Consider this quadratic equation.
x + 2x + 7 = 21
The number of positive solutions to this equation is ____
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is _____

Answers

Answer 1

Answer:

1 solution

2.88

Step-by-step explanation:

Consider this quadratic equation.

x ^2+ 2x + 7 = 21

Subtract 7 from both sides

x ^2+ 2x + 7 -7= 21-7

x^2+2x = 14

x^2+2x -14 = 0

Factorize

x = -2±√2²-4(-14)/2

x= -2±√4+56/2

x = -2±√60/2

x = -2±7.75/2

x = -2-7.75/2 and -2+7.75/2

x = -9.75/2 and 5.75/2

x = -4.88 and 2.88

Hence there are 1 number of positive solution

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is 2.88

Answer 2

Answer:

The number of positive solutions to this equation is

1

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is

2.87

Step-by-step explanation:


Related Questions

Mn bisects jl at k if jk= x-3 and kl=13-3x

Answers

Answer:

138

Step-by-step explanation:

a number has the same digit in it's hundreds place and it's hundredths place. How many times greater is the value of the digit in the hundredths place than the value of the digit in the hundredths place?​

Answers

Answer:

3 times

Step-by-step explanation:

BEST GETS BRAINLIEST +THANKS +POINT PLS HELP

Answers

The answer is C
You’re welcome

Factor each completely! NEED THIS ASAP!

Answers

Answer:

4) k(7k+9)

5) (x+5)(x-5)

Step-by-step explanation:

4) k(7k+9)

5) (x+5)(x-5)

Which of the following trigonometric functions would you use to find the value of x?

a. cos
b. tan
c. sin

Answers

the answer is c. sin
You would use tangent (opposite/adjacent) because the opposite side is 4 and the adjacent side is x

tan(41) = 4/x
4 * tan(41) = x
3.48 = x

is (-2,-4) a solution of the graphed inequality?

Answers

Answer:

Yes

Step-by-step explanation:

The inequality is y<-3x+4

If you plug in (-2, -4), you get:

-4<-3(-2)+4

-4<10

So the point satisfies the equation.

solve y = -25x + 600

Answers

Answer:

[tex]-\frac{y}{25} +24[/tex]

Step-by-step explanation:

.

Express as a trinomial (x + 3)(3x + 3)

Answers

The answer is 3x^2 + 12x + 9

Answer:

3x^2 + 12x + 9

Step-by-step explanation:

3x • x + 3x • 3 + 3 • x + 3 • 3

Let f be a function for a recursive sequence where the rule f(n + 1) = f(n) + f(n – 1)determines the (n + 1)th term. Given this and the first two terms of the sequence, select each number that is also a term of the sequence.
1,1,...

A.2
B.3
C.4
D.5
E.7
F.9
G.12
H.17
I.21

Answers

Answer:

h because

Step-by-step explanation:

Ava poured 3 gallons of paint equally into 5 cans. How many gallons of paint will there be in each can

Answers

Answer:

0.6 gallons/can

Step-by-step explanation:

Simply divide the gallons of paint by the number of cans:

[tex]\frac{3-gallons-of-paint}{5-cans}[/tex] = 0.6 gallons/can

Answer:

0.6 is the correct answer

I just need help on the problem.

Answers

Answer:

choice #2) 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

When f (x axis) is 6, look at the y intercept and the value is 2

How can you tell if a graph is function or not​

Answers

Answer:

If the vertical line intersects the graph in at most one point, then the given graph represents a function. If the vertical line intersects the graph in more than one point, then the given graph does not represent a function.

I HOPE IT HELPS

TAKE CARE

Step-by-step explanation:

Answer:

Step-by-step explanation:

For a graph to be a function, there must not be more than one element in the range for each element of the domain.

If x represents the doman, and y represents the range (as usual, in graphing) then each value on the the x-axis should not have more than one point in the graph on it, directly above it, or directly below it. Like if you had a point (5, 7) and also had point (5, -7), that is not a function. The x, 5, has more than one y-value  paired with it.

