please help!
in the equation x^2+12x+32=(x+a)(x+b), b is an integer. find algebraically, all possible values of b.

Answer:  -65

Step-by-step explanation:

96 - y = 161

-y = 161 - 96

-y = 65

y = -65

Kaj bought 3 bananas and 5 apples.

From these three pieces of information, we can set up the following two equations:

We can substitute the third equation into the first equation and get:

y+2 + y = 8

So we know that y = 3

Now we can substitute this value into the second equation and get:

x + 0.5(3) = 8

So we know that x = 5

So Kaj bought 3 bananas and 5 apples.

And also we can substitute y = 3 into the third equation and get:

x = y + 2

So we know that x = 5

So Kaj bought 3 bananas and 5 apples.

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Answer:

Step-by-step explanation:

it B.

just put in the calculator and it gives  you the reduced fraction

Answer:

B. 3/4

Step-by-step explanation:

Find the GCD (or HCF) of the numerator and denominator

GCD of 15 and 20 is 5

Next, divide both the numerator and denominator by the GCD

15 ÷ 5 = 3

20 ÷ 5 = 4

Finally, put them back into a fraction

[tex]\frac{3}{4}[/tex]

Therefore, 15/20 simplified to the lowest terms is 3/4.

Answer:

68

Step-by-step explanation:

this is the answer because 68 is the best answer because it adds up to 122. best answer and corr3ct.

Answer:

42

Step-by-step explanation:

If you use the 1-2-3 ratio for a standard cake it would be three cups of flour for one cake so if you multiply three by 14 you get 42.

I hope this helped☺

Answer:

No solutions mean that the graphs don't intersect. There are two of them in this collection.

Answer:

  A. 78

Step-by-step explanation:

You want the measure of one base angle of an isosceles triangle when it is given as (6x+6)° while angle K is given as 2x°.

You don't need to solve any equations to determine the correct answer choice. You just need to understand the relationship between angles in an isosceles triangle.

The two base angles in an isosceles triangle are congruent, so neither can be more than 90°. (Eliminates choice C.)

The base angle at (6x+6) is more than 3 times angle K at (2x), so the base angle cannot be as little as 12.75. (Eliminates choices B and D.)

The only viable answer choice is A. 78°.

The sum of angles in any triangle is 180°. The two base angles in an isosceles triangle are the same measure, so we have ...

  (6x +6)° +(6x +6)° +2x° = 180°

  14x +12 = 180 . . . . . . . . . . . divide by °, collect terms

  14x = 168 . . . . . . . . . . subtract 12

  x = 12 . . . . . . . . . . divide by 14

  ∠D = (6x +6)° = (6·12 +6)° = 78°

__

Additional comments

We are referring to the angle marked 2x° as "angle K" because Brainly doesn't like the word a.pex to show up in an answer.

We know triangle DKT is isosceles because the sides are marked with a single hash mark. The congruent base angles are opposite the congruent sides.

An altitude from K to segment DT would divide the triangle into two congruent right triangles, each with its half of angle K being x°. Then angles K/2 and T are complementary to that, so you could write ...

  6x +6 +x = 90   ⇒   7x = 84   ⇒   x = 12   ⇒   ∠D = 90° -12° = 78°

Once again, recognition that 6x+6 is somewhat greater than x means that angle D must be somewhat more than 45°. (The larger of two things is always greater than half their sum.)

Answer:

cos

Step-by-step explanation:

its adjacent over hypotenuse

Answer: cos

Step-by-step explanation:

You don't have a value for the side opposite the angle, you only have your hypotenuse and your adjacent side. Hope this helps.

The unit rate of constant means that for every 1 pound, the output is 1.96 dollar.

Proportionality is a relationship between two variables in which their ratio is always equal to a constant value. In mathematical terms, it can be expressed as y = kx, where y and x are the two variables, and k is the constant of proportionality.

A rate is a measure of how one quantity changes in relation to another quantity. It is usually expressed as a ratio and has units of measurement, such as miles per hour, dollars per pound, etc. A unit rate is a rate in which the second quantity is one unit of measurement.

The unit rate of the constant of proportionality is found by dividing the change in y (output) by the change in x (input).

In this case:

$9.8/5$ = $1.96$, so the unit rate of the constant of proportionality is 1.96 pounds/dollar.

It means that for every 1 pound, the output is 1.96 dollar.

