What are the x- and y-intercepts of the graph of y = x2 + 3x − 10? x-intercepts: (−2, 0) and (5, 0) y-intercept: (0, 10) x-intercepts: (−2, 0) and (−5, 0) y-intercept: (0, 10) x-intercepts: (−2, 0) and (5, 0) y-intercept: (0, −10) x-intercepts: (2, 0) and (−5, 0) y-intercept: (0, −10)

Answers

Answer 1

We have the following function:

[tex]f(x)=x^2+3x-10[/tex]


So, we need to find the x- and y-intercepts of the graph of that function, therefore:


1. x-intercepts

x-intercepts can be found when [tex]y=0[/tex], so:

[tex]0=x^2+3x-10 \\ \\ Using \ Quadratic \ Formula \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ Where: \\ \\ a=1, b=3, c=-10 \\ \\ x=\frac{-3 \pm \sqrt{3^2-4(1)(-10)}}{2(1)} \\ \\ Two \ values: \\ \\ x=2 \ and \ x=-5[/tex]


So, the x-intercepts are:

[tex]\boxed{(2,0) \ and \ (-5, 0)}[/tex]


2. y-intercepts

x-intercepts can be found when [tex]x=0[/tex], so:

[tex]y=(0)^2+3(0)-10 \\ \\ \therefore y=-10[/tex]


So, the y-intercept is:

[tex]\boxed{(0,-10)}[/tex]


_______________________________________

Therefore the right answer is:

x-intercepts: (2, 0) and (−5, 0) y-intercept: (0, −10)


This is indicated in the Figure bellow.

What Are The X- And Y-intercepts Of The Graph Of Y = X2 + 3x 10? X-intercepts: (2, 0) And (5, 0) Y-intercept:
Answer 2

Answer:

2, 0) and (−5, 0)

Step-by-step explanation:


Related Questions

Danny makes $8.75 per hour and works 32 hours per week but 18 percent is withheld from each paycheck for taxes. If Danny's monthly expenses total $595 per month and he is able to save the rest, approximately how much could Joe save in one year?

Answers

the answer should be $4799.20

First we need to find Danny's yearly net income or how much he makes after taxes. $8.75 per hour. He works 32 hours a week. Multiply those together and we get $280 per week. Now divide by seven for daily income. That results in $40 a day. Then multiply by 365 to get $14600 a year. Now to account for taxes. 18% is withheld for taxes which means 82% is not. $14600 multiplied by .82 is $11972, and that's our net income.

Now we need to subtract expenses. $595 a month is the same as $7140 a year. Subtract that from $11972 and we get $4832 left over, and that's our answer.

Four neighborhood children opened their own lemonade stand. The table shows the sales information for each stand, in glasses of lemonade. What was the largest fraction of sales of the stands' inventory?

A. 1⁄2
B. 4⁄7
C. 3⁄4
D. 7⁄12

Answers

Answer:

Option C is the answer.

Step-by-step explanation:

Given that four neighborhood children opened their own lemonade stand. The sales by the four were as follows:

A. 1⁄2

B. 4⁄7

C. 3⁄4

D. 7⁄12

We cannot compare these sales as such since they have different denominators.

To compare we find the Least common denominator for all the four first.

2,7,4,12 have lCD = 12(7) = 84

Now make equivalent fractions for all the four.

A. 1⁄2   = 42/84

B. 4⁄7    = 48/84

C. 3⁄4    = 63/84

D. 7⁄12  = 49/84

Now since denominator is the same we compare and find that

C =63/84 is the largest value.

Hence Option C is the answer.

The scale of a model train is 1 inch to 13.5 ft . One of the model trains is 5 inches long what is the length in feet of the actual train car

Answers

 1 in: 13.5 ft

 x5       x5

5 in : 67.5 ft

Answer: 67.5 ft

Which exponential function is represented by the graph?

A) f(x) = 2(3^x)
B) f(x) = 3(3^x)
C) f(x) = 3(2^x)
D) f(x) = 2(2^x)

Answers

Answer:

C - 3(2^x).

