Factor the quadratic expression t^2 + 4t - 7

Answers

Answer 1

Answer:

Not factorable.

Step-by-step explanation:

We have a trinomial (3 terms). We factor by splitting the middle term 4t into factors of -7 (the last term) which add to 4.

-7 = 1 * -7

4t= 1t+-7t doesn't work

4t=-1t+7t doesn't work

This is not factorable.



Answer 2

Answer:

(t + 7) • (t - 11)

Step-by-step explanation:


Related Questions

What’s the answer please

Answers

Answer:


Step-by-step explanation:


Answer:

(x, y ) = (5, 4 )

Step-by-step explanation:

given the 2 equations

3x - 2y = 7 → (1)

- 3x + 5y = 5 → (2)

adding the 2 equations term by term will eliminate x

(3x - 3x) + (- 2y + 5y ) = (7 + 5 )

0 + 3y = 12

3y = 12 ( divide both sides by 3 )

y = 4

substitute y = 4 in either of the 2 equations and solve for x

(1 ) : 3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

solution is (5 , 4 )


a) 120 is what percentage of 30


b) 30 is 120% of what number


c) what number is 30%of 120















WHOEVER GIVES ME THE RIGHT ANSWER AND A STEP BY STEP EXPLANATION GETS POINTS AND BRAINLIST************************************************************************************************

Answers

Answer:

a ) 400 percent

b )  n = 25

c)  n= 36

Step-by-step explanation:

Is means equals, of means multiply and percents need to be changed to decimals.

a) 120 is what percentage of 30

120 = P * 30

Divide each side by 30

120/30 =P* 30/30

4 = P

Multiply by 100 to give the percentage

4 * 100

400 percent


b) 30 is 120% of what number

30 = 1.2 * n

Divide each side by 1.2

30/1.2 = 1.2n/1.2

25  = n


c) what number is 30%of 120

n = .3 * 120

n =36


What you have to do is add the denominator by the graph which equals the atomic number of Boron which is then simplified to Na or sodium then add 10 and that will give you the answer false

You and some friends rent a limousine for a formal reception. The bill for the evening is $65.00. A tax of 7% will be added to your total, and you want to tip the chauffeur for his excellent driving. You decide to leave him a tip that is 20% of the bill before tax is added. How much will be paid in total?

A. 92.00

B.91.00

C. 85.50

D. 82.55

Answers

You addition the the tax and the tip
0,07+0,2=0,27%

You will have to pay 27% more than original price so 1,27%

1,27•65=82,55$

It's D

Answer:

D YEET

Step-by-step explanation:

A bookcase in a classroom contains textbooks that weigh 0.8 pound each. The bookcase alone weighs 22.2 pounds. If the total weight of the books and the bookcase is 31.8 pounds, how many books are in the bookcase?

Answers

I think 12.

31.8 - 22.2 = 9.6
9.6 ÷ 0.8 = 12

Answer:

It should be 12 because:

31.8 - 22.2 = 9.6

9.6 ÷ 0.8 = 12

the ages of three men are in the ratio 3:4:5.if the difference between the age of the oldest and the youngest is 18years, fine d the sum of the age of the three men

Answers

Answer:

108

Step-by-step explanation:

Givens

let the oldest one = 5xLet the youngest one = 3xLet the middle one = 4x

Equation

3x + 18 = 5x  

Solution

3x + 18 = 5x                         Subtract 3x from both sides3x - 3x + 18 = 5x - 3x          Combine18 = 2x                                 Divide by 218/2 = 2x/2                          Dividex = 9

Answer

3x = 3*9 = 275x = 5*9 = 454x = 4*9 = 36The sum is 108

Comment

This is a very tricky problem. It is not the usual way that 3 part ratios are handled. Thanks for posting.

find the value of x and show your work

Answers

Answer:

x = 10

Step-by-step explanation:

2.1   Adding a fraction to a whole  

Rewrite the whole as a fraction using  10  as the denominator :

          7x     7x • 10

    7x =  ——  =  ———————

          1        10    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole  

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions  

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7x • 10 + 1     70x + 1

———————————  =  ———————

    10            10    

Final result :

 70x + 1

 ———————

   10    

Processing ends successfully

Solve for x.

