solve the following the unknown -3(×+1)-2=4×-5(×-3)​

Answer:

[tex]x=\pm \sqrt{11} \\y=-4.[/tex]

Step-by-step explanation:

[tex]\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \: 2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.[/tex]

Answer:

hey mate

the question is not understandable

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

Answer:

Step-by-step explanation:

Because 3x10=30 and 31 is greater than 30 by 1 more.

It's not. 3 times 10 is 30.

30<31

Answer:

not really sure

but I'll try for you

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)

Answer:

Escribí esto, así que espero que quede claro.

Step-by-step explanation:

Maybe 256x square 8

Answer:

Step-by-step explanation:

B is correct answer

Answer:

tn=t¹+d(n-1)

Step-by-step explanation:

d=common difference

t¹=1st term

n= the nth term

Answer:

Step-by-step explanation:

Sequence, so easiest way is difference between any 2 consecutive numbers

Neg 3 to 2, difference is 5

2 to 7, difference is 5

7 to 12 , difference is 5

So sequence result for n

= starting point + (n-1)(5)

Eg 2nd, N= 2

Starting point is neg 3

Sequence = -3 + 2-1 (5) = -3 + 5 = 2

9th, n = 9

-3 + 8(5)

-3 + 40

37

Answer:

cosθ = sinθ/tanθ

Step-by-step explanation:

tanθ = sinθ/cosθ (Given)

cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)

cosθ = sinθ/tanθ (Divided tanθ on both sides)

Answer:

48 in³

Step-by-step explanation:

the volume = ½×3×4 × 8 = 48 in³

Answer:

A -  y = cos(x-1)

Step-by-step explanation:

This is what it looks like when you graph y = cos(x-1). It matches the graph on your question exactly, this graph is just using trig concepts.

Please give me brainliest if my answer was right. :)

Answer:

Angle F

Step-by-step explanation:

=====================================================

Explanation:

We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.

In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.

Answer:

35,691

Step-by-step explanation:

First step, look at the diagram and you see that you have a sphere and a cone.

The total surface area of a sphere is

[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]

Since you only have half of a sphere, the surface area is 9,556.5

The surface area of the cone is

[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]

You don't need the bottom of the cone however as it is connected to the half sphere.

So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800

The area of the circle is 4,778

Answer:

Step-by-step explanation:

Answer:

$72.00

Step-by-step explanation:

Amount of discounted money

= 10/100 x $80.00

= $8

Amount he will pay

= $80.00 - $8.00

= $72.00

Given:

The table of value and y is inversely proportional to square of x.

To find:

The value of c and d.

Solution:

It is given that y is inversely proportional to square of x. So,

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=k\dfrac{1}{x^2}[/tex]               ...(i)

Where, k is the contant of proportionality.

From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get

[tex]4=k\dfrac{1}{3^2}[/tex]

[tex]4=\dfrac{k}{9}[/tex]

[tex]4\times 9=k[/tex]

[tex]36=k[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]y=36\dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{36}{x^2}[/tex]             ...(ii)

Putting [tex]x=5,y=c[/tex] in (ii), we get

[tex]c=\dfrac{36}{(5)^2}[/tex]

[tex]c=\dfrac{36}{25}[/tex]

Putting [tex]x=d,y=2[/tex] in (ii), we get

[tex]2=\dfrac{36}{d^2}[/tex]

[tex]d^2=\dfrac{36}{2}[/tex]

[tex]d^2=18[/tex]

Taking square root on both sides, we get

[tex]d=\pm \sqrt{18}[/tex]

[tex]d=\pm 3\sqrt{2}[/tex]

Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].

Answer:

8.238

Step-by-step explanation:

it might not be right, but it was not fast either XDDD

dang, i took to long to tell u

:)

Answer: 105

Step-by-step explanation:

Given

The ratio of men to women working for a company is 4:7

There are total of 165 employees

Suppose, there is  4x men and 7x women such that the ratio remains constant

[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]

[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]

Jenny rolled 1/18

Answer:

D. 1/18

Answer:

your answer is y=-8 for sure

Answer:

1. The theoretical probability of rolling an even number and flipping heads is 25%.

2. The experimental probability of rolling a 1 and flipping tails is 15%.

3. The experimental probability of flipping heads is 40%.

4. I think around 7%.

5. I would expect to roll 3 and land on heads 8 times.

Step-by-step explanation:

I am not sure about number 4.

Have a nice day!

Ask me if you need my work. :-)

Answer:

A. y = -(x + 5)^2 + 4

Step-by-step explanation:

After a small online search, I've found that the options are:

A. y = -(x + 5)^2 + 4

B. y = -(x - 5)^2 + 4

C. y = -(x + 5)^2 - 4

D. y = -(x - 5)^2 - 4

For a quadratic equation with a vertex at the point (h, k) is written as:

y = a*(x - h)^2 + k

Where a is the leading coefficient.

So, if here we have the vertex at (-5, 4)

y = a*(x - (-5))^2 + 4

y = a(x + 5)^2 + 4

Then the correct option is the first one, where a = -1, then the correct option is A.

Answer:

2.03% Rate of Population Growth.

Step-by-step explanation:

According to the Question,

Given, In 2006 the population was 1148 and in 2014 the population was 1348.

2006⇒2014  (8 Years)

So, [tex]1148 * (1+\frac{x}{100} )^{8} = 1348[/tex]

[tex](1+\frac{x}{100} ) = \sqrt[8]{1.1742}[/tex]

(1 + x/100) = 1.0202

x/100 = 0.020276

x = 2.03% Rate of Population Growth

Answer:

x = 105

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal if the lines are parallel

x = 105

Answer:

105°

Step-by-step explanation:

The angles are corresponding therefore they are equal

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; However, one can deduce from the options that the question refers to percentage change.

I will give two illustrations that shows how to calculate percentage change.

Illustration 1

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$55[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{10}{45} * 100\%[/tex]

[tex]\%Change = \frac{1000}{45} \%[/tex]

[tex]\%Change = 22.22\%[/tex]

This means there is a 22.22% increase

Illustration 2

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$35[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{-10}{45} * 100\%[/tex]

[tex]\%Change = -\frac{1000}{45} \%[/tex]

[tex]\%Change = -22.22\%[/tex]

The negative sign indicates percentage decrease

So, this means there is a 22.22% decrease

Answer:

23

Step-by-step explanation:

I DID 7*3+2 & GOT 23

Answer:

9°

Step-by-step explanation:

m / sin L M = o / sin L O

41/sin L M = 98/sin 22°

=> sin L M = 41×sin 22°/98

= 41×0,3746 / 98

= 0,1567

so, L M = sin~¹ 0,1567 = 9°