Estimate the product 2.1 x 0.9

Answer:

Step-by-step explanation:

Many ways to do this in the details.

All start by writing three equations with three unknowns

-56 = a(3²) + b(3) + c

-56 = 9a + 3b + c          1)

-16 = a(-1²) + b(-1) + c

-16 = a - b + c               2)

-51  = a(-2²) + b(-2) + c  

-51  = 4a - 2b + c           3)

subtract equation 2 from equation 1

-40 = 8a + 4b

--10 = 2a + b

b = -10 - 2a                 4)

subtract equation 3 from equation 1

-5 = 5a + 5b

-1 = a + b                   5)

substitute 4 into 5

-1 = a + (-10 - 2a)

-1 = - a - 10

a = - 9

substitute a into 4

b = -10 - 2(-9)

b = 8

substitute a and b into any of 1, 2, or 3

-51  = 4(-9) - 2(8) + c

-51  = -36 - 16 + c

c = 1

y = -9x² + 8x + 1

We can use a plotting calculator to confirm our result.

Answer:

The equation has 2 solutions

c = -12

c = 12

Step-by-step explanation:

Swap the sides

c² = 62 = 82

Simplify the equation

c² = 144

separate the solutions

c = ± 12

Solution

c = -12

c = 12

Answer:

35 : w = 1 : 2

obviously w = 70

Step-by-step explanation:

Hopefully this helps you :)

Have a nice day.

apokibunnyavatar

40$ - 100% (full price)

x$ - 70% (100-30=70%)

40 * 70 = 100x

2800 = 100x

x = 28

Answer 28$

or

40$ = 100%

then 1% = 40/100 = 0.4$

so 70% will be 0.4 * 70 = 28$

cuál de los siguientes documentos es más Útil para construir carretera

Answer:

[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

[tex]y = 1 -2x[/tex]

Rearrange into slope-intercept form:

[tex]y = -2x+1[/tex]

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

Plug in the given point (1,3) and solve for b:

[tex]3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}[/tex]

Therefore, the y-intercept is [tex]\displaystyle \frac{5}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2} x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]

I hope this helps!

Answer:

210030

Step-by-step explanation:

You can use a calculator.

Answer:

steps below

Step-by-step explanation:

5¹+5² = 30        30/6 = 5¹

5³+5⁴ = 125 + 625 = 750     750/6 = 125 = 5³

5⁵+5⁶ = 18750         18750/6 = 3125 = 5⁵

...........

(5¹⁹⁹¹+5¹⁹⁹²)/6 = 5¹⁹⁹¹

sum of every couple consecutive multiple of 5 are multiple of 6, the sum

S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 IS multiple of 6

Answer:

let

no of girls be 4x & boys be 3x

or, 3x+4x=28

or, 7x=28

x=28/7=4

hence no of girls = 4x=4*4= 16

Answer:

Six hours

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Use a ratio and cross multiply to solve for x

324       243

------  =  -------

 8            x

324x = (8)(243)

324x = 1944

x = 6

Answer:

The answer is 0.93

Step-by-step explanation:

I took the test

Answer:

B) 40 feet

Step-by-step explanation:

Essentially, there are two similar right triangles in the given problem.

base_L = Base [larger triangle] = 60 ft

base_S = Base [smaller triangle] = 6 ft

x = leg (larger triangle)

y = leg (smaller triangle) = 4 ft

Using the given proportion to solve for the value of x:

[tex]\frac{x}{base_{_L} } = \frac{y}{base_{_S} }[/tex]

[tex]\frac{x}{60ft} = \frac{4 ft}{6 ft}[/tex]

6x = 240

Divide both sides by 6:

6x/6 = 240/6

x = 40

Answer:

(-∞,∞)

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

[tex] \sqrt[3]{x} [/tex]

has the domain all of the real numbers

Answer:

3/6

Step-by-step explanation:

Answer:

0.31 if you get exactly 3 heads or 0.66 probability if you get at least 3 heads, or 50%

Step-by-step explanation:

0.31 is the probability of getting exactly 3 Heads in 6 tossed

0.66 is the probability of getting at least 3 heads

Answer:

how many boxes is the line on

Answer:

12x15=100

Step-by-step explanation:

Its times because I know it

Answer:

B

Step-by-step explanation:

Answer:
Each axis has even spacing.

Each point represents a data pair.

I took the test

Answer:

[tex]n=-\frac{11}{16}[/tex]

Step-by-step explanation:

[tex]5n+\frac{1}{8}=3n-\frac{5}{4}[/tex]

[tex]5n-3n=-\frac{5}{4}-\frac{1}{8}[/tex]

[tex]2n=-\frac{11}{8}[/tex]

[tex]n=-\frac{11}{16}[/tex]

Answer:

Surface area is 1140cm^2

Volume is 1800 cm^3

Step-by-step explanation:

12x5=60x2=120

5x6=30x2=60

20x6=120x8= 960

120

  60

+960

1140

12x20=240x10=2400

5x6=30x20=600

2400-600=1800

Answer: Therefore, your equation of the function will be y = 4x – 4.

Step-by-step explanation:

Answer:

2.33yd or 2 1/3yd

Step-by-step explanation:

7/3=2.33

Because

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

Answer:

Using vector concepts, it is found that:

1. The horizontal component of the vector is 5.

2. The magnitude is of 14.87.

3. The vertical component of the vector is 2.

-------------

A vector (x,y) has x as horizontal component and y as vertical component.

The magnitude is  

Given two points, a vector is formed by the subtraction of the endpoint by the start point.

-------------

Item 1:

The horizontal component of the start is -3.

The horizontal component of the end is 2.

Thus, the horizontal component of the vector is  

-------------

Item 2:

Starts at (1,9), ends at (6,-5), thus, the coordinates are:

The magnitude is:

The magnitude is of 14.87.

-------------

Item 3:

The vertical component of the start is -10.

The vertical component of the end is -8.

Thus, the vertical component of the vector is

Step-by-step explanation:

The statement to be converted is "If Snoopy did not dance a jig, then Charles Schultz wrote a Sonata.

The converse is: If Charles Schultz did not write a Sonata, then Snoopy did dance a jig.

A converse statement is arrived at when you have swapped the hypothesis and the conclusion.

Another example that helps buttress this is given below:

Original Statement: If the car braked, then the driver was sleeping.

Converse Statement: The driver was not sleeping therefore the car did not brake.

See the link below for more about Converse Statements:

https://brainly.com/question/2751386

Answer:

=–25960

Step by step explanation:

=677−525−(51)(512)

=152−(51)(512)

=152−26112

=−25960

Answer:

=–25960

Step by step explanation:

=677−525−51 512

=152−51 512

=152−26112

=25960