Visually, any vertical line through the graph should not intersect the graph at more than one point. If it does, then the graph is not a function.

This is called the vertical line test.

I have attached a graphic.

uppose that a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice. What is the probability that the sum of the two rolls equals 5

Answers

Answer:

1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Die with 8 sides

This means that the total number of outcomes is [tex]T = 8^2 = 64[/tex]

Outcomes in which the sum of the two rolls is 5:

(1,4), (4,1), (2,3), (3,2)

4 desired outcomes, so [tex]D = 4[/tex]

What is the probability that the sum of the two rolls equals 5?

[tex]p = \frac{D}{T} = \frac{4}{64} = 0.0625[/tex]

1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.

The probability that the sum of the two rolls equals 5 is 1/16

What is probability

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice, the total outcome will be:

Total outcome = 8^2

Total outcome = 64

For the sum of two rolls, the expected outcome will be:

E = {(1, 4), (4, 1), (3, 2), (2, 3)}

n(E) = 4

Pr(sum of the two rolls is 5) = 4/64

Pr(sum of the two rolls is 5) = 1/16

Hence the probability that the sum of the two rolls equals 5 is 1/16

Learn more on probability here; https://brainly.com/question/24756209

Lucy has 18 pencils. Lucy has 2 more than 4 times the
pencils that Alex has. How many pencils does Alex
have?

Answers

Answer:

Alex has a pathetic 4 pencils, everybody laugh at Alex, Lucy supremacy!

Step-by-step explanation:

Answer choices:

–7
–12
0

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Graphs and plots,

since the given equation is a parabolic equation graph, hence we substitute every value to get the value of variable y.

1.) if x = -5 ,then 25-30-7 => y = -12

2.) if x = -1 , then 1-6-7 => y = -12

3.) if x = -6 , then 36 -36 -7=> y = -7

4.) if x = 0 , then 0+0-7 => y = -7

hence all values are proved above

Solve for x: 3 (x - 3) + 8x = 5(2x + 1)​

Answers

Answer:

x = 14

Step-by-step explanation:

3 (x - 3) + 8x = 5 (2x + 1)​

FOIL: 3x - 9 + 8x = 10x +5

Move all the x terms to one side and all the constants to the other:

3x + 8x - 10x = 5 + 9

Combine like terms: x = 14

Rick buys a remote control car for $25.00 what is his selling price. Markup 19%

Answers

Answer:

The selling price is $29.75

Step-by-step explanation:

19% of 25 is 4.75. So you would need to add the 4.74 to the $25 for the sale price.

Hope this helped :)

If it did please leave a good rating :)

Carlos answered 122 questions correctly on his multiple-choice science final and earned a grade of 61%. How many total questions were on the final exam?

Answers

Answer:

200

Step-by-step explanation:

122 is 61%. Of 200

fill in the table of values for the equation y = 2x - 3

Answers

Answer:

x:0 y: 3

x: 1 y: -1

x: 2 y: 1

Step-by-step explanation:

The coordinates of line is (0, -3), (1, -1) and (2, 1)

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y = 2x - 3

Now, putting x=0

y= -3

and, x= 1

y= 2(1)-3

y = -1

and, x= 2

y=2 (2)- 3

y = 1

Hence, the coordinates of line is (0, -3), (1, -1) and (2, 1)

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ2

Quick 2 mins tell due 500÷30+200 decimal answer needed​

Answers

[tex]500/30+200=16.\bar{6}+200=216.\bar{6}[/tex]

1695 concert tickets were sold for a total of $11.190. If students paid $5 and nonstudents paid $8, how many student tickets were sold? ​

Answers

x- students, y-non students

x+y=1695
5x+8y=11,190

8x+8y=13560
5x+8y=11,190

3x= 2370

x= 790

Answer: 790 student tickets
I agree with the person on top have a beautiful day:)

Can someone help me with my ela assignments plss I need a good grade I’ll pay u 20$ if it’s right

Answers

umm... sure but like where's the question?

