10. -4x + 7 = 15; -2 and tell whether the given number is a solution of each equation

Answers

Answer 1

Answer:

[tex]x = - \frac{3}{2} [/tex]

Step-by-step explanation:

-4x+7=15-2

subtract number 15-2

-4x+7=13

-4x=13-7

-4x=6

divide

x=-3 over 2


Related Questions

14 out of 22 students surveyed enjoyed playing baseball. If 308 students are surveyed, how many would you expect to say they enjoy playing baseball?

Answers

Answer:

124

Step-by-step explanation:

14 -22=8

8= the number of students that didn't like playing baseball

Somehow 8 = 800%

if you subtract 800%-308 it gives you -124

124 students don't like playing baseball

Which of the following is true of the angle measures in the diagram below.

Answers

Answer:

B

Step-by-step explanation:

Answer:

it's B

Step-by-step explanation:

the sum of two interior angle of a triangle are always equal to the degree of the adjoined angle to the 3 angle

sorry i don't know how to explain this better


Two congruent figures
have the same perimeter.
O sometimes
O Never
O Always

Answers

Answer:

always

Step-by-step explanation:

Miles
Minutes
Martin's running ability is measured by this proportion:
1 3
7 21
1
7
Use the proportion to identify the values of the variables
that complete the rate table
3
21
a =
7
a
b=
CE
b
70
15
c

Answers

Answer:

the answer is

a=49

b=10

c=105

Need all these questions answer plz

Answers

Step-by-step explanation:

1 result(s) found

x  

2

−x−3

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -3.00      

     -2       1        -2.00        6.00      

     -3       1        -3.00        9.00      

     -4       1        -4.00        0.00      x + 4  

     -6       1        -6.00        -78.00      

     -12       1       -12.00       -1224.00      

     1       1        1.00        -15.00      

     2       1        2.00        -6.00      

     3       1        3.00        21.00      

     4       1        4.00        72.00      

     6       1        6.00        270.00      

     12       1        12.00        2064.00      

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3 + 3x2 - 7x - 12  

can be divided with  x + 4  

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3 + 3x2 - 7x - 12  

                             ("Dividend")

By         :    x + 4    ("Divisor")

dividend     x3  +  3x2  -  7x  -  12  

- divisor  * x2     x3  +  4x2          

remainder      -  x2  -  7x  -  12  

- divisor  * -x1      -  x2  -  4x      

remainder          -  3x  -  12  

- divisor  * -3x0          -  3x  -  12  

remainder                0

Quotient :  x2-x-3  Remainder:  0  

Trying to factor by splitting the middle term

2.5     Factoring  x2-x-3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    1    =    -2  

     -1    +    3    =    2  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6    Cancel out  (x+4)  which appears on both sides of the fraction line.

Final result :

 x2 - x - 3

Terms and topics

More Icon

Polynomial root calculator

Polynomial long division

Related links

More Icon

Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division

1890s was rounded to the nearest 10 what is the upper bound ​

Answers

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

(a+b) to the power of two a= -3 and b= 6.

Answers

Answer:

9

Step-by-step explanation:

-3+6 is 3

3*3 is 9

Order these in descending order (greatest to least). 1 is the greatest. 2 is the middle. 3 is the least.

Answers

Answer:

3/20 then 0.015 then 0.15%

Step-by-step explanation:

3/20 then 0.015 then 0.15%

3/20 is 0.15

0.15% is .0015

0.015 is 0.015

PLS help in this questions. Thanks !

Answers

Answer:

D

Step-by-step explanation:

You are given the two sides and the abgle inbetween.

What is the length of a rectangle with width 15 in, and area 93 in 2?

Answers

The length is 6.2 because 93/15 is 6.2

What is the average rates of change of f(x) = x2-5 over the interval [-2,0].

