer:

area of ΔAPQ = 8 units²

Step-by-step explanation:

since the dimensions are 1/3 size, the area scale factor will be 1/9.

72/9 = 8 units²

Answer:

Step-by-step explanation:

A/4=72/12

A=4(72)/12

A=24 u^2

Answer:

lowest accuracy: Table of values:x=-1.5

intermediate accuracy: successive approximate: x=-1.5625

Highest accuracy: Graphing technology: x=1.543

Step-by-step explanation:

i just did this question

Answer:

6.67 yards

Step-by-step explanation:

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?

Please note that:

1 foot = 0.333 yard

20 feet = x yards

Cross Multiply

1 foot × x yards = 20 feet × 0.333 yards

x yards = 20 feet × 0.333 yards/1 foot

x yards = 6.66667 yards

Approximately = 6.67 yards

Therefore, the measurements in yards is 6.67 yards.

Answer:

4/9 will be the probability.

Hope it helps you!!

9514 1404 393

Answer:

  discrete

Step-by-step explanation:

"The number of (anything)" means the possible values are counting numbers. The random variable involved is necessarily discrete.

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

Answer:

14

Step-by-step explanation:

18-18+8+6

0+14

14

hope this helped!

Answer:

Step-by-step explanation:

F = 6

P = 2

Then:

3.(6) - 9.(2) + 8 + 6

18 - 18 + 8 + 6

8 + 6

14

;D

Answer:

y = -2x + 2

Step-by-step explanation:

8 + 4/ -6

= -2

y = -2x + b

8 = -2(-3) + b

8 = 6 + b

2 = b

check work

-4 = -2(3) + 2

-4 = -6 + 2

-4 = -4

it is correct

Answer:

41°

Step-by-step explanation:

the sum of the interior angles is 180 degree

so,

38 + x + 101 = 180

139 +x = 180

x = 180 - 139

x= 41°

Answer:

39

Step-by-step explanation:

Let, total rooms girls booked be x and total rooms girls booked be y.

entire hotel was booked except two rooms.

so, total = 158-2 = 156

x+ y = 156

this is equation 1.

also, girls are using three times more room than boys.

so, y=3x

substituting y=3x in 1st equation,

x+ 3x = 156

or, 4x = 156

or, x= 156/4

x= 39

Answer:

I think it's trapezium .

Answer:

X=4

Step-by-step explanation:

Answer and Step-by-step explanation:

To get x, we need to put everything on the right. We start off by multiplying each side by 3.

3 × [tex](\frac{7+2x}{3} ) =[/tex] 5 × 3

7 + 2x = 15

Now, we subtract 7 from each side.

(7 + 2x) - 7 = 15 - 7

2x = 8

Finally, we divide each side by 2.

2x ÷ 2 = 8 ÷ 2

x = 4

The answer to this equation is x = 4.

I hope this helps!

A thanks and 5 stars + brainliests are appreciated, but I help to help!

#teamtrees #PAW (Plant And Water)

Answer: RI 18,823.14

Step-by-step explanation:

I guess that we want to find the 12.6% of Rl 149,390

First, we assume that Rl 149,390 is the 100%

Then we can write an equation like:

Rl 149,390 = 100%

Then if the amount X is the 12.6%, we also have the equation:

X = 12.6%

Then we have the two equations:

X = 12.6%

Rl 149,390 = 100%

If we take the quotient between these two equations we get:

(X/Rl 149,390) = (12.6%/100%)

Solving this for X we get:

X =  (12.6%/100%)*(Rl 149,390) = RI 18,823.14

Answer:

$420

Step-by-step explanation:

Given data

GIven ratio=  2:3

The total ratio= 2+5= 7

Ann's share= $120

Let us apply the part to all approach

let the total amount be x

so for Ann

2/7= 120/x

cross multiply

2x= 120*7

2x= 840

divide both sides by 2

x= 840/2

x= 420

Hence the amount shared is $420

Answer:25.0

Step-by-step explanation: 5.0 times 5.0

Answer:

7. divide both sides by 18.

8. subtract 4 from both sides.

9. add 3 on both sides.

10. multiply by 6 on both sides

Hope that helps! :3

Step-by-step explanation: