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Rama09 [41]
3 years ago
5

Factor the expression. 3x2 + 14x-5

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

(3x-1)(x+5)

Step-by-step explanation:

Find two numbers that when they multiply, you get the third term,

which is -5 in this problem. And when they add up, you get the second term,

which is 14 in this problem.

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When ms. shreve solved an equation in class, she checked her solution and found that it did not make the equation true! Examine
IgorC [24]
The first part of the second line, she left the -5 there. The correct work and solution should be this:
5(2x-1)-3x=5x+9
<span><span>7x</span>−5</span>=<span><span>5x</span>+<span>9
</span></span>2x-5=9
2x=14
x=7
7 0
3 years ago
Calculate the following derivative if <br> f(x) = sin(x)<br> and <br> g(x) = 5x + 4.
gayaneshka [121]

Answer:

Rewrite the function as an equation.

y

=

5

x

−

4

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Find the values of  

m

and  

b

using the form  

y

=

m

x

+

b

.

m

=

5

b

=

−

4

The slope of the line is the value of  

m

, and the y-intercept is the value of  

b

.

Slope:  

5

y-intercept:  

−

4

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for fewer steps...

Choose  

1

to substitute in for  

x

to find the ordered pair.

Tap for fewer steps...

Replace the variable  

x

with  

1

in the expression.

f

(

1

)

=

5

(

1

)

−

4

Simplify the result.

Tap for more steps...

1

The  

y

value at  

x

=

1

is  

1

.

y

=

1

Choose  

0

to substitute in for  

x

to find the ordered pair.

Tap for fewer steps...

Replace the variable  

x

with  

0

in the expression.

f

(

0

)

=

5

(

0

)

−

4

Simplify the result.

Tap for more steps...

−

4

The  

y

value at  

x

=

0

is  

−

4

.

y

=

−

4

Create a table of the  

x

and  

y

values.

x

y

0

−

4

1

1

Graph the line using the slope and the y-intercept, or the points.

Slope:  

5

y-intercept:  

−

4

x

y

0

−

4

1

1

Step-by-step explanation:

8 0
2 years ago
Brett works at a local pet store. When he works 5 hours he earns $25. When he works 10 hours he earns $50. What is the rate per
vampirchik [111]

Answer:

$5 per hour

Step-by-step explanation:

25/5 = 5

10*5 = 50

8 0
3 years ago
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
liberstina [14]

Answer:

Side 1=21 ft, Side 2=7, Side 3=24

Step-by-step explanation:

52 = (3x) + (x) + (x+17) -> 52 = 5x + 17 -> 5x = 35 -> x = 7

Plus 7 into the equation whenever you see an x.

7 0
2 years ago
PLZ HELP DUE IN 20 MINS
Artemon [7]

Answer:

a. D and E are similar but not congruent.

Step-by-step explanation:

Let's analyse each statement and determine which is true about the 3 given quadrilaterals:

a. "D and E are similar but not congruent." TRUE.

D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.

D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.

b. "E and F are similar and congruent." NOT TRUE.

E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.

c. "D and E are similar and congruent." NOT TRUE.

Since statement (a) is TRUE, statement (c) cannot be true.

D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.

d. "F and D are similar but not congruent." NOT TRUE.

F and D has the same size but the ratio of their corresponding sides are not the same.

4 0
3 years ago
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