−6 = 3/8x

Answers

Answer:

-16 =x

Step-by-step explanation:

−6 = 3/8x

Multiply each side of the equation by 8/3 to isolate x

-6 *8/3 = 8/3* 3/8 x

-48/3 = x

-16 =x

Answer:


Step-by-step explanation:

-6=3/8x

To make this easier to visualize:

3/8= 0.375


-6=.375x

Divide both sides by .375

The right side cancels.

-6/.375=-16

So x=-16


Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 cm.

Answers

Answer:

The hula hoop rolls 879 \text{ cm}879 cm.

Step-by-step explanation:


carlose has 38 apples .he put 8 apples in each bag.if he fills as many bags as possible ,how many apples are left.
plezz hurry

Answers

Answer:

he can fill 4 bag

i think he will have 4 or 6 left

Step-by-step explanation:

38/8= 4.75

.75/8=6

Answer:

4 bags and 6 apples

or

4.75 bags of apples

Step-by-step explanation:

First, take 38 divided by 8. You get 4.75. That means 4 bags have been filled up.

Next take 8 times 4. you get 32. then take 38-32 and you get 6.

That means there is 4 bags of apples and 6 left over. You could also say 4.75 bags are filled.

This was a different way of awnsering it so I hope this helps. This is how I do it.

Give a counter example to the following statement.
All quadrilaterals are rectangle

Answers

A trapezoid is a countering example because it does not have two sets of parallel sides or four right angles but it still has four sides

Chole wants to build a storage container in the shape of a cube to hold 15.625 cubic meters of hay for her horse. Slove the equation 15.625 =s3 find the length of oneside of the container

Answers

Answer:

The length of each side is 2.5 m

Step-by-step explanation:

A cube has a volume of 15.625 m^3 of hay

We want to find the length of one side

V= s^3 where s is the length of one side

15.625 = s^3

Take the cube root of each side

15.625 ^ (1/3) = s^3 ^(1/3)

15.625 ^ (1/3) = s

2.5 = s

The length of each side is 2.5 m

if i √ 1 what is the value of i 2

Answers

Answer:

I is the √-1 so it would be √-2 as your answer

Step-by-step explanation:


If the value of i = [tex]\sqrt{1}[/tex] then value of i² = 1.

What are surds and indices ?

When we raise numbers to powers they  are either called surds when we raise powers which are greater than zero but less than 1 in fraction from.

We call indices when we raise powers to which are greater than 1.

Indices make the base larger after simplification and surds make the bases smaller after simplification.

According to the given question i = [tex]\sqrt{1}[/tex].

∴ The value of i² is i×i = [tex]\sqrt{1}[/tex] × [tex]\sqrt{1}[/tex] = [tex]1^\frac{1}{2}[/tex] × [tex]1^\frac{1}{2}[/tex] = [tex]1^[\frac{1}{2}+\frac{1}{2}][/tex] = 1¹ = 1.

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If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)? A. 5x3 + 9x2 + 15x + 27 B. 25x2 + 90x + 84 C. x2 + 5x + 12 D. 5x2 + 24

Answers

Answer: A

Step-by-step explanation:

m(x) = x² + 2  

n(x) = 5x + 9

(m*n)(x) = (x² + 3)(5x + 9)

            = x²(5x + 9) + 3(5x + 9)

            = 5x³ + 9x² +  15x + 27

   

Answer:

[tex]5x^3 +9x^2 +15x+27[/tex]

Step-by-step explanation:

If m(x) = x2 + 3 and n(x) = 5x + 9,

(mn)(x) is (m times n)(x)= m(x) times n(x)

m(x)  * n(x)

Plug in m(x) and n(x). then multiply it

m(x)  * n(x)

(x^2 + 3)(5x+9)

Apply FOIL method to multiply it

x^2 * 5x = 5x^3

x^2 * 9 = 9x^2

3*5x= 15x

3*9 = 27

[tex]5x^3 +9x^2 +15x+27[/tex]

how do i prove am + am = AB

Answers

Statement 1: AM is the midpoint of AB

Reason 1: Given

=====================================

Statement 2: AM+MB = AB

Reason 2: Segment Addition Postulate

Further explanation: Basically this idea is where you can break up the line segment into smaller pieces, or glue smaller segments to form a larger segment.

