Question 10 of 10
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x - 2y=7
3x - 3y=15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by-3 and the bottom equation by 2.
O C. Multiply the top equation by 3 and the bottom equation by 4.

Can someone help me

Answer:

x intercepts = (9,0), (-7,0)

Step-by-step explanation:

First lets expand the factored equation.

f(x) = 3(x + 7) (x - 9)

.... = 3x + 21 (x - 9)

....= 3x^2 - 27x - 21x - 189

....= 3x^2 - 6x - 189

lets make the quation equal to 0 and use the Factorization method to solve for x.

3x^2 - 6x - 189= 0

3(x^2 - 2x - 63) = 0

3(x - 9) (x + 7) = 0

x - 9 = 9 and x + 7 = -7

x = 9,

x = -7

Answer:

a ............,....

Step-by-step explanation:

....

....,,

Answer:

It fifty-eight and eight tenths

Step-by-step explanation:

Answer: fifty-eight and eight tenths

Step-by-step explanation:

Answer:

188 feet

i know that the answer

nasa makatulong po

The volume of a cylinder, in cubic feet, is,

V = 2,034.7 feet³

We have to given that,

In a cylinder,

Height = 8 feet

And, Diameter = 18 feet

Hence, Radius of cylinder is,

r = 18/2

r = 9 feet

We know that,

Volume of cylinder is,

V = πr²h

Substitute all the values, we get;

V = 3.14 × 9² × 8

V = 2,034.7 feet³

Therefore, The volume of a cylinder, in cubic feet, is,

V = 2,034.7 feet³

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see the attached figure

A(4,8)  B(0,7)  C(4,3)

the line of reflection is x=5

the reflection is (x,y)-------------------> (10-x,y)

therefore

A(4,8)-----------------> A1(10-4,8)------> A1(6,8)

B(0,7)-----------------> B1(10-0,7)------> B1(10,7)

C(4,3)-----------------> C1(10-4,3)------> C1(6,3)

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Expand and rewrite both equations to make y the subject:

[tex]\begin{aligned}4(x-2y)-(5x+3y) & =30\\\implies 4x-8y-5x-3y & =30\\4x-5x-8y-3y & =30\\-x-11y & =30\\x+11y & = -30\\ 11y & = -x-30\\ y & = \dfrac{-x-30}{11}\end{aligned}[/tex]

[tex]\begin{aligned}3(3x+7y)-2(x+9y) & = 12\\\implies 9x+21y-2x-18y & = 12 \\9x-2x+21y-18y & = 12\\7x+3y & = 12 \\3y & = -7x+12\\ y & = -\dfrac{7}{3}x+4\end{aligned}[/tex]

Now solve for [tex]x[/tex] by substitution:

[tex]\begin{aligned}y & = y\\\\\implies \dfrac{-x-30}{11} & = -\dfrac{7}{3}x+4\\\\-x-30 & = 11\left(-\dfrac{7}{3}x+4\right)\\\\-x-30 & = -\dfrac{77}{3}x+44\\\\-x+\dfrac{77}{3}x & =44+30\\\\\dfrac{74}{3}x & = 74\\\\74x & = 222\\\\x & = \dfrac{222}{74}\\\\x & =3 \end{aligned}[/tex]

Answer:

Step-by-step explanation:

5x is greater than -20 because if you look at the worst possible solution which is 5(0) it's still larger than -20 because of the number line 0 is greater than -20 so yes 5x is greater than -20

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x + 2

The value of f(n - 4) is given as:

f(n - 4) = n - 4 + 2 = n - 2

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

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Answer:

8

Step-by-step explanation:

5 + 3 = 8

Answer: c= [tex]x^{2}[/tex] +4x-10

Step-by-step explanation:

Step 1: Flip the equation.

C+1= [tex]x^{2}[/tex]+4x-9

Step 2: Add -1 to both sides.

c+1+-1=[tex]x^{2}[/tex]+4x-9+-1

c=[tex]x^{2}[/tex]+4x-10

a) Angles ACB in ∆ABC and ECD in ∆EDC are congruent, since they form a vertical angle pair.

Angles ABC and EDC are clearly congruent, since they are both right angles.

The legs AB and ED are parallel, so angles BAC and DEC are congruent alternating interior angles.

Then ∆ABC is similar to ∆CDE by the angle-angle-angle postulate.

b) Because they're similar, corresponding sides occur in a fixed ratio, which tells us that

CD/BC = ED/AB

p/(5 cm) = (4 cm)/(6 cm)

p = 10/3 cm

Answer:

$5.50

Step-by-step explanation:

I = Prt

Solving :

By solving a little system of equations we will see that the two numbers are 12 and 31.

Let's define the two numbers as a and b.

We know that one of the numbers is 7 more than twice the other, so we have:

a = 2b + 7

We also know that the sum of the two numbers is 43, so we get:

a + b = 43

Replacing the first equation into the second one we get:

2b + 7 + b = 43

3b = 43 - 7 = 36

b = 36/3 = 12

Now that we know b, we can find a:

a = 2*12 + 7 = 31

So the numbers are 12 and 31.

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Answer:

I notice that the size of the watermelons has grown at a steady positive rate over the seven days.

Answer:

$212.55

Step-by-step explanation:

hope it helps and give brainliest

Answer:

173

Step-by-step explanation:

Assume the natural number is x.

x/12 = ... R 5

x/15 = ... R 8

x/18 = ... R 11

Thus, x+7 is divisible by 12, 15 and 18 all together.

The smallest possible number of x+7 can be calculated with prime factorization.

12=2^2 * 3

15=3 * 5

18=2 * 3^2

The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.

Therefore, the smallest possible solution for x is 180 - 7 = 173.

