Solve the system of equations by elimination

3x + 5y = 16
2x - y = 2

Answer:

1) no solution

2) no solution

Step-by-step explanation:

7(2 + 5v) = 3v +14

14 + 35v = 3v + 14

The 14s cancel each other out.

35v ≠ 3v

no solution

36 - 7p = -7(p - 5)

36 - 7p = -7p + 35

The -7s cancel each other out.

36 ≠ 35

no solution

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The value of h in the equation h - 3.5 = 9 is 12.5.

Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.

Equations can be classified based on their degree, which corresponds to the highest power of the variables involved. For example, linear equations have a degree of 1, quadratic equations have a degree of 2, and so on.

Given that

h - 3.5 = 9,

Add 3.5 on both sides,

h - 3.5 + 3.5 = 9 + 3.5,

h = 12.5.

So, the value of h is 12.5.

Learn more about Equations here:

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The complete question is as follows:

Solve the following equation for h:

h-3.5 =9

The parabola x = ay^2 opens (a) left, if a is negative

The equation of the parabola is given as:

x = ay^2

From the question, we understand that a is negative

This means that

a < 0

When a is negative, then the parabola opens to the left

Hence, the parabola opens (a) left

Read more about parabolas at:

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Answer:

H=-6t^2+38t+1

Step-by-step explanation:

Answer:

693 apples

Step-by-step explanation:

126 x 8 = 1,008

1,008 - 126 (1 bushel) = 882

1,008 - 126 (another bushel) = 756

126/2 = 63

756 - 63 (1/2 bushel) = 693

sorry, the correct answer is 693 apples left

Answer:

There is insufficient statistical evidence at 5% significant level to conclude that Brand B machines have a lower variance in quality

Step-by-step explanation:

The given parameters are;

The number of units of the sample from Brand A, n₁ = 12 units

The standard deviation of the quality characteristic of Brand A, s₁ = 15.2

The number of units of the sample from Brand A, n₂ = 20 units

The standard deviation of the quality characteristic of Brand B, s₂ = 10.1

The null Hypothesis; H₀; s₁² = s₂²

The alternative Hypothesis; H₀;  s₂²< s₁²

The difference of two variance formula;

The F test statistic is given as follows;

[tex]F = \dfrac{S_1^2}{S_2^2}[/tex]

Where;

S₁² = The variance of sample (1) = 15.2² =  231.04

S₂² = The variance sample (2) = 10.1² = 102.01

df₁ = n₁ -1 = 12 - 1 = 11

df₂ = n₂ - 1 = 20 - 1 = 19

From the F table, we have the critical value from the F table = 2.66

[tex]F = \dfrac{S_1^2}{S_2^2} = \dfrac{231.04}{102.01} \approx 2.265[/tex]

Therefore, given that F ≈ 2.265 is not larger than the critical F for α = 0.05, we do not reject the null hypothesis, and there is sufficient statistical evidence at 5% significance level to conclude that Brand B machines have the same variance in quality as Brand A machines

Answer:

D.

Step-by-step explanation:

If She earns 80$ PER day + 8$ per phone sold and makes AT LEAST 176$ on Tuesday, You need to figure out how many phones she has sold by Tuesday.

Okay so now you need to set up your problem.

8x + 80 ≥ 176

Take away the 80, then take 80 from 176.

176 - 80 = 96

96 ÷ 8

x ≥ 12

B. 448 square meters

Step-by-step explanation:

I cut it into two rectangles

12cm by 4 cm for the first rectangle = 48cm

22cm by 8 cm for the second = 176cm

add areas together = 224cm

convert to meters = 448 square meters

hope this helps comment for more

Answer:

The scale factor is (2/3)

Step-by-step explanation:

[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]

I hope that is useful for you :)

Answer:

25 x 3 a 2

Step-by-step explanation:

Answer:

6 x g

Step-by-step explanation:

Answer:

[tex]g^{6}[/tex]

Step-by-step explanation:

Answer:

The correct option is (c).

