1. How many real solutions does the quadratic equation x?+9x= -8 have?
Answer:
This quadratic equation has 2 solutions.
Step-by-step explanation:
I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.
We can solve this equation by expressing it in the form: ax² + bx + c
x² + 9x= -8
x² + 9x + 8 = 0
Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.
In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.
x² + 9x + 8 = 0
(x + 8)(x + 1) = 0
For this equation to be true (= 0), x can equal -8 OR -1.
Hence, this quadratic equation has 2 solutions.
Fint the are and perimeter of the shape at the bottom
Answer:
Area: 59.5 ft squared
Perimeter: 31.6 feet
Step-by-step explanation:
Area:
For the area of the square, you're going to use the formula length times width. The length and width are both 7, so you'll do 7 times 7, which is 49. Next, you need to find the area of the triangle. It's a bit more confusing since they give you the hypotenuse (7.6 ft), but they did that to try and trick you. The area of a triangle is length times width divided by two. So, you're going to take the width (3) and multiply it by the length (7). The length is 7 because the length of the square and the triangle are the same since the bottom of the triangle is the same length as the top of the square. Anyway, using the formula, you will do 7 times 3 divided by 2, which is 21 divided by 2, which is 10.5. Add the 10.5 to the 49 we got from the square, and you'll get 59.5 feet squared.
Perimeter:
For the perimeter, you just need to add the side lengths. Starting at the top and going to the right, we can add 7.6+7+7. We don't get the left length, but it's the same as the rest of the square (7) because all sides of a square are equal. So, now we have 7.6+7+7+7, which is 28.6, and we just need the last one which is 3, so the final answer is 31.6 feet.
Answer:
Area: 59.5 ft squared
Perimeter: 31.6 feet
Step-by-step explanation:
what is the greatest common factor of 3/5
Answer:
15
Step-by-step explanation:
3 × 5 = 15
Hope this helped <3
Find the ratio of 2p per gram to £2.12 per kilogram
Answer:
the answer is 1.06
Step-by-step explanation:
Which expression shows the prime factorization of 30?
2 x 3 x 5
3 x 5 x 7
3 x 5 x 5
2 x 2 x 3
Answer:
A
Step-by-step explanation:
because 2x3 equals 6
then 6x5 equals 30
( i did the math for the other ones and its a;)
Jeremy is making a healthy ice cream using only ripe bananas and peanut butter, the recipe makes 4 servings and calls for a ratio of 5
bananas to 3 tablespoons of peanut butter if Jeremy has 30 bananas, how many tablespoons of peanut butter does he need
Tablespoons
Answer:
can u show me a pic of the question so it is easier
The healthy ice cream Jeremy is making has 30 bananas and requires 18 tablespoons of peanut butter.
What is a ratio?The ratio describes the amount of quantity in simplest form, a:b can be written as 'a/b' for convenience.
Given the healthy ice cream, Jeremy is making requires 5 bananas and 3 tablespoons of peanut butter.
From the given question itself, we can conclude that bananas and peanut butter are in direct proportion as the increase in one quantity will result in an increase of another quantity and we can write this in proportion and let the no. of tablespoons of peanut butter requires for 30 banans is x.
∴ 5 : 3 : : 30 : x.
Or
5/3 = 30/x.
5x = 90.
x = 18.
So, Jeremy needs 18 tablespoons of peanut butter for the 30 bananas he has.
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PLEASEEE HELP ME PLEASEE!!
What are the coordinates of the point on the directed line segment from (–9, -7) to
(-2,7) that partitions the segment into a ratio of 3 to 4?
Answer:
Step-by-step explanation:
Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:
x coordinate: [tex]\frac{bx_1+ax_2}{a+b}[/tex] and
y coordinate: [tex]\frac{by_1+ay_2}{a+b}[/tex]
where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:
the x coordinate of the directed point is
[tex]\frac{4(-9)+3(-2)}{7}[/tex] which simplifies down to -6, and
the y coordinate of the directed point is
[tex]\frac{4(-7)+3(7)}{7}[/tex] which simplifies down to -1.
The coordinate of the point is (-6, -1). Write that down so you don't forget it.
