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3 years ago

The substitution method: Solve for x in the second equation and substitute it into the first equation. The result is .

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

Answer: solve for c in a second equation and substitute: correct is 2(-3+2y) +5y= -6. 100% correct.

Step-by-step explanation:

jek_recluse [69]3 years ago

5 0

Suppose you have the following system of linear equation:

$\left \{ {{(1) \ ax+by=c} \atop {(2) \ dx+ey=f}} \right.$

According to the statement above, first we need to solve for x in the second equation:

$dx+ey=f \\ \\ \therefore x=\frac{f-ey}{d}$

Next we need to substitute x into the first equation, so:

$a\left(\frac{f-ey}{d}\right)+by=c$

So, the conclusion is that from this last equation the result we can get is y. Then, by substituting the value of y in the first or second equation we can get x.

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Which of the following se solutions to the inequality -7x+14>3x-6? Select all that apply. A. -10 B. 10 C. -5 D. 5 E. -3 F. 3

sweet-ann [11.9K]

A, C, E, and G i thinkk

8 0

3 years ago

What is SIN A?

Bond [772]

Answer:

$\sin A =\frac{4}{5}$

Step-by-step explanation:

Recall the mnemonics SOH CAH TOA.

SOH means the Sine ratio is Opposite over Hypotenuse.

This implies that;

$\sin A =\frac{Opposite}{Hypotenuse}$

The side opposite to angle A is 4cm and the hypotenuse is 5cm.

$\therefore \sin A =\frac{4}{5}$

6 0

2 years ago

A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest

OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

$t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150$

substitute in the formula above

$I=P_1(r_1t)+P_2(r_2t)$

$1,150=x(0.0525*1)+(25,000-x)(0.04*1)$

Solve for x

$1,150=0.0525x+1,000-0.04x$

$0.0525x-0.04x=1,150-1,000$

$0.0125x=150$

$x=\$12,000$

$|$25,000-x=\$13,000$

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0

2 years ago

Read 2 more answers

Which equation represents a hyperbola shown in the graph?

Paladinen [302]

Answer:

It's C

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is the answer so I can answer it on my side of the phone

amm1812

Answer:

C. 134.04 $cm^{2}$

Step-by-step explanation:

The formula to calculate the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height

The base of the cone is a circle, so that the formula to calculate the are of the base is: Area of base = $\pi$ x $radius^{2}$

The radius of the base is 4cm

=> Area of base = $\pi$ x 4^2 = 3.14 x 16 = 16 $\pi$ $cm^{2}$

The height of the cone is given equal to 8 cm

So the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16 $\pi$ x 8 = 134.04 $cm^{2}$

So the answer is C

5 0

2 years ago