.

What is the value of this expression? (11,982)^0

Answers

The value of the expression 11,982^0, is actually 1! Any number to the power of zero is said to just be one.

Answer: 1


Step-by-step explanation:

Anything to the 0 power is 1, with the exception of 0⁰ = 0

(1,000,000,000)⁰ = 1

[tex](\frac{2}{5})^{0} = 1[/tex]

(0.0012345)⁰ = 1

A movie cost $3,254,107 to produce.What digit is in the hundred thousands place?

Answers

The digit that we have is 3,254,107.

To find out what digits are there at hundred and thousands place we need to find out the digits at the respective places.

From the given digit we can see that (we start counting the places from the right i.e 7)

At units place we have 7

At tens place we have 0

At hundreds place we have 1

At thousands place we have 4

So, we have '1' at hundreds place and we have '4' at thousands place.

How is 10 2/3 written as a decimal to the nearest hundreth?

Answers

How is 10 2/3 written as a decimal to the nearest hundreth?


Answer is 10.2/3 because you round it to the hundreth?

CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!

The square below has an area of 4 - 4x + x^2 square meters.

What expression represents the length of one side of the square?

Side length = ___ meters

Answers

Answer:

(2-x) or (x-2)

Step-by-step explanation:

Given that area of a square is 4-4x+x^2

We know that area of a square = side x side = side ^2

Hence side of a square = square root of area

To find side let us take square root of 4-4x+x^2

This can be written as 4-4x+x^2 = 2^2 -2(2)(x)+x^2

Recall the identity a^2-2ab+b^2 = (a-b)^2

Here a = 2 and b = x

Hence square root can be either 2-x if x<2 or x-2 if x>2

Answer is 2-x or x-2

If their food and bevareges cost 25.30 and their is an 8% meals tax how much is the bill

Answers

25.30 × 0.08 = 2.02 total tax

25.30 + 2.02 = 27.32

Total bill $27.32

3. Subtract 8.263 from 13.48. A. 21.743 B. 5.217 C. 5.783 D. 6.815

Answers

8.263-13.48= -5.217
But
13.48-8.263= 5.217
So if there's no negative answer choices then the answer is B. 5.217 :) hope this helped

Why do the ratios of sine and cosine depend upon the angle being a part of a right triangle?

Answers

Step-by-step explanation:

Think of a right triangle (refer the attached image).  If you increase or decrease the length of  one of its legs, while keeping the other leg the same (the hypotenuse  will increase as well) here we have increased the length of the perpendicular side.  You can see that the *subtending*  angle (the angle which is opposite to the increasing leg, x) gets larger,  while the *adjacent* angle (the angle with the increasing leg as one  of its rays) will decrease.  

and we know that:

[tex]\sin x=\frac{AB}{AC}[/tex] and [tex]\cos x=\frac{BC}{AB}[/tex] in both the cases the variation of AB is causing the angles to change hence, the ratios of sine and cosine depend upon the angle being a part of a right triangle.



An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. The actual size of the bill is 2.61 inches by 6.14 inches. If the billboard is 48 feet wide, what's the scale of the bill to the billboard? A. 1′ = 8.71″ B. 1′ = 7.81″ C. 1″ = 8.71′ D. 1″ = 7.81′

Answers

We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.

We know both data, then we perform the operation:

48 feet /6.14 inches = 7.81 feet / inches .


Therefore the correct answer is option D. 1″ = 7.81′

For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.

Select an equivalent form of this equation: x/12 - 7 = x/4

Answers

Final answer:

To solve the equation x/12 - 7 = x/4, multiply all terms by 12 to eliminate the fractions. Simplify the equation and solve for x by isolating the variable.

Explanation:

To solve for x, we need to find an equivalent form of the given equation. First, let's get rid of the fractions by multiplying all terms by 12 (the common denominator).

After multiplying, we get 12(x/12) - 12(7) = 12(x/4), which simplifies to x - 84 = 3x.

Next, subtract x from both sides of the equation to isolate the variable. This gives us -84 = 2x.