Answers

it’s going to be 4.

since i tried looking it up and it gave me a dum answer heres the real answer since i got it wrong lol
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction a Over 2 h EndFraction minus b 2 equals b 1. – b2 = b1
StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
StartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h

Answers

Answer:

the answer to your question is A and D i just got it right

Step-by-step explanation:

i hope this helps your welcome

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1

StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h

Answer:

A and D

Step-by-step explanation:

correct on edge

Company XYZ has 97 employees. 31 Of the employees are vegetarian, 36 of the employees owns a Nissan Leaf and 6 of the employees are vegetarian and own a Nissan Leaf. If you randomly select an employee from company XYZ, what is the probability that the employee is vegetarian or that she/he owns a Nissan Leaf?

Answers

Answer:  [tex]\dfrac{61}{97}[/tex]

Step-by-step explanation:

Let V = Event of selecting vegetarian employee

N =  Event of selecting employee who owns a Nissan Leaf.

Given: Total employees = 97

n(V) = 31

n(N) = 36

n(N and V) = 6

By formula,

n(N or V) = n(V) + n(V) - n(N and V)

= 31+36-6

=61

By probability formula,

[tex]P(N \ or \ V)=\dfrac{n(N\ or\ V)}{Total }\\\\=\dfrac{61}{97}[/tex]

Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf =  [tex]\dfrac{61}{97}[/tex]

2x-3y=6 How do you get y by itself

Answers

Answer:

[tex]y=\frac{2x-6}{3}[/tex]

Step-by-step explanation:

3y=2x-6

[tex]y=\frac{2x-6}{3}[/tex]

First, you have to move the x, along with the coefficient(2).

To move the 2x, you have to subtract it from both sides.

So you have -3y= 6-2x

Now you have to divide by -3.

DON’T FORGET THE NEGATIVE.

So you have y = -2 +2/3

In slope intercept form

If this helped please mark branliest

Write 9(39) using the Distributive Property. Then simplify.

Answers

9 x 3 = 27
9 x 9 = 81
27+81= 109

What is the slope between (2,-5) and (5, -1)?

Show work pleaseeee

Answers

m= y2-y1/x2-x1
m= -1+5/5-2
m= 4/3

The number of pupils in a school increases by 15% every year. If there are 1058 pupils this year, what was the enrollment last year?

Answers

Hi there

I think I maybe able to help.

Here is my answer:

996

Hope this helps

The sum of three numbers is 36. The first number is two times the second number, and the second number is
four less than the third number. What are the numbers?
o (8, 12, 16)
12<8, 16)
(12, 16,8)
o (16, 8, 12)

Please help out

Answers

Answer:

o (16, 8, 12)

Step-by-step explanation:

1st number: 8*2 =16

2nd number:12-4=8

3rd number: given

Answer:

16,8,12

Step-by-step explanation:

its 16,8,12 because:

8x2=16

12-4=8

youre welcome

Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²

Answers

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

Jeremy bought a 5-kilogram can of peanuts for $4.50. What is the unit price?

Answers

Answer:

$0.90

Step-by-step explanation:

you would divide it by 5

$4.50/5=$0.90

hope this helps

brainliest?

6. One of Mollie's favorite toys is a set of hollow rectangular plastic blocks that can be filled with water to use as bath toys. The red block has dimensions 4 1/4 inches by 6 1/4 inches by 5 1/4 inches. Which represents the volume of the red block? Select all that apply. a. 30 cubic inches b. 2,231 and 1/4 cubic inches c. 139 and 29/64 cubic inches d. 557 cubic inches e. (17/4) (25/4) (21/4) cubic inches f. 8,925/64 cubic inches

Answers

Answer:

Option c. is correct

Step-by-step explanation:

Given: The red rectangular block has dimensions [tex]4\frac{1}{4}[/tex] inches by [tex]6\frac{1}{4}[/tex] inches by [tex]5\frac{1}{4}[/tex] inches.

To find: volume of the red block

Solution:

Volume of the rectangular box = length × breadth × height

First convert [tex]4\frac{1}{4}[/tex], [tex]6\frac{1}{4}[/tex] and [tex]5\frac{1}{4}[/tex] inches into improper fractions.