Answer:

pls find given attachment

Answer:

yes its arithmetic, and the common difference is 3

Step-by-step explanation:

-9, -6, -3, 0

-6 - (-9) = 3

-3 - (-6) = 3

0 - (-3) =3

Step-by-step explanation:

when throwing 2 coins, there are 4 equally probable outcomes :

1 head 1 tail

1 tail 1 head

2 heads

2 tails

so, each outcome has a probability of 1/4.

the probability to not get 2 tails is the sum of the probabilities of 3 of these outcomes. so, it is

3/4.

to get 2 tails first at the xth attempt means that it did not happen at all x-1 attempts before.

that probability for that is

(3/4)^(x-1)

and then it happens. the probability for that is 1/4.

so, the total probability for that event is

(3/4)^(x-1) × 1/4 = (3^(x-1)) / (4^x)

so, for x = 7 that gives us a probability of

3⁶ / 4⁷ = 729 / 16384 = 0.044494629...

Answer:

x = 20

y = √3 / 10

Step-by-step explanation:

The cosine ratio gives the ratio between the adjacent side and the hypotenuse.

The sine ratio gives the ratio between the opposite side and the hypotenuse.

Taking cosine ratio to find x :

cos 60° = 10/x

1/2 = 10/x

x = 20

Taking sine ratio to find y :

sin 60° = y/x

√3 / 2 = y/20

y = √3 / 10

Answer:

x= 20 ,  y= 10√3

Step-by-step explanation:

This question is clearly a trigonometry question

Please bare in mind :

Cos 60 = 1/2

Sin 60 = √3/2

Tan 60 = √3

Side x is the hypotenuse (h)

Side y is the Opposite (o)

And side with length of 10 is adjacent (a)

To find x, we have a, and we need h

So we use C = a/h

Cos 60 = 10/h

h = 10/Cos 60

h = 10/0.5

h = 20 ,  x=20

To find y, we can use pythagaros as we found the value of x :

10² + y² = x²

10² + y² = 20²

y² = 20²-10²

y² = 300

y = √300

y= √100×3   y=√100 × √3

y = 10√3

This is our y value

Another way to find y is trigonometry :

We have a and we need o so we use :

T = o/a

Tan 60  = o/10

o = 10×tan 60

o = 10×√3

o = 10√3 ,  y=10√3

Sorry for not being urgent but give brainliest please

Answer:

0.06

Step-by-step explanation:

The product of 2 numbers means that we have to multiply them.

So, we do 0.2 x 0.3 = 0.06

To do this, we convert the decimal fractions into whole numbers by multiply both by 10.

ie. 0.2 x 10 = 2

and

0.3 x 10 = 3

Now multiply together

2 x 3 = 6.

However, we have to remember that we multiplied both numbers by 10 (ie. 10 x 10 = 100) so we must remember to divide the answer by 100

...0.06

Hope this helps!

- profparis

Answer:

=0.06

Step-by-step explanation:

0.2

× 0.3

= 0.06

therefore the answer is 0.06

Step-by-step explanation:

a.

the arc angle AC = 180° (since this is a diameter).

the arc angle BC = 60°.

so,

arc angle AB = arc angle AC - arc angle BC = 120°.

b.

the exterior angle of a circle segment at the circle arc is half of the interior angle at the center of the same segment.

the angle A = arc angle BC / 2 = 30°.

c.

the same principle as in b.

the angle C = arc angle AB /2 = 60°.

d.

the arc angle AD = the angle at AOD (that is how arc angles are defined).

the angle AOD = the angle AOF.

the sum of all angles in a triangle is always 180°.

angle AOD = AOF = 180 - 90 - angle A = 60°.

e.

as explained, this is the same as the arc angle AD and therefore the same as d.

it is 60°.

f.

the arc angle CE = the arc angle AD = 60°.

remember, the angles of intersecting lines are the same (just side mirrored) on both sides of each line.

g.

the arc angle ABE = arc angle AB + arc angle BC +

+ arc angle CE = 120 + 60 + 60 =

= 240°

h.

the angle AOE = the arc angle AE = the remainder of 360 minus the arc angle ABE of g.

so, angle AOE = 360 - 240 = 120°

Answer:

Step-by-step explanation:

The probability of each number is same:

So P(7) is also 1/8.

Correct choice is B

Answer:

1. Proportion

2. Not Proportion

3. Proportion

4. Proportion

5. Proportion

Step-by-step explanation:

Hope it helps you :))))))

Have a good day

The total amount of change, in cents, that was found is determined as 96 cents.

The total amount of change is calculated as follows;

let the total = T

there was at least one coin of each type

T = p + n + d + q

more than half of the coins were pennies

[tex]\frac{p+n + d + q }{2} \leq p[/tex]

more than half = pennies

next, we have; nickels + dimes + quarters

y(dimes) = $0.25

y(0.1) = 0.25

y = 0.25/0.1

y = 2.5 ≅ 3

dimes = 3 coins

since dimes = 3 coins, number of nickels is now calculated as;

x(0.05) = 3(0.1)

x = (0.3)/(0.05)

x = 6 coins

nickels = 6 coins

Total coins = nickels + dimes + quarters + pennies

Total coins = nickels + dimes + quarters + pennies

let pennies = 7

Total coins = 6 + 3 + 1 + 7

Total coins = 17

half of 17 = 8.5

7 is less than half (8.5), number of pennies cannot be 7, since more than half of the coins are pennies.

let pennies = 11

Total coins = 6 + 3 + 1 + 11

Total coins = 21

half = 10.5

more than half = number of pennies = 11

11($0.01) + 6($0.05) + 3($0.1) + 1($0.25) = $0.96 = 96 cents

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