Can someone please help me with this

Answers

sorry but where is Elisa's explanation???

Graph the inequality x-2y>4

Answers

Answer:

The answer is y < −2 + x/2 and the graph above if that's what ur looking for.

18 The sides of an isosceles triangle are measured correct to the nearest millimetre.
One side has a length of 8.2 cm and another has a length of 9.4 cm.
Find the largest possible value of the perimeter of this triangle.​

Answers

Answer:

Step-by-step explanation:

largest perimeter=9.4+9.4+8.2=27.0 cm

or it can be  one side=82.4 mm

other sides =94.4 mm

largest perimeter=94.4+94.4+82.4=271.2 mm=27.12 cm

Annabelle just answered a help-wanted ad. The ad states that the job
pays $48K annually. What would Annabelle's monthly salary be if she gets
this job?

Answers

Answer:

$4,000

Step-by-step explanation:

$48,000 ÷ 12 months = 4,000

Carissa has a 30-year, 5.75% mortgage on her $250,000 home. She has been
paying on it for 5 years, and has recently hit some financial trouble. If her
lender agreed to lower the interest rate on her $231,905.47 balance to 5.25%,
what will her new payment be for the remainder of the loan?
A. $1389.69
B. $1333.09
C. $1330.20
D. $1432.09

Answers

Answer:

A. $1389.69

Step-by-step explanation:

To calculate the new monthly mortgage payment that Carissa will start paying going forward, we use the formula for calculating monthly mortgage payments.

The formula is:- M = P { [r ( 1+ r)^n] ÷ [ ( (1+r)^n) -1] }

Here, M is the monthly mortgage payment.

P is the principal

r is the monthly interest rate calculated by dividing your annual interest rate by 12

n is the number of payments(the number of months you will be paying the loan).

Hence, the new principal that Carissa must payback is $231,905.47¢.

The annual interest rate has been reduced to 5.25% from 5.75%.

Therefore, the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

= 5.25%/2

= 0.438%

This is the new monthly interest rate.

Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

300 is, therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage are now complete.

P = $231,905.47¢

r = 0.4375%

n = 300

M = 231,905.47 { [0.004375 (1+0.004375) ^300] ÷ [ ( (1+0.004375) ^ 300 ) - 1] }

= 231,905.47 { [ 0.004375 (3.7048) ] ÷ (2.7048) }

= 231,905.47 × 0.005992

M = $1,389.69

Therefore her new monthly mortgage payment will become $1,389.69

Answer: $1389.69

Step-by-step explanation:

James bought 6 cupcakes and a pint of ice cream. He knows his total bill and the pint of ice cream was $5.76, but
he wants to find the price of the cupcakes. How can he determine the price of each cupcake? If the total bill was
$22.26, how much was each cupcake?

Answers

Answer:

Each cupcake was $2.75

Step-by-step explanation:

We subtract the price of the ice cream from the total bill $22.26-$5.76=$16.50

We know he only bought the ice cream and cupcakes so once we subtracted the price of the ice cream, we now have the price of the cupcakes all together only

We divide the price of all the cupcakes by the amount of cupcakes to get the price of each individual cupcake $16.50/6=$2.75

Zoe, with 7 yellow aliens
and 5 blue spiders scored 85 points: James, with 6 yellow aliens and 11 blue spiders scored 93 points.
Hal had 8 yellow aliens and 1 blue spider.
How many points did Hal score?

Answers

83:)
An alien is worth 10 points and a spider is worth 3!
It’s easily worked out with simultaneous equations!

the width of a rectangle is half its length. the perimeter is 36 inches. whar are the dimensions of the rectangle

Answers

Width of a rectangle is half its length:
2w = l
Perimeter is 36
2w + 2l = 36

Plug first equation into second (substitution)

2w + 2(2w) = 36
2w + 4w = 36
6w = 36
w = 6

Plug back into first equation to solve for l

2(6) = 12 = l
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