[tex]4\frac{1}{4}=\frac{17}{4} \\6\frac{1}{4}=\frac{25}{4} \\5\frac{1}{4} =\frac{21}{4}[/tex]

So,

Volume of the rectangular box [tex]=4\frac{1}{4} (6\frac{1}{4})(5\frac{1}{4} )=\frac{17}{4}(\frac{25}{4})(\frac{21}{4} )=\frac{8925}{64}=139\frac{29}{64}[/tex] cubic inches

3(q − 16) + –8 = –14

Answers

Answer:

q = 14

Step-by-step explanation:

3 (q - 16) + -8 = -14

3q - 48 + -8 = -14

3q - 56 = -14

    +56     +56

3q = 42

/3.      /3

q = 14

hope this helps :)

Rachel needs to know if the triangle shown is a right triangle. Which equation could he use to help? 36 25 49 (triangle)
A. 136 + 25 = 49
B. 25 + 36 = 49
C. 252 + 362 = 492
D. 362-252 = 492​

Answers

a^2+b^2=c^2
36^2+25^2=49^2
Answer is A

At a fabric store, fabrics are sold by the yard. { x + y = 5 ) (17x + 4y = 46) A dressmaker spent $46 on 5 yards of silk and cotton fabrics for a dress. Silk is $17 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. Find the solution to the system of equations. Write it as an ordered pair below. Use the graphing calculator on the next screen to help. Enter each equation on a separate line on the left-hand side to see their graphs. 46x + 5y = 46​

Answers

Answer:

The dressmaker bought 3 yard of cotter and 2 yards of silk

Step-by-step explanation:

So what you do it just put those equations into a graphing calculator and the point where they intersect is your answer

if 2^6=y^3 what is y?​

Answers

this is the answer that i got

Answer:

y=4

Step-by-step explanation:

simplify 2^6 --> 64

find the cube root of 64,

y=4

SOLVE PLS I WILL GIVE BRAINIEST AND 5 STARS

Solve for b:

  3.5b + (-8) = (-6.25b) - 6.5

Solve for x:
 
-5x + 3 > (-7x) - 12

Answers

Answer:

1)b=0.153846

2)x > -15/2

Step-by-step explanation:

I used this site called math-

way

Write , or = to make the statement true. 9.008 ___ 9.08

Answers

Answer:

9.008 < 9.08

Step-by-step explanation:

9.08 is greater because you compare the number 9 and 9 are the same, 0 and 0 still the same, but then 0 and 8 you know eight is greater. was this helpful enough

Problem 11. *
11. Grace has $6 to buy a gallon of milk and some apples. The gallon of milk costs $3.59 and the apples
cost $0.60 each. Which inequality could she use to find out how many apples she can buy?
A) 6 2 0.6x + 3.59
B) 6 S 0.6x + 3.59
C) 6 S 0.6x - 3.59
D) 6 2 0.6x - 3.59

Answers

Answer:

Step-by-step explanation:

a

A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s

Answers

Answer: 7.07 m/s

Step-by-step explanation:

I took the quiz and that was the correct answer 5 is wrong

The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).

What is Proportionality?

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The present speed of the dog is 10 m/s.

Suppose the mass of the dog be m kg.

Since, the kinetic energy of an object is given as K = 1/2mv².

As per the question, the following expression can be written,

Initial energy, K₁ = 1/2m × 10²

                           = 50m

Final energy, K₂ = K₁/2

                           = 50m/2

                           = 25m

Using the expression for kinetic energy,

1/2mv² = 25m

=> v² = 50

=> v = √50

       = 7.07

Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.

To know more about proportionality click on,

brainly.com/question/22620356

#SPJ2

Evaluate each expression.
2(5) + 3(4+ 3) =

Answers

Answer:

Step-by-step explanation:

10 + 3(7)

10 + 21

= 31

Answer:

31

Step-by-step explanation:

You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.

B- bracketsO- ofD- DivisionM- multiplicationA- additionS- subtraction

2(5) + 3(4+3)

= 10 + 3(7)

= 10 + 21

=31

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