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The amount of money more that Key Club still need to earn in order to have reached their target is  $ 382. 50

To find the amount of money needed  by Kay Club to get to their target, first, find the amount of money earned from the bake sale :

= 2 / 5 x Target amount

= 2 / 5 x 1, 700

= $ 680

Then, they did a good sale and earned 3 / 8 of the amount :

= 3 / 8 x 1, 700

= $ 637. 50

The amount of money that Key Club still needs is:

= Total amount - amount raised

= 1, 700 - 680 - 637. 50

= $ 382. 50

In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.

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The polynomial is a mathematical expression containing variables and coefficients and can be written as a sum of terms of various degrees. In this case, the polynomial is composed of three terms of varying degrees: 5x²y, 8xy² and 9. The degree of this polynomial is the highest degree of the terms, which is 4.

1. Identify the terms of the polynomial: 5x²y, 8xy² and 9

2. Identify the degree of each term: 5x²y has degree 3, 8xy² has degree 4 and 9 has degree 0

3. Determine the highest degree among the terms: The highest degree is 4

4. The degree of the polynomial is then the highest degree among the terms, which is 4.

A polynomial is a mathematical expression consisting of variables and coefficients and can be written as a sum of terms of varying degrees. In this case, the polynomial consists of three terms: 5x²y, 8xy² and 9. To determine the degree of the polynomial, we must first identify the degree of each term. The term 5x²y has degree 3, the term 8xy² has degree 4 and the term 9 has degree 0. The degree of the polynomial is then the highest degree among the terms, which is 4. This means that the polynomial has a degree of 4, as the highest degree among its terms is 4. The degree of a polynomial is an important factor in solving equations and other mathematical problems, as it can determine the complexity of the equation.

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It's 36 because f(x)=4 has a y-intercept of 4 and g(x)=2x2-13x+9 has a y-intercept of 9.

Product is a term of muptiplication and 9x4 is 36.

Answer:

B

Step-by-step explanation:

Answer:

1386 ft^2

Step-by-step explanation:

Area of a circle = πr²

Where : = π = pi = 22/7

R = radius  

22/7 x 21^2 = 1386 ft^2

Answer:

y = 2x + 1

Step-by-step explanation:

[tex]\frac{5-3}{-3-1}[/tex] = [tex]\frac{2}{-4}[/tex] = [tex]\frac{1}{-2}[/tex]

Perpendicular slopes are the opposite reciprocals .  So the slope of the line will be 2

slope (m) = 2

y = 3  You could use either point given.  I chose (1,3)

x = 1    From the point given (1,3)

y = mx + b  substitute in what you know and solve for b

3 = (2)(1) + b

3 = 2 + b   Subtract 2 from both sides

1 = b

The y-intercept is 1.

y = mx + b

y = 2x + 1

Total students: 5 + 6 + 2 = 13

Total students fluent or a beginner: 5 + 2 = 7

Probability of picking 1 fluent or beginner = total of fluent or beginner over total students:

7/13

Step-by-step explanation:

Total students:-

➝5+6+2

➝13

E=Number of fluent or beginner students

➝5+2

➝7

➝|E| / |S|

➝7/13

The simplified value of the given expression ⇒ [(-1 / 5 j) + (3 / 4) - 5 / 2j - (7 / 8)] is computed at ⇒ [(-27 / 10 j) - (1/ 5)]

An algebraic expression is one that was created in mathematics by using integer variables, constants, and algebraic operations.

However, since they are not produced by using integer constants and algebraic operations, transcendental numbers like such and e are not algebraic. The production of is commonly stated as a geometric expression, although the definition of e requires an infinite number of algebraic operations. An expression can be reduced to a rational fraction by using the properties of arithmetic operations.

You can write the given expression as:

⇒ (-1 / 5 j) + 3 / 4 - 5 / 2j - 7 / 8

When we simplify the formula and apply the fractional operations to the result, we get:

⇒ (-27 / 10 j) - (1/ 5)

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Answer:

Answer 1

Step-by-step explanation:

Sorry I'm very busy so no step by step

A 95 percent confidence interval for the proportion of the population of voters who are in favor of the bond issue is (0.2301, 0.2759).

(0.2301, 0.2759).

