MATHEMATICS MIDDLE SCHOOL

Solve using quadratic formula x^2+8x=7

Answers

Answer 1

Answer:

For this case we have the following quadratic equation:

$x ^ 2 + 8x = 7\nx ^ 2 + 8x-7 = 0$

Where:

$a = 1\nb = 8\nc = -7$

We find the solution by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values we have:

$x = \frac {-8 \pm \sqrt {8 ^ 2-4 (1) (- 7)}} {2 (1)}\nx = \frac {-8 \pm \sqrt {64 + 28}} {2}\nx = \frac {-8 \pm \sqrt {92}} {2}\nx = \frac {-8 \pm \sqrt {2 ^ 2 * 23}} {2}\nx = \frac {-8 \pm2 \sqrt {23}} {2}\nx = -4 \pm \sqrt {23}$

Thus, we have two roots:

$x_ {1} = - 4+ \sqrt {23}\nx_ {2} = - 4- \sqrt {23}$

Answer:

$x_ {1} = - 4+ \sqrt {23}\nx_ {2} = - 4- \sqrt {23}$

Related Questions

For Each Data Set, Determine the median, the first and third Quartiles, and the interquartile Range.1. Texts per day: 24, 53, 38, 12, 31, 19, 26 2. Daily Attendance at the water park: 346, 250, 433, 369, 422, 298 this is 45 points! :D
How many people could read in France in 2000, 2001, 2002, 2013?
members of the math club want to raise more than $552.50 for a trip to a state competition. The club has raised 12% of the funds.The members want to find out how much money, m, they each need to raise to make up the difference. what inequality shows how much money each 7 club members needs to raise if each raises the same amount?
how to find the volume of each sphere, both in terms of \pi and the nearest tenths for r=3 use 3.14 for \p.
if you have a rectangular banner and the length is 44 inches and has a perimeter of 156 inches and an area of 1496 square inches. if i make a similar figure as the original banner with the length of 11 inches what is my perimeter and area?

Select all functions that have a y-intercept of (0,5).f(x)=7(b)^x-2
f(x)=-3(b)^x-5
f(x)=5(b)^x-1
f(x)=-5(b)^x+10
f(x)=2(b)^x+5

Answers

Answer:

$f(x)=7(b)^(x)-2$

$f(x)=-5(b)^(x)+10$

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

Verify each case

case 1) we have

$f(x)=7(b)^(x)-2$

For x=0

$f(0)=7(b)^(0)-2$

$f(0)=7(1)-2=5$

therefore

The function has a y-intercept of (0,5)

case 2) we have

$f(x)=3(b)^(x)-5$

For x=0

$f(0)=3(b)^(0)-5$

$f(0)=3(1)-5=-2$

therefore

The function does not have a y-intercept of (0,5)

case 3) we have

$f(x)=5(b)^(x)-1$

For x=0

$f(0)=5(b)^(0)-1$

$f(0)=5(1)-1=4$

therefore

The function does not have a y-intercept of (0,5)

case 4) we have

$f(x)=-5(b)^(x)+10$

For x=0

$f(0)=-5(b)^(0)+10$

$f(0)=-5(1)+10=5$

therefore

The function has a y-intercept of (0,5)

case 5) we have

$f(x)=2(b)^(x)+5$

For x=0

$f(0)=2(b)^(0)+5$

$f(0)=2(1)+5=7$

therefore

The function does not have a y-intercept of (0,5)

Can someone help me with this???

Answers

Answer:

Step-by-step explanation:

Supplementary angles form a straight line

<DEC is angle 4

Angle 4 and angle 5 make a straight line so they are supplementary

Find the amount of the principal when the simple interest rate is 4.345%, the time is 7 months, and the amount of interest earned is $274.00.

Answers

tis noteworthy that 7 months is not even a year, since there are 12 months in a year then 7 months is really 7/12 of a year.

$\bf ~~~~~~ \textit{Simple Interest Earned} \n\n I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$274\n P=\textit{original amount deposited}\n r=rate\to 4.345\%\to (4.345)/(100)\dotfill &0.04345\n t=years\dotfill &(7)/(12) \end{cases} \n\n\n 274 = P(0.04345)\left( \cfrac{7}{12} \right)\implies \cfrac{274}{(0.04345)(7)/(12)}=P\implies 10810.46\approx P$

What is the value of -|65.6|

Answers

-65.6
Explanation:
The I I signs (forgot how they are called XD) made the number 65.6, but the negative sign outside the I I made the number -65.6

The answer is -65.6 because the negative sign is on the out side of the absolute value signs.

Which expression shows how 6⋅45 can be rewritten using the distributive property?20⋅6+20⋅5
6⋅40+6⋅5
6⋅40+6
6⋅4+6⋅5

Answers

The correct option will be option B.

An expression is given in the question which is , 6 × 45 .

We have to find an expression using the distributive property.

What is the distributive property of addition ?

The distributive property of addition is given by , A × ( B + C ) = A × B + A × C.

As per the question ;

The expression given is = 6 × 45

or we can also write it as ; 6 × ( 40 + 5 )

Let's assume that here , 6 = a , b = 40 and c = 5 .

Using the distributive property we can re-write it as ;

6 × ( 40 + 5 )

which will be equal to ;

6 × 40 + 6 × 5

∴ 6 × ( 40 + 5 ) = 6 × 40 + 6 × 5

Thus , the correct option is option B.

To learn more about distributive property click here ;

brainly.com/question/22332095

#SPJ2

Simple...

remember A(B+C)=A*B+A*C

You have to have a common factor in both terms..(number)..this number would be 6.

So we know it has to have 6 in your answer.

If we plug n chug..:

20*6+20*5=220

6*40+6*5=270

6*40+6=246

6*4+6*5=54

6*45= 270

This being said, 6*40+6*5 is the choice you need.

Thus, your answer.

Which of the following expressions represents "The product of 9 and a number, diminished by 7"?a)9n - 7

b)9n · 7

c)9(n + 7)

Answers

Answer:

a) 9n-7

Step-by-step explanation:

Let the unknown number be represented by placeholder n.

Then the product of 9 and the number is represented by 9*n or 9n.

This value diminished by 7 corresponds to 9n - 7.

So the expression representing the required overall construct mathematically is given by 9n-7

Option b, 9n * 7 represents the product of 9n and 7.

Option c, 9(n+7) represents the product of 9 and (n incremented by 7).

a)9n - 7

B show product of 9 and a number multiplied by a number
C shows the product of number plus 7 and 9

Other Questions

(Use photo ) find the length of the hypotenuse in each right triangle. Please show work and round to the nearest tenth,if necessary.

A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?

Describe the steps you would take to find six divided by three- fourths.

Using coordinate geometry, prove that Quadrilateral MIKE is a Parallelogram: