1. Two numbers, which differ by 3, have a product of 88.
Find them.​

Answers

Answer 1

Answer:

Let x be one of the numbers

then since they differ by 3... Let (x-3) be the 2nd Number

Their product is 88

(x-3)x = 88

x²-3x =88

x² - 3x - 88=0

Solving The quadratic eqn

x=11 or x = -8.

To check this answer

since the Numbers are x and x-3

x= 11

x-3 = 11 - 3 = 8

(x-3)x = 8x11 = 88.

Or When x=-8

(x-3) = -8 - 3 = -11

x= -8

(x-3)x = -8 x - 11 = 88.

Have a great day!

Answer 2

Answer:

First Set: [11, 8], Second Set: [-8, -11]

Step-by-step explanation:

The first number will be x. The second number is x-3. So now make an equation: x(x-3)=88 because their product equals 88. So now solve.

Solving:

[tex](x)(x-3)=88[/tex]

[tex]x^{2}-3x-88=0[/tex]

Now you can factor:

[tex](x-11)(x+8)=0[/tex]

[tex]x=11, x=-8[/tex]

Now plug in each number for x for the following equation:

[tex](x)(x-3)=88[/tex]

[tex](11)(11-3)=88[/tex]

[tex]88=88[/tex]

This is true.

[tex](-8)(-8-3)=88[/tex]

[tex]88=88[/tex]

This is true.

Both are true. So now you have two sets of answers.

Your welcome!


Related Questions

Solve for x in the equation

Answers

Answer:

[tex] {x}^{2} + 2x + 1 = 17 \\ {x}^{2} + 2x - 16 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 2± \sqrt{68} }{2} \\ x = \frac{ - 2±2 \sqrt{17} }{2 } \\ x = - 1± \sqrt{17} [/tex]

A-container holds 6 cups of yogurt the nutrion label reads that a serving size is 1/3 cups how many servings are in the cointaner

Answers

Answer:

1/3 = 1 serving

2/3 =2 servings

1 cup= 3 servings

so if one cup is 3 servings we can multiply 3 x 6 for an answer of 18 servings

Is Q the midpoint of line segment PR? Justify your answer with numbers and words.

Answers

Answer:

[tex]5x+8x+10-3=72\\13x=65\\x=5\\reapplying\\5(x+2)=5*7=35\neq (\frac{72}{2}=36 )[/tex]

No it's not the Midpoint

Please help, it's timed!

Answers

Step-by-step explanation:

Its C

Angle measurements 110 degree help find out the balance at the top

Answers

Answer: 70 degrees because 180-110= 70. Hope this helps

Step-by-step explanation:

Solve for x: log(2x) + log3 = 5

Answers

Answer:2/3

Step-by-step explanation:

Answer:

X=50000/3 for x>0

Step-by-step explanation:

First get rid of log (3), toss it over exuation sign.

Then calculate the formula for double angle (sin 2x = sin²X + sin(X) x cos (X) + cos²X)

After you do that you should be able to divide everything with cos²X and get polynomial exuation which is solved by substitution method (you'll get tan and then switch it for lets say letter: t

If d(x) = x2 - 7x - 7, find d(x - 1).​

Answers

Answer: x^2-9x+1

Step-by-step explanation:

x^2-7x-7 d(x-1)

(you would just replace x to (x-1)

(x-1)^2-7(x-1)-7

(solve by square rooting (x-1)(x-1) then foil)

x^2-9x+1

Simplify the expression 3 (9+ 4z - 5) ​

Answers

Answer:

12x+12

Step-by-step explanation:

Multiply 3 to everything in the parenthesis

so it becomes

18+12x-15

=12x+12

Solve using square roots no links plz.

Answers

Discriminant: 24
Solutions: x=−3± the square root of 6

need help pls. will mark brainliest

Answers

C=6
move the constant to the right c-5=1 now calculate c=1+5


what is the probability of rolling a number that is greater than 4 on a number cube?
a.) 1/6
b.) 1/3
c.) 1/2
d.) 2/3

Answers

its is b! this is because there are 2 number that are greater than 4, so you do 2/6, which is 1/3. could i please have brainliest, i just need one more to level up!
Answer:  B) 1/3

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

Explanation:

E = event space = {5,6}

The event space represents the set of all things we want to happen: namely rolling a 5 or a 6, since they are larger than 4.

S = sample space = {1,2,3,4,5,6}

The sample space is the set of all possible outcomes, whether we want them to happen or not. We have 6 possible outcomes.

Divide the number of items in each set

n(E) = 2

n(S) = 6

probability = n(E)/n(S) = 2/6 = 1/3

There's a 1 in 3 chance of rolling a number greater than 4.

i need the answer. (will give brainliest to first answer)

Answers

Answer:

[tex]\overline{PO}\cong \overline{SO}[/tex]

Step-by-step explanation:

SAS (Side-Angle-Side) is a proof of congruence for two triangles. It states that when two triangles share two sides and the angle between them, they are congruent. Therefore, if PO and SO are proven to be congruent, the two triangles in the figure will share two sides and the angle between them, thus being congruent.

how do you find x in this? I need help asap!!​

Answers

Answer:

Step-by-step explanation:

According to the theorem, the angle measuring 110 is one-half the measure of the arc it intercepts. That means that the major arc (this arc of which I'm speaking) measures 110 * 2 = 220.

Since the outside of a circle, regardless of how big or small the circle is, has a degree measure of 360, then x = 360 - 220 so

x = 140°

subtract 8x-8y+9 from 5x-8y-z

Answers

The answer is 3x+z+9 hope this helps

Eddie bought 3 train tickets 17.00 each. If he paid with three $20 bills, how much change did Eddie receive?

Answers

Answer:

Step-by-step explanation:

Think of it as if he paid for each ticket with one $20 bill.

He gets $3 change from each one so his total change is $(

Solve the system of equations. Write you answer as an ordered pair.

X - 3y = -13

3x + 7y = 25​

Answers

Answer:

Step-by-step explanation:

x - 3y = -13

x = -13 + 3y

3 * (-13 + 3y) + 7y = 25

-39 + 9y + 7y = 25

16y = 64

y = 4

3x + 7 * 4 = 25

3x = -3

x = -1

Answer: (-1, 4)

$2000 at 9% for 1 year

Answers

Answer:

$180

Step-by-step explanation:

9% = 0.09

2000 * 0.09 = 180

Find the area. Round to the nearest hundredths if necessary.

Answers

Answer:

12.25π + 77, or approximately 114.48.

Step-by-step explanation:

We can divide the figure into two semicircles (which equal to one circle) and a rectangle. We know that the diameter of the circles is 7, which means the radius is 3.5. Since all points on the circle are equidistant from the center point, we can subtract 18 - 3.5 - 3.5 = 11. Therefore, the dimensions of the rectangle are 11 x 7, which means the area of the rectangle is 77. The formula for the area of a circle is πr^2. There are two semicircles, which means the sum of them both will equal one circle, since they have the same radius. The sum of the areas of the two semicircles equate to 12.25π. The area of the figure is 12.25 + 77, or approximately 114.48.

Mrs. Newcomer went to Giant for groceries. She paid $6 for 2 pounds of grapes.
How much would 7 pounds of grapes cost?

Answers

it would cost $21 because each pound is $3. So 7 pounds x $3 = $21 for 7 pounds
$21.00

Explanation:
1.) Find the unit rate of dollars per pound:
$6 divided by 2 = $3
Unit rate is $3 per pound of grapes

2.) Multiply the unit rate per pound by 7 pounds of grapes:
$3 x 7 = 21

So she will pay 21$ for 7 pounds of grapes.

Brajnliest would be nice!


