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3 years ago

(-3x - 7) + (4x + 7)

Mathematics

1 answer:

Paha777 [63]3 years ago

8 0

Answer: Just Simplify and add like terms

-3x - 7 + 4x +7

1x -7 +7

1x = 0

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A triangle-shaped machine part has sides of 2 1/2 inches, 3 1/4 inches, and 5 inches. The triangle's perimeter is

SOVA2 [1]

Answer:

Step-by-step explanation:

The perimeter of any shape is the distance around the edge of the shape. It is found by adding the side lengths of each side together.

Add each side length listed for the triangle part.

$P = 2\frac{1}{2} + 3\frac{1}{4} + 5 \\P = 2\frac{2}{4} + 3\frac{1}{4} + 5\\P = 10 \frac{3}{4}$

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3 years ago

If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

$y = -\frac{5}{3}x+\frac{2}{3}$

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

$y = -\frac{5}{3}x+\frac{2}{3}$

6 0

3 years ago

Tricia is going to write Patterns A, B, and C using the rule add 15. The first

8_murik_8 [283]

Answer:

The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".

Step-by-step explanation:

In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.

In Pattern A.

5+20+35+50+......

In Pattern B.

10+25+40+55+70+.....

In Pattern C.

15+30+45+60....

In this, pattern option B is correct because it will give 40.

5 0

3 years ago

24 red marbles is40% of ? Marbles

Anvisha [2.4K]

Answer: The answer is 60

Step-by-step explanation: 40% = .4 because % means hundredths. So 40% = 40/100 = .4

Let x be the total number of marbles.

Then, .4x = 24

Divide both sides by .4

x = 60 and 24 is 40% of 60 marbles

5 0

3 years ago

Read 2 more answers

The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

Darina [25.2K]

Answer:

a) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 0$ are $x_{1}\approx -0.25$ and $x_{2} \approx 1.25$ .

b) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 2$ are $x_{1}\approx -0.5$ and $x_{2} \approx 1.5$

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial $y = 4\cdot x^{2}-4\cdot x -1$ , where $x$ is related to the horizontal axis of the Cartesian plane, whereas $y$ is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) $4\cdot x^{2}-4\cdot x -1 = 0$

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

$x_{1}\approx -0.25$ , $x_{2} \approx 1.25$

b) $4\cdot x^{2}-4\cdot x -1 = 2$

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

$x_{1}\approx -0.5$ , $x_{2} \approx 1.5$

5 0

3 years ago