The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
To find the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4, we need to use the formula.
[tex]P = ( (4x_2 + 3x_1)/(4+3), (4y_2 + 3y_1)/(4 + 3) )[/tex]
where P is the point we're looking for, (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the segment, and the numbers 4 and 3 come from the ratio 3 to 4.
Plugging in the values.
P = ( (4 x (-2) + 3 x (-9))/(4 + 3), (47 + 3(-7))/(4 + 3) )
Simplifying.
P = (-5, 1)
Therefore,
The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).
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What are the x and y intercept.
Answer:
x-intercept is 6 y-intercept is -3
Step-by-step explanation:
It's really simple to graph it especially if you have something that does it for you however when you graph it-it's pretty clear which ones it is so I suggest graphing it.
The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits is 1 less than the units digit. Find all three-digit numbers that satisfy these conditions.
Answer: The numbers are:
965
875
785
695
Step-by-step explanation:
We have a 3 digit number that can be written as:
a*100 + b*10 + c
Where a, b, and c are single-digit numbers.
a is the hundreds
b is the tens
c is the unit.
We know that:
"The sum of the tens digit and the hundreds digit of a number is three times the units digit."
a + b = 3*c
" 1/5 of the sum of all three digits is 1 less than the units digit."
(a + b + c)/5 = c - 1
Then we have the two conditions:
a + b = 3*c
(a + b + c)/5 = c - 1
From the first one, we can write:
(a + b)/3 = c
Replacing that in the other equation we get:
(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1
(4/3)*(a + b)/5 = (a/3 + b/3) - 1
(4/15)*(a + b) = (a + b)/3 - 1
(4/15)*(a + b) - (a + b)/3 = - 1
-(1/15)*(a + b) = -1
a = 15 - b
Then we can give different values for b, and find the values of a and c, where a and c must be positive.
b = 9
a = 15 - 9 = 6
Then:
c = (9 + 6)/3 = 5
(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).
This number will be:
695.
if b = 8, then:
a = 15 - 8 = 7
and c = 5, same as before.
the number is 785.
If b = 7, then:
a = 15 - 7 = 8
The number is 875
if b = 6, then:
a = 15 - 6 = 9
The number is:
965
Help please points and brainlest!!
Answer:
0.20m + 650 < 755
Step-by-step explanation:
So you know that m is the total amount of miles that he travelled, so the cost of these miles would have been 0.20m. The total also included 650 and it has to be less than 755. Thus the equation would be 0.20m + 650 < 755 which means that the sum of 0.20m (cost of miles) and 650 (night cost) is less than (< means less than something else on the right) 755.
The expression 2x + 3.4 is equal to ? for x =1.6.
Answer:
6.6
Step-by-step explanation:
-3/10h = 15, what is h?
Answer:
-50
Step-by-step explanation:
Jack borrowed $1.50 from his friend Jenna every day for five days last week. What rational number represents how much Jack owed his friend last week?
Answer:
$7.50
Step-by-step explanation:
set up an equation: $ x days = total owed
1.50 x 5 = 7.50
I need help with this question pleaseeee
Answer: 639
Step-by-step explanation:
i might be wrong but that's how i was taught! :)
Please help, I only have 30 minutes left! );
Answer:
(3, -1)
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzzzzzz
Answer:
like what type of help that i could help u
Answer:
I think it might be 6.75x - 19.25 = 80
Step-by-step explanation:
6.75x−19.25=80
Step 1: Add 19.25 to both sides.
6.75x−19.25+19.25=80+19.25
6.75x=99.25
Step 2: Divide both sides by 6.75.
6.75x/6.75 = 99.25/6.75
x=14.703704
which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8
4 -2 5
5 -1 8
this is what it showed in brackets as the correct answer.
The matrix that represents the system of equations 4x-2y=5 and 5x- y=8 is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]
How to determine the matrix?The system of equations is given as:
4x-2y=5
5x- y=8
Remove the variables
x y
4 -2 5
5 -1 8
Represent as a matrix
[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]
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Suppose that 45% of all babies in a particluar hospital are boys. If 8 babies born in the hospital are randomly selected, what is the probability that fewer than 3 of them are boys?