=====================================

Statement 3: AM = MB

Reason 3: Definition of midpoint

Further explanation: The midpoint cuts a line segment in half. The two smaller pieces AM and MB are congruent (ie equal in length)

=====================================

Statement 4: AM + AM = AB

Reason 4: Substitution

Further explanation: We replace the MB in statement 2 with AM. This replacement is possible because of the equation AM = MB in statement 3.

This concludes the proof.

A 12-ounce bottle of soda costs $3.60. If the unit price remains the same how much would a 20-ounce bottle of soda cost?

A) $3.00
B) $5.50
C) $6.00
D) $6.50

Answers

For this, simply set up a proportion. If 12 oz. costs $3.60, then this means $3.60 per oz, or [tex]\frac{3.6}{12}[/tex]. Now letś make a proportion for 20 oz. Itś asking for how much it would cost if the unit price was the same, which means that the two should have a similar ratio. Because we don´t know how much it costs yet, this means x dollars for a 20 oz. bottle, or [tex]\frac{x}{20}[/tex]. I´ve already mentioned that they two are proportional, so write [tex]\frac{3.6}{12} = \frac{x}{20}[/tex].

To solve, cross multiply.

⇒[tex]12*x=3.6*20[/tex]

⇒[tex]12x=72[/tex]

Isolate variable x.

⇒[tex]\frac{12x}{12} = \frac{72}{12}[/tex]

⇒ x = 6: $6.00 for 20 ounces of soda.

Checking your work:

3.6/12 = 0.3

6/20 = 0.3

This means that theyŕe proportional, and that your answer is correct. Hope this was helpful.

Five added to twice Jeff’s age is the same as 3 times his age minus 2. How old is Jeff

Answers

Answer:

21

Step-by-step explanation:


To find Jeff's age, we set up an algebraic equation based on the problem given. By isolating the variable and solving the equation, we determine that Jeff is 7 years old.

The problem presented is a basic algebraic equation that can be translated to: 5 + 2 * Jeff's age = 3 * Jeff's age - 2. To solve for Jeff's age, we follow these steps:

First, let's define Jeff's age as the variable x. So we can rewrite the equation as 5 + 2x = 3x - 2.Next, we want to get all the x terms on one side and the constant terms on the other to isolate x. We can do this by subtracting 2x from both sides of the equation, which gives us: 5 = x - 2.Finally, by adding 2 to both sides of the equation, we get Jeff's age, x = 7.

Jeff is 7 years old.

cc has 3/4 gallons of chocolate ice cream left from her birthday party .she ate 1/2 of the chocolate ice cream while watching tv .how much ive crea does she have left?

Answers

Answer:

3/8 gallons left

Step-by-step explanation:

she has 0.75 of a gallon

she eats 0.5(0.75) while watching TV

multiply 0.5 by 0.75 to get half of 3/4 of a gallon

0.375 of a gallon is what she has left

or 3/8 of a gallon

so you are going to do 3/4 -1/2.find common denominators and subtract
3/4-1/2=
3/4-1/4=1/4
I got this by finding the common denominator of 4 and 2 and the common denominator was 4 so you multiply 3/4 by 1 and 1/2 by 2 and that's how you get 1/4
or 0.25

Evaluate 2(11-5)+9÷3

Answers

Answer:

2(11-5)+9÷3 = 15

Step-by-step explanation:

the correct answer is: 15

To Solve:

11 - 5 = 6

6 x 2 = 12

9 / 3 = 3

12 + 3 = 15

The value of the expression is; 15

Evaluation of expressions;