Step-by-step explanation:

The given number is -0.904.

We need to represent the number in scientific notation.

Any number can be written in scientific notation as follows :

[tex]a\times 10^b[/tex]

Where

a is a real number and b is an integer

We can write it as follows :

[tex]-0.904=-9.04\times 10^{-1}[/tex]

Hence, the correct option is (c).

Answer and Step-by-step explanation:

There aren't any real roots.

This is because the equation isn't factorable. You would have to use the quadratic formula to find the roots, which would be imaginary roots, and not real roots.

#teamtrees #PAW (Plant And Water)

Answer:

(1,23) , (2,28) , (3,32) , (4,35)

Step-by-step explanation:

Just match the X value with its corresponding Y value

Answer: hi how are you i

Answer:

30 inches wide by 40 inches long

Step-by-step explanation:

27 inches rounds up to 30 inches and 42 inches rounds down to 40 inches

Answer:

Answer for 3:

its 6/2 and 3/1 because 6/2 simplified is 3 and 3/1 is 3

Step-by-step explanation:

Answer for 4

box one 1/4

box 2 4/10

box 3 3/4

Answer:

0.416667 foot

Step-by-step explanation:

Answer: 0.41666667

Step-by-step explanation:

From the internet

Answer:

30+ 15 =45

Step-by-step explanation:

(3×10)+15 =45

Answer:

there seems to be no page ...

Answer:

0.35 or 35%

Step-by-step explanation:

The probability that any seed will germinate is said to be 0.65 (or 65%) in the question. This means that the remaining percentage is the probability that the randomly selected seed will not germinate. This is because there is only two possible outcomes to that given scenario, which is it will germinate or not. Meaning that the remaining percentage/probability is that it will not germinate

1 - 0.65 = 0.35 or 35%

Answer:

Option A

Step-by-step explanation:

Number of components assembled by the new employee per day,

N(t) = [tex]\frac{50t}{t+4}[/tex]

Number of components assembled by the experienced employee per day,

E(t) = [tex]\frac{70t}{t+3}[/tex]

Difference in number of components assembled per day by experienced ane new employee

D(t)= E(t) - N(t)

D(t) = [tex]\frac{70t}{t+3}-\frac{50t}{t+4}[/tex]

      = [tex]\frac{70t(t+4)-50t(t+3)}{(t+3)(t+4)}[/tex]

      = [tex]\frac{70t^2+280t-50t^2-150t}{(t+3)(t+4)}[/tex]

      = [tex]\frac{20t^2+130t}{(t+3)(t+4)}[/tex]

      = [tex]\frac{10t(2t+13)}{(t+4)(t+3)}[/tex]

Therefore, Option A will be the answer.

Answer:

Step-by-step explanation:

EB = 1.25×BC

x+5 = 1.25(x+1)

x+5 = 1.25x + 1.25

3.75 = 0.25x

x = 15

Answer:

The rocket will reach its highest point about 2.04 seconds.

Step-by-step explanation:

The function:

[tex]f(t)=-4.9t^2+20t[/tex]

Models the relationship between the height of the rocket and the time after launch t in seconds.

Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -4.9, b = 20, and c = 0. Thus:

[tex]\displaystyle t=\frac{-(20)}{2(-4.9)}=\frac{10}{4.9}\approx 2.04[/tex]

The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.

Further Notes:

Then the maximum height of the rocket will be f(10/4.9):

[tex]\displaystyle f\Big(\frac{10}{4.9}\Big)=-4.9\Big(\frac{10}{4.9}\Big)^2+20\Big(\frac{10}{4.9}\Big)\approx20.41\text{ feet}[/tex]

Answer:

y = -3× + 1

Step-by-step explanation:

rise / run = 3 / -1 = -3

y intercept = 1

therefore y = -3× + 1

Answer: B

Step-by-step explanation: