The area of a rectangle can be expressed by

2x^2 - 7x - 4

If the rectangle has an area of 45, find the positive value for x

Answers

Answer 1
2x^2-7x-4=45
2x^2-7x=45+4
2x^2-7x=49
2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)
(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7

Related Questions

help pls asap!!!!!!! brainliest!!!!!!

Answers

The answer is C.
I did the work on a sticky note.

Gasoline costs $3.37 per gallon. Mary's father puts 9i gallons in the tank of his car. How much will the gasoline cost?

Answers

9 gallons of gasoline would cost 30.33

9 x 3.37=30.33 you just have to multiply the gas by the gallons and then that will give you your answer

Chris paid $9.18 for a necklace. This amount includes the sale tax of 8% what was the cost of the necklace before tax?

Answers

9.18-8%= 8.44 so I guess it’s $8.44? I’m sorry if it’s wrong

pls help me guys i have no idea what im doing...

Answers

90 + x + 3x = 180

4x = 90

x = 22.5

Your answer: 22.5

I need help I don’t understand. I will give brainliest.

Answers

Answer:

i think it is A

Step-by-step explanation:

width x base x height

<3

can SOMEONE plz HELP!?!?!

Answers

Answer:

a. 100 m

b. 900 m

c. 5,100 m

d. 8,800 m

e. -650 m

Step-by-step explanation:

1. How many juniors like to watch track?
2.How many students like tennis best?
3.How many students were surveyed?
4.What percentage of students like track?
5. What percentage of students are in 12th grade and like Soccer?
6. What percentage of seniors like Soccer?
7. What is the relative frequency of being a junior and liking track
8.Out of seniors, what is the relative frequency od liking tennis best?
9.Which sport choice is most popular?
10. Write one statement that compares the sport preferences of the juniors and seniors​

Answers

The solution is:

Number of students who like only tennis and football = 2

Number of students who like only tennis and baseball = 5

Number of students who like only baseball and football = 12

What is intersection?

The intersection of two sets is the set of all those elements which are common to both of the sets.

here, we have,

Solution:

Let students who likes tennis be represented by set T.

Let students who likes football be represented by set F.

Let students who likes baseball be represented by set B.

Given that

Number of students who likes tennis that is n(T) = 18

Number of students who likes football that is n(F) = 25

Number of students who likes tennis and football = n( T ∩ F ) = 10

Number of students who likes tennis and baseball = n( T ∩ B ) = 13

Number of students who likes football and baseball = n( F ∩ B ) = 20

Number of students who likes all three sports = n(T ∩ F ∩ B ) = 8

Number of students who likes none of the sports = 9.

Determining number of students who like only tennis and football:

number of students who like only tennis and football = Number of students who likes tennis and football - Number of students who likes all three sports

so number of students who like only tennis and football

= n( T ∩ F ) - n(T ∩ F ∩ B )  

= 10 – 8

= 2

Determining number of students who like only tennis and baseball:

number of students who like only tennis and baseball = Number of students who likes tennis and baseball - Number of students who likes all three sports

so number of students who like only tennis and baseball

= n( T ∩ B ) - n(T ∩ F ∩ B )  

= 13 – 8

= 5

Determining number of students who like only baseball and football:

number of students who like only baseball and football = Number of students who likes baseball and football - Number of students who likes all three sports

so number of students who like only baseball and football

= n( B∩ F ) - n(T ∩ F ∩ B)  

= 20 – 8

= 12

Summarizing the result :

number of students who like only tennis and football = 2

number of students who like only tennis and baseball = 5

number of students who like only baseball and football = 12.

To learn more on intersection click:

brainly.com/question/12089275

#SPJ2

complete question:

In a survey of students about favorite​ sports, the results include 18 who like​ tennis, 25 who like​ football, 10 who like tennis and​ football, 13 who like tennis and​ baseball, 20 who like football and​ baseball, 8 who like all three​ sports, and 9 who like none of the sports. How many students like only tennis and​ football? How many students like only tennis and​ baseball? How many students like only baseball and​ football?

what is the prime factorization of 96

Answers

Answer:12

Step-by-step explanation:

The prime of 96 is 12

Answer:2 5 · 3

Step-by-step explanation:

What formula would you use to find the area of this figure?
B) A=1/3(b)(h)
C) A=1/2(b)(h)
D) pi r exponent 2

Answers

c is the formula used for areas of triangles

Please help ASAP I need it

Answers

Answer:

the negative of 255 is just -255

the answer is -255. mark brainliest please!

Can somebody please help me ?

Answers

Answer:

54

Step-by-step explanation:

Answer:

54 degrees

Step-by-step explanation:

Assuming one angle is 90 degrees , 36 + 90 = 126

A triangle sums up to 180 degrees so:

180 -126 = 54

Write in slope-intercept form an equation of the
line that passes through the given points.
(-2, 4), (3, 9)

Answers

Answer:

y = 5x - 6

Step-by-step explanation:

You know what to do help and welp

Answers

20*0.65 equals to 13, so shade 13 of them

Hugo is buying DVDs that cost $15 each. He has a coupon for $5 off his
total purchase. Write an equation to find c the total amount he will spend on
any number of DVDs d. Then use the equation to find the amount he will
spend if he buys 6 DVDs.

Answers

Answer: 85

Step-by-step explanation: 15 × 6= 90 - 5=  85

sandra used 2 jars of beads to make 16 necklaces how many jars of beads would she need to make 192 neclaces

Answers

Answer:

24 Jars

Step-by-step explanation:

Do 16/2, which gives you eight for every necklace. Then do 192/8 which would give you 24. So, she would need 24 jars for 192 necklaces.

Answer:

16÷2=8

8÷192=24

its 24

all you have to do is divide the 16 and 2 to see how many is in each jar and how much they have done then just just divide that number with 192.

If x=2 and y=12 evaluate the following expression:y/x

Answers

I think you just do 12/2 which is 6
Answer: 6

Work:
(12)
——
(2)

Please help the picture is there!

Answers

Answer: A

Step-by-step explanation:

r = j + 3

We subtitube r to find j,

r = 9          j = 9 + 3 = 12

r = 15         j = 15 + 3 =18

r = 21         j = 21 + 3 = 24    

And we found A as answes.

Answer:

C

Step-by-step explanation:

r = j + 3 ⇒ j = r - 3

Table C is the correct one

r = 9 ⇒ j = 6r = 15 ⇒ j = 12r = 21 ⇒ j = 18

George has opened a new store and he is monitoring its success closely.

He has found that this store’s revenue each month can be modeled by r(x)=x^2+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.

He has also found that his expenses each month can be modeled by c(x)=x^2−3x+4 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.



What does (r−c)(3) mean about George's new store?




The new store will have a profit of $3400 after its third month in business.

The new store will sell 3400 items in its third month in business.

​The new store will sell 2400 items in its third month in business.

​​The new store will have a profit of $2400 after its third month in business.

Answers

Answer:

The new store will have a profit of $3400 after its third month in business.  

Step-by-step explanation:

I took the test :)

Find the mean of the data set below:
13, 6, 47,0

Answers

Answer: 16.5

Step-by-step explanation:

13 + 6 +47 + 0 = 66

there is 4 data so divide 66 by 4 and you will get 16.5

The answer is 16.5 xx

what is the factor of 360​

Answers

Answer:

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Answer:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360, making a total of 24 divisors. 360 is a highly composite number.

Step-by-step explanation:

23 × 32 × 5

A car drives at 90km/h for 2 hours 20 mins. How far does the car drive?

Answers

Answer:

210 km

Step-by-step explanation:

210 km

anahqjakqkqkqkqk

help i will give brainliest and 10 points!

Answers

Answer:

what's the question? ..

Please help! The question and answer choices are attached.

Answers

A is the correct answer

please help me.
Find the missing side length for each triangle.

Answers

Answer:

for triangle ABC side AC is 13         and for triangle DEF side ED is 24

Step-by-step explanation:

Question 24
The lines y = 2x - 1 and y = 2x + 5 are


A:perpendicular

B:neither

C:parallel

Answers

Answer:

parallel  bc they have same gradient

Step-by-step explanation:

I agree, I think it’s parallel

HURRY FAST

Give the most descriptive name for the figure.
a. Square
b. Rectangle
c. Parallelogram
d. Rhombus

Answers

rhombus because it is the answer

Can Sombody help me real fast?

Answers

Answer:

45°

Step-by-step explanation:

Angles on a straight line add up to 180°.

135 + x = 180

x = 180 - 135

x = 45°

Which of the following numbers is irrational? A. -6 B. √10 C. -0.45 D. 2/3

Answers

Answer:

square root of ten so b.

Step-by-step explanation:

Of all the students in a school, 2/9 and no of them are in sixth grade.

a. How many sixth graders are there if the school has 90 students?

b. How many sixth graders are there if the school has 27 students?

c. If the school has x students, select the expression for the number of students in the school in terms of x.

d. How many students are in the school if 42 of them are sixth graders?


Answers

The answe would be 10 students

Your decisions now will have no effect on health later on ?*

True or
False

Answers

Answer:

True!

Step-by-step explanation:

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