The given expression is; 2(11-5)+9÷3

By first solving the expression within the parenthesis, and then the division operator ; we have;

2(6) + 3

By taking care of the parenthesis; we have;

12 + 3

= 15

Read more on arithmetic expressions;

https://brainly.com/question/6603376

what is the function f(x) = 2(x + 6), find x if f(x) = 22

Answers

Answer:

x = 5

Step-by-step explanation:

f(x) = 2(x + 6)

f(x) = 22

thereofre we have the equation:

2(x + 6) = 22      use distributive property

2x + 12 = 22     subtract 12 from both sides

2x = 10     divide both sides by 2

x = 5

THIS IS MATH IS eASY PLZ SOLVE!!!!!!!!!!!!!!! POINTS HERE WILL GIVE BRAINLIEST!!!!!!!!!!!!

Answers

Answer:

The exact answer is 27 * pi

or the approximate answer is 27 * 3.14 = 84.78

Step-by-step explanation:

First step is to find the area of the circle

A = pi * r^2

A = pi * 6^2

A = 36* pi

We are missing 90  degrees of the circle  or 90 out of 360.

That means we keep 360 - 90 = 270  or 270/360

The fraction we are keeping simplifies to 3/4  (divide top and bottom by 90)

Multiply the area by the fraction that we kept.

36 pi * 3/4 = 27 * pi


The exact answer is 27 * pi

or the approximate answer is 27 * 3.14 = 84.78

Complete the synthetic division below.

Answers

Answer:

The quotient is (x+7)

Step-by-step explanation:

Given the synthetic division problem

2|1    5    -14

we have to complete the synthetic division to find the quotient.

The steps are

Step 1: Set up the synthetic division

Step 2: Bring down the leading coefficient to the last row.

Step 3: Multiply the value which is written on the top left by the value just written on the bottom row.

Step 4: Add the column created in above step.

Step 5: continue until we reached last column.

The synthetic division is shown in attachment.

The quotient is (x+7)

Option D is correct

Write the expression in complete factored form 3c(c+3)-4(c+3)

Answers

3c(c+3)-4(c+3)=3c^2+9c-4c-12=3c^2+5c-12


The expression in complete factored form is (3c - 4)(c + 3)

What is a complete factored form expression ?

A complete factored form is a form of expressing a complex polynomial expression as the products of factors of the polynomial. If we equate the complete factored expression with zero, we get the solutions of the polynomial expression.

Solving the given expression in complete factored form -

The expression given is [tex]3c(c + 3) - 4(c + 3)[/tex]

Expanding the given expression  [tex]3c^{2} + 9c - 4c - 12[/tex]

= [tex]3c^{2} + 5c - 12[/tex]

= [tex]3c^{2} + 9c - 4c - 12[/tex]

= [tex]3c(c + 3) - 4(c + 3)[/tex]

= [tex](3c - 4)(c + 3)[/tex]

Thus the expression in complete factored form is (3c - 4)(c + 3)

To learn more how to write the expression in complete factored form, refer:

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I hope its bigger so u can seeeeeeeeeee!!!

Answers

Answers:

Gabe needs 30 liters of the 50% solution

Gabe needs 30 liters of the 70% solution

Both answers are 30

==================================

Explanation:

We have two beakers, each of which we don't know how much is inside. Let's call this x and y

x = amount of liquid in the first beaker (water+acid)

y = amount of liquid in the second beaker (water+acid)

We're told that the beakers have a 50% solution and a 70% solution of acid. This means that the first beaker has 0.5*x liters of pure acid, and the second beaker has 0.7*y liters of pure acid. In total, there is 0.5x+0.7y liters of pure acid when we combine the two beakers. This is out of x+y = 60 liters total, which we can solve for y to get y = 60-x. We will use y = 60-x later on when it comes to the substitution step

We can divide the total amount of pure acid (0.5x+0.7y liters) over the total amount of solution (x+y = 60) to get the following

(0.5x+0.7y)/(x+y) = (0.5x+0.7y)/60

We want this to be equal to 0.6 because Gabe wants a 60% solution when everything is said and done, so