Finally, divide both sides of the equation by 2 to solve for x. The equation becomes -42 = x. Therefore, an equivalent form of the given equation is x = -42.

FOR THE LOVE OF GOD HELP ME PLEASE!!The trinomial x2 – 3x – 4 is represented by the model.


What are the factors of the trinomial?

Answers

( x + 1) and (x - 4)

to factor the trinomial consider the factors of the constant term ( - 4) which sum to give the coefficient of the x-term ( - 3 )

these are - 4 and + 1

x² - 3x - 4 = (x - 4)( x + 1)


the slope of the line below is -3. Use the coordinates of the labeled point to find a point-slope equation of the line

Answers

the answer to the question is a

Answer:

answer is A

Step-by-step explanation:

Why do you multiply the tax and the money 3.38 aren’t you supposed to add

Answers

The tax is simply the percentage of the amount you paid stacked on top of your total to go to the government. So you'd have your total, multiply the tax, and add that amount to your total.

How are rational numbers written as a decimal

Answers

i think it because when you rational X and witten the numer as a decimal hope i right just joke


example is rational number 4 12 then it say add and decimal the answer going to be 4.12



thank you have a nice day

The length of a rectangle is 3 inches more than its width if the perimeter is 42 in find the dimensions of the rectangle

Answers

The problem uses the perimeter formula.  P = 2w + 2l   where w is the width, and l is the length.

We know the length (l) is 3 inches longer than it's width (or l = w+3).  Substitute w +3 into Perimeter equation.

P = 2w + 2(w+3).  That simplifies to P = 4w + 6.

Since P + 42,   we have 42 = 4w +6.  

With some simple algebra we find that w = 9 and l = 12.

Order this set of numbers from least to greatest: 2.51, 2.3, 2.15

Answers

2.15 2.3 2.51 least to greatness
2.51 2.3 2.51hdhjdjdjjd


Evaluate: 4x (x-2)-3x^2 for x=3

Evaluate: 4x^2-3x+2 for x=2

Simplify -(2x+3y)-4(-x-y)

Answers

1.) 12x - 33

2.) 12

3.) -6x + y

Kelly has a spinner with 4 equal sections. She spins it 2 times. How many possible outcomes are in the sample space of the experiment?

Answers

Answer:

4 times 2 equals 8

Step-by-step explanation:

step by step think in your stomach.

Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.

What are Permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Given

Kelly has a spinner with 4 equal sections. She spins it 2 times.

How many possible outcomes are in the sample space of the experiment?

Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.

Let the outcome are (1, 2, 3, 4)

Then all the outcomes are

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

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

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

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

So the total outcome is 16.

More about the permutation and combination link is given below.

https://brainly.com/question/11732255

Ruben bought 6 new book which increased his collection by 12%. How many books did he have?

Answers

The correct answer is 56:)

Answer:

The initial number of books he had=50

The number of books he has after adding new books=56

Step-by-step explanation:

Step 1: Derive formula for percentage increase

The formula for calculating the percentage increase is;

p={(f-i)/i}×100

where;

p=the percentage increase

f=the final number of books he had

i=the initial number of he had

In our case;

p=12%

(f-i)=defines the increase in the number of books=6

i=unknown

Substitute and solve for i;

12%=6/i

(12/100)=6/i

(12/100)×i=6

i=6×100/12

i=50

The initial number of books he had=50

The number of books he has after adding new books=50+6=56

Factor the expression over the complex numbers.

x2+25

Answers

Answer:(x+5i) (x-5i) is the right answer

Final answer:

The expression x^2 + 25 can be factored over the complex numbers as (x + 5i) and (x - 5i). This is achieved using the sum of squares formula a^2 + b^2 = (a + bi)(a - bi).

Explanation:

The expression you are tasked with factoring is x2 + 25.

This is a sum of squares expression and can be factored using the formula a2 + b2 = (a + bi)(a - bi), where 'i' represents the complex numbers.

So, x2 + 25 can be factored as (x + 5i)(x - 5i).