Gillian swears her computations for the
following equations prove they do not
intersect. Her brother who just finished
learning about intersecting lines told her they
definitely intersect because the slopes are
different. Gillian remembered that logic from
class and then decided she needed to be able
to prove intersection by using algebra.
Although there are multiple strategies, how
might she prove intersection without graphing
of the following equations?
4x +3y = 6 and 6x + 2y = 10

Answers

Step-by-step explanation:

Given

Two lines are [tex]4x+3y=6[/tex] and [tex]6x+2y=10[/tex]

Two lines [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex] will intersect when

[tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex]

for the given lines

[tex]a_1=4,a_2=6,b_1=3,b_2=2[/tex]

[tex]\therefore \dfrac{4}{6}\neq \dfrac{3}{2}\\\\\dfrac{2}{3}\neq\dfrac{3}{2}[/tex]

Hence, lines are intersecting

Please help me out I really need theese answers

Answers

Answer:

b

Step-by-step explanation:

How many marble do you need to balance to scale

A. 4

B. 3

C. 2

D. 1

Answers

Answer: its B.

Step-by-step explanation:

have a good day hope this help

Answer:

B.3

Step-by-step explanation:

just divide 6 by 2

Rearrange so that there is no zero or negative exponent. 2m^0 n^-4

Answers

Answer:

2/n^4

Step-by-step explanation:

Anything to the zero power will become 1 so the m^0 will be 1 and that leaves just 2 in its place. Anything to a negative exponent is equal to its reciprocal so n^-1= 1/n^4. Then you multiple what remains, (2 x 1/n^4) to get the above answer.

Answer:

Step-by-step explanation:

2m^0*n^-4

=2*1*1/n^4

=2/n^4

Note:Any base that has it's power 0 is always considered as one .

If any base has negative exponent transfer that pase to the denominator then its power will be positive. For exanple:

4^-x

=[tex]\frac{1}{4^x}[/tex]

draw and label a line a line segment a ray and an angle

Answers

Answer and Step-by-step explanation:

Everything is in the picture.

Lines are forever, so they have an arrow at each end.

Line segments have a dot at each end, so they don't go on forever.

A ray has a dot on one end and an arrow on the other, so one side goes on forever.

An angle can be acute, right, or obtuse.

#teamtrees #PAW (Plant And Water)

helpppp meee pleaseeeeewee

Answers

We can't see what you are talking about. send another one.

15 point question!
Hi can you help? Thanks! *if you are gonna answer, actually answer please!*
Brainly if you get it right!

Answers

Answer:

The answer is 129

Step-by-step explanation:

5(exponent 4)/5 = 125 +4 equals 129

I think

Answer:

129

Step-by-step explanation:

5^4 / 5   + 4

We know that a^b / a^c = a^(b-c)

5^(4-1) +5

5^3 +4

125 +4

129

what is the range of the data below​

Answers

You need to provide a picture of the data or else nobody can solve it.

Answer:

u need to provide data where is data

in a math final please help asap

find the angle r show ur work

Answers

Answer:

The measure of angle R is 112 degrees

Step-by-step explanation:

Using the given markings, we can see that we have an isosceles triangle

so RT is also 3x-2

Mathematically, the sum of the interior angles of a triangle is 180:

Thus;

9x + 4 + (3x-2) + (3x-2) = 180

9x + 3x +3x + 4-2-2 = 180

15x = 180

x = 180/15

x = 12

Recall; Angle R is 9x + 4

= 9(12) + 4 = 108 + 4 = 112

Can someone help me? It's urgent and thank you!

Answers

Answer:

35 or A

Step-by-step explanation:

This is a combinations problem because the order doesn't matter (it's a council, not like president and v.p.). C(7, 3) is 7!/(4!*3!) = 7*6*5/3*2 = 35. Hope this helps! :)

Which value cannot represent the probability of an event occurring

Answers

Answer:

zero

Step-by-step explanation:

everything is theoretically possible

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