(0.5x+0.7y)/60 = 0.60

0.5x+0.7y = 0.60*60 .... multiply both sides by 60

0.5x+0.7y = 36

0.5x+0.7( y ) = 36

0.5x+0.7(60-x) = 36 ........ replace y with 60-x (substitution step)

0.5x+0.7(60)+0.7(-x) = 36 .... distribute

0.5x+42-0.7x = 36

-0.2x+42 = 36

-0.2x = 36-42 .... subtract 42 from both sides

-0.2x = -6

x = -6/(-0.2) .... divide both sides by -0.2

x = 30

He needs 30 liters of the 50% solution

Use this x value to find y

y = 60-x

y = 60-30

y = 30

So he needs 30 liters of the 70% solution


On a scale model of a building, 1 4 inch represents 3 8 foot. What length on the model represents 1 foot? ​ 3 32 ​ in. ​ 2 3 ​ in. ​ 1 1 1 ​ in. ​​ ​ 10 2 3 ​ in.

Answers

Answer:

2/3   in

Step-by-step explanation:

We can use ratios to solve this problem.

1/4 inch               x inches

--------------    = ---------------------

3 /8 ft                      1 ft


Using cross products

1/4 * 1 = 3/8 * x

Multiply each side by 8/3 to isolate x

1/4 * 8/3  = 3/8*8/3 x

2/3 = x

3 pounds of peaches cost $6. how many pounds of peaches could be bought for $24. find the algebraic equation

Answers

Answer:


Step-by-step explanation:The algebraic equation is 24/6*3 which will give you 12 pounds


Answer:

Equation

2x = 24


Step-by-step explanation:

3 pounds of peaches cost $6

so each pound = $6/3 = $2

so if you have $24 then $24/ 2 = 12 pounds

Let x = # of pounds of peaches

Equation

2x = 24


Using the number 234.58937 what is the sum of the hundreds digit and the hundredths digit? A) 12 B) 11 C) 10 D) 9 E) 8

Answers

Answer:

b

Step-by-step explanation:

add 3 and 8 = 11

If reyna drives 120 miles at a speed of 60mph how long will it take her to get home

Answers

Answer: 2 hours


Step-by-step explanation:


2 hours since she’s driving at a speed of 60mph.
60x2=120

Given: m∠1 = 140°, find m∠6.
A) 40°
B) 50°
C) 90°
D) 140°

Answers

Answer:

The answer is A

Step-by-step explanation:

When two parallel lines are crossed by another line the angle of 1 will be equal to 4, 5, and 8. The angle 2 will be equal to 3, 6, and 7. Since a straight line has a degree of 180, the subtracted degree of 180-140=40 which would mean 2=40 which 2=6 so 6=40.

Answer:

40°, A

Step-by-step explanation:

What are we going to do to figure out measure 6?

First of all, we know that measure 5 and measure 6 are equal to 180 degrees.

Second of all, we know that measure 1 and measure five are corresponding angles, which means they are congruent. If measure one is 140 degrees, measure 5 would also be 140 degrees.

So we know that measure 5 and measure 6 are equal to 180 degrees. We can now make an equation...

Let x = measure 6

140° + x = 180°           x = 40°

What is the equation of this line
A) y=2x-3
B) y=-1/2x-3
C) y=-2x-3
D) y= 1/2x-3

Answers

Answer:

A) y=2x-3

Step-by-step explanation:

I looked at the first 2 points that were perfectly on the x and y axis, so (3,3) and (5,7). I then put the numbers into their correct spots. When they were plugged in, both of the answers came back correct, so that is the correct equation.

Answer:

A. y=2x-3

Step-by-step explanation:

Since we have it in slope intercept form y=mx+b.  B is our y intercet which we know is -3. Next we can find the slope which rise over run.  This gives up 2 and our answer.

If 100 dollars in one year gain 3 1/2 dollars interest, what sum will gain $38.50 cents in a year and a quarter

Answers

Answer:

10,300?

Step-by-step explanation:


It will be worth 58.13 in one year
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