This is because the square root of 25 is 5, and 'i' represents the imaginary number.

So the factors of the expression x2 + 25 over the complex numbers are (x + 5i) and (x - 5i).

Learn more about Factoring Expression Over Complex Numbers here:

https://brainly.com/question/8451673

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What is the range of f(x)?

{ f(x)| –∞ < f(x) < ∞}
{ f(x)| –∞ < f(x) ≤ 4}
{ f(x)| 4 < f(x) < ∞}
{ f(x)| 0 ≤ f(x) < ∞}


Answers

Answer:

best ans is { f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

usually to find the range of a fn, u need to see what the value can be. the graph show only a small range of x values. but u can see f(x) is definitely <  4. so the ans is { f(x)| –∞ < f(x) ≤ 4}


The range of the graph will be (–∞, 4]. Then the correct option is B.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

From the graph, we can conclude that the curve gets saturated at y = 4 and as the value of x approached to infinity, the value of y approach to negative infinity.

The range of the graph will be (–∞, 4].

Then the correct option is B.

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

Solve the equation for y.
1) It is 35°C at your school and 90°F at home. Where is the temperature higher?

Answers

Answer:

It's hotter at school.

Step-by-step explanation:

The formula is (F - 32) x 5/9 = C

So 90F would be about 31 or 32 Celsius.  I would recommend googling conversions like this in the future it's faster that way.

Money that an individual spends is referred to as
A. Investment
B. Liquidity
C. Cash inflow
D. Cash outflow

Answers

Cash outflow I think.

Gilbert has 50 drywall screws. He is purchasing more screws. He can purchase up to 6 boxes of screws. Each box of screws contains 200 screws. He can't purchase partial boxes. The function that models the number screws Gilbert has is f(b)=200b+50 f ( b ) = 200 b + 50 , where b is the number of boxes he purchases. What is the practical domain of the function?

Answers

Answer:

All integers from 1 to 6 inclusive!

Which of the following equations describes a line with an x-intercept of 3? A. x + y = −3 B. x − y = −3 C. x = 3

Answers

the answer is c because if x just equals 3 the its going to go straight through 3
Final answer:

The correct equation which describes a line with an x-intercept of 3 is C. x = 3. This implies a vertical line where the x-value is always 3, regardless of the y-value.

Explanation:

In response to your query about which of the following equations describes a line with an x-intercept of 3, the direct answer is C. x = 3. An x-intercept is the point where a line crosses the x-axis. For an equation to have an x-intercept of 3, it means that when y is 0, x equals 3. By plotting this on a graph, y can be any real number, but x will always stay 3. Therefore, the equation x = 3, which option C represents, is the correct description for a line with an x-intercept of 3.

It's important to note that, in terms of linear equations (generally represented as y = mx + b, where m represents the slope and b represents the y-intercept), x = 3 can be perceived as a vertical line that intersects the x-axis at point 3.

Learn more about x-intercept here:

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There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream. How much more chocolate ice cream is there than vanilla? A. 5⁄24 of a gallon B. 15⁄8 of a gallon C. 1⁄3 of a gallon D. 9⁄24 of a gallon

Answers

There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream.

[tex]\frac{7}{8}[/tex] gallons of chocolate ice-cream

[tex]\frac{2}{3}[/tex]  gallons of vanilla ice-cream

To find how much more chocolate ice cream is there than vanilla

We subtract vanilla from chocolate

[tex]\frac{7}{8} -\frac{2}{3}[/tex]

To subtract fractions we make the denominators same

least common denominator is 24

[tex]\frac{7*3}{8*3} -\frac{2*8}{3*8}[/tex]

[tex]\frac{21}{24} -\frac{16}{24}[/tex]

[tex]\frac{5}{24}[/tex]

[tex]\frac{5}{24}[/tex] of a gallon

A local pet store has a total of 72 fish in 9 tanks. Each tank holds the same number of fish. How many fish are in each tank?

Answers

8. divide 72 by 9 and you get 8

There are eight fish in each tank. Because 72 divided by 9 is 8.

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