Answer:
3
Step-by-step explanation:
6 − 3.98 what is the answerrrrr
Answer:
2.02
Step-by-step explanation:
also you can do these on just a calculator :D
Find the angle of rotation about the center of the square that maps A to C.
The angle of rotation to map A into C is 180°.
How to find the angle of rotation?The rotation is around the center of the square. Let's assume that the center coincides with the origin of a coordinate axis.
Then we would have A on the second quadrant and C on the fourth quadrant.
Then we need to apply a rotation of two quadrants, remember that each quadrant has an angle of 90°, then a rotation of two quadrants has an angle of 2*90° = 180°.
The correct option is 180°.
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which expresion is equivalent to 2(t - 4) + 1?
Answer:
2t-7 is the only similar expression that's possible unless you have a multiple choice thing to go along with that.
Let me know if you need more help :)
Could I get some help it’s important
Answer: yo plug it into desmos its ez
Step-by-step explanation:
Answer:
plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.
Step-by-step explanation:
The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)
if the temperature drops from 7f to -17f how much did the temperature decrease
Answer:
there was a decrease of 24 degrees.
Step-by-step explanation:
7-24=-17
Answer:
there was a decrease of 24 degrees.
Step-by-step explanation:
7-24=-17
100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis modeled by the graph.
Answer:
Open points on 1 and 3 with ray connecting.
Step-by-step explanation:
Because it's right.
From the graph of the function |(f)| and |(g)|, the interval at which both functions are negative are 1 and 3.
What is a quadratic function?A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the graph of a quadratic function is parabolic because it is u-shaped. From the graph of the function |(f)| and |(g)|, we can deduce that the interval at which both functions are negative are 1 and 3 as shown in the image attached below.
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A chocolate maker melts three blocks of chocolate weighing 5.4 ounces, 6.1 ounces, and 5.7 ounces. If
each truffle takes 0.4 ounces of chocolate, how many truffles can he make?
O A 41
OB. 42
OC. 43
O D. 44
Answer:
43 truffles
Step-by-step explanation:
First add all of the weights together
5.4+6.1+5.7=17.2
Divide the total chocolate by the weight of a truffle
17.2/0.4=43
Answer:
43
Step-by-step explanation:
The sum of two numbers is 22 their difference is 4
Answer:
x=13
Step-by-step explanation:
ok so let x+y=22
--------------------------------------------------------
x and y are the 2 unkown Number
-------------------------------------------
x-y=4
their difference is 4
----------------------------------
add both equations
(x+y=22)
+(x-y=4)
------------------------------
y's cancel out
-----------------------
2x=26
-----------------
x=13
Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $8.66. For Account B, the simple interest eamed after 33 months is $34.65. If the interest rate is 3.3% for Account A and 2.1% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer. Account A has a principal of $. (Round to the nearest dollar as needed.)
Step-by-step explanation:
you have to defend saving account for account a decent wages and after 24 months in 26 is how can be the same creatures and after 30 months 34.6 $5 if the interest rate is 3.0% for accounting and private beach FL County how much is the first create account which account NG the most interesting person explain how the agency has baseball first round to the nearest Dollar is in the car so this guy if you know you know the one you want me to answer you come and tell me stop doing on since that was your own I mean if you have the correct answer you I hate you have to correct question because I can't see the question to answer because I just sold if interested to 2502 I can't see the real question here thank you
A one story house is 2,200 square feet. 40% of the house has a basement. How many square feet is the basement?
Answer:
880 ft²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2,200 ft²
40% (0.4) of the house is basement
Step 2: Evaluate
Set up: 2200(0.4)Multiply: 880Here we see that 880 ft² out of the 2200 ft² would represent the allocated space for the basement.
Answer:
880 square feetStep-by-step explanation:
Full story = 2200 square feet
Basement = 40% of the story
Basement is:
2200*0.4 = 880 square feetok yall i need help and yall kinda no treading the question fully READ ITTTTT, i will give brainleist
Answer:have a wonderful Christmas!
Step-by-step explanation:70+95
70=2*5*7
95=5*19
70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)
5*33=165 and 70+95=165 also
Answer:
The answer is 165, hope this helps.
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).