This interval is calculated using the following formula:

(sample proportion - margin of error, sample proportion + margin of error)

Where the sample proportion is the number of favorable voters (100) divided by the sample size (432), and the margin of error is calculated using the standard error and a critical value from a normal distribution table.

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OK. What? First off- what does "will send 90$ mean"? Second- Where and or what are these "Algebra 1 Problems" you speak of?

BTW- if u meant 90 dollars, the dollar sign goes before not after the number: $90. Just saying.

9514 1404 393

Answer:

  C  68.4 cm²

Step-by-step explanation:

The area of the semicircle is given by ...

  A = 1/2π(d/2)^2 = (π/8)d^2

  A = (π/8)(9 cm)^2 ≈ 31.8 cm^2

The area of the trapezoid is given by ...

  A = 1/2(b1 +b2)h

  A = 1/2(9 cm + 5 cm)(4 cm) = 28 cm^2

Then the total area is ...

  31.8 cm^2 +28 cm^2 = 59.8 cm^2

Of the offered choices, 68.4 cm^2 is closest.

Answer:

∠AMB = 54°

Step-by-step explanation:

2x + (x + 9) = 90°

3x + 9° = 90°

3x = 81°

x = 27°

∠AMB = 2x = 54°

Answer:

angle AMB is  54

Step-by-step explanation:

2x+ x+9= 90

simplify and get 27

I put 90 in RHS Because The total equals to 90.

if you want to check your work, Do this-

we have the value of x which is 27

so substitute the values and angle AMB will be 54.

Angle BMC will be 36

add them and should get 90.

Answer:

Step-by-ste63p explanation:

2/3 = 42

1/3 = 42 ÷ 2

     =21

3/3 is 1 min

3/3 = 21 x 3

     = 63

Option D is correct, there are 16 possibilities are in the sample space at the end of the tree diagram

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Cornelio creates a tree diagram to show all possibilities for flipping a coin four times

We need to find the number of  possibilities are in the sample space at the end of the tree diagram

The number of times coin is flipped=4

We can use 2ⁿ to figure out the number of possible outcomes where n is the number of tosses.

Now n=4, so the number of possibilities are 2⁴

2×2×2×2

16

Hence, option D is correct, there are 16 possibilities are in the sample space at the end of the tree diagram

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Answer:

Step-by-step explanation:

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

On solving the provided question, we can say that by equation 60 miles from his home is the appointment

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

for d and t

60 = d/t

45 = d / t + 0.33

60t = d

45( t + 0.33) = d

60t = 45t + 15

t = 1 hour

d = 60 X 1 miles = 60 mile

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Answer:

d

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

The Earth is in a constant state of change. Earth’s crust, called the lithosphere, consists of 15 to 20 moving tectonic plates. The plates can be thought of like pieces of a cracked shell that rest on the hot, molten rock of Earth’s mantle and fit snugly against one another. The heat from radioactive processes within the planet’s interior causes the plates to move, sometimes toward and sometimes away from each other. This movement is called plate motion, or tectonic shift.

Our planet looks very different from the way it did 250 million years ago, when there was only one continent, called Pangaea, and one ocean, called Panthalassa. As Earth’s mantle heated and cooled over many millennia, the outer crust broke up and commenced the plate motion that continues today.

The huge continent eventually broke apart, creating new and ever-changing land masses and oceans. Have you ever noticed how the east coast of South America looks like it would fit neatly into the west coast of Africa? That’s because it did, millions of years before tectonic shift separated the two great continents.

Earth’s land masses move toward and away from each other at an average rate of about 0.6 inch a year. That’s about the rate that human toenails grow! Some regions, such as coastal California, move quite fast in geological terms — almost two inches a year — relative to the more stable interior of the continental United States. At the “seams” where tectonic plates come in contact, the crustal rocks may grind violently against each other, causing earthquakes and volcano eruptions. The relatively fast movement of the tectonic plates under California explains the frequent earthquakes that occur there.

The expected net gain E(X) in the context of this problem is given as follows:

E(X) = -$0.5.

The net gain for this problem is modeled for a discrete distribution, as there are only two possible outcomes, given as follows:

The probability of winning is of 1% = 0.01, while the probability of losing is of 99% = 0.99, hence the distribution of gains for this problem is given as follows:

The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability.

Hence the expected net gain for this game is calculated as follows:

E(X) = -1 x 0.99 + 49 x 0.01.

E(X) = -$0.5.

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