Answer:
x = 2x = -5Step-by-step explanation:
[tex]x^{2} + 3x - 10 = 0\\a *c = 1*-10=-10\\Find-factors-when-they- are -added= 3x -and-when-multiplied=-10\\Factors = -2x, and 5x\\x^{2} -2x+5x-10=0\\x(x-2)+5(x-2)=0\\(x-2)(x+5)=0\\(x-2)=0 ,or, (x+5)=0\\x = 0+2 , or, x =0-5\\x = 2 \\x =- 5[/tex]
The solutions to the given quadratic equation x² + 3x - 10 = 0 are x = 2 and x = -5.
The quadratic equation is given as follows:
x² + 3x - 10 = 0
To solve the equation x² + 3x - 10 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the equation in the form ax² + bx + c.
Here, a = 1, b = 3, and c = -10, so we have:
x = (-3 ± √(3² - 4(1)(-10))) / 2(1)
x = (-3 ± √(49)) / 2
x = (-3 ± 7) / 2
So, the solutions are:
x = (-3 + 7) / 2 = 2
x = (-3 - 7) / 2 = -5
Therefore, the solutions to the equation x² + 3x - 10 = 0 are x = 2 and x = -5.
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Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles.A person draws one marble from each bag.Find the probability that both marbles are white.
Answer:
There is a 9 out of 14 chance that the marble will be white or there is a 3 out of 5 chance along with a 6 out of 9 chance.
Step-by-step explanation:
Since there's a total of 14 marbles from both bags and there are a possible 9 white marbles, it would be a total of 9 out of 14, or it would be separate and be a 3 out of 5 chance with a 6 out of 9 chance.
Two objects that are the same shape but not the same size are ___
Answer:
The answer to your question: Similar
Step-by-step explanatioN
i picked this answer because they have one comparison- same shape
what is comparison- the same features in something between 2 objects or more
this also means similar
so it is similar
Answer:
Similar
Step-by-step explanation:
Find the area of the shape below
Answer:
32 units^2
Step-by-step explanation:
This is a trapezoid
The area of a trapezoid is found by
A = 1/2 (b1+b2) h
A = 1/2 ( 4+12) *4
A = 1/2 (16) *4
A =32
Answer:
I think the answer is 32.!
Step-by-step explanation:
Anyone please correct me if I'm wrong.
I would divide the 12 into 3 to get 4 for the 3 parts.
I will start with the triangle on the left 4 times 4=16. Divide it 1/2, which you get 8.
On the triangle on the right is the same, so 8.
The middle is 4 times 4=16.
Last 8+8+16=32.
I think the answer is 32 units.!
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
to add the two equations, you have to make sure that the y's are the same. you would do this by multiplying each equation by the other equation's y variable
Share 30 oranges between Alan and Andy in the ratio 6:4. Alan gets_
[tex]\frac{30}{6+4}[/tex]
[tex]\frac{30}{10}[/tex]
[tex]=3[/tex]
[tex]3*6:3*4[/tex]
[tex]18:12[/tex]
Julie needs to cut 4 pieces of yam, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the
length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the
total length of all of the yarn that she ends up cutting, y is the graph of the equation continuous or discrete?
Answer:
She has to cut another piece = 7.75 inches
Total length = 4x + 7.75
This is what y represent, so
y = 4x + 7.75
The graph of the equation is continuous
find the area of the shape below
Answer:
The figure is a composite shape.
Theres 1 triangle and 1 rectangle
The formula to find the area of the triangle is 1/2 x base x height
1/2 x 7 x 3 = 10.5 units^2
The formula to find the area of the rectangle is base x height
7 x 3 = 21 units^2
Then add up all the areas to find the area of the entire shape.
10.5 units^2 + 21 units^2 = 31.5 units^2
plz mark brainliest if this helped :)
Given: cos∅ =-4/5 , sinФ = -12/13 , ∅ is in the third quadrant, and Ф is in the fourth quadrant. Evaluate Sin(∅+Ф)
Answer:
63/65
Step-by-step explanation:
the angles are in fourth and third quadrants so all the sin and cos values are minus
Dorinda worked 2 part- time jobs and earned $234.50 for working a total of 30 hours at both jobs. She is paid $7.50 per hour at Job A and $8.00 per hour at Job B. How many hours did Dorinda work at Job A?
Answer:
Dorinda worked at Job A for 11 hours
Step-by-step explanation:
Step one
This is a word that leads to simultaneous.
Let us begin by modeling the system of equation from the problem
Let x and y be the number of hours worked in both jobs A and B respectively
Step two
x+y=30---------1
7.5x+8y=234.50----2
Solving the equations simultaneously we have
1. Multiplying equation 1 by 8 and equation 2 by 1 and subtracting from equation 2 to find y
8x+8y=240---------1
- 7.5x+8y=234.50----2
=0.5x=5.5
x=5.5/0.5
x= 11hrs
Substituting x=11 in equation 1 we can find y
11+y=30
y= 30-11
y= 19hrs
given that f(x)=2x+1, a) find f(2) b) find f -1(x) c) find f-1(7)
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 2x + 1
(a)
To evaluate f(2) substitute x = 2 into f(x), that is
f(2) = 2(2) + 1 = 4 + 1 = 5
(b)
let y = f(x) and rearrange making x the subject
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
change y back into terms of x and x = [tex]f^{-1}[/tex] (x) , thus
[tex]f^{-1}[/tex] (x ) = [tex]\frac{x-1}{2}[/tex]
(c)
To evaluate the inverse function substitute x = 7, that is
[tex]f^{-1}[/tex] (7) = [tex]\frac{7-1}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
A prism is a three dimentional shape with the same ________ all the way through
Can anybody fill in the blank?
A prism is a three-dimensional shape with the same cross-section all the way through.
What is prism?A prism is a solid shape that is bound on all its sides by plane faces.
A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.
Hence, a prism is a three-dimensional shape with the same cross-section all the way through.
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Coleen, had a choise between 3/10 of a bag of candy or 3/6 of a bag of candy.if she want to get as much candy as possible, which one should she choose?
Answer:
3/6 of a bag of candy
Step-by-step explanation:
When you do butterfly method, u may have learned or not but u do.
3/10, 3/6
and you multiply across
So, 6x3=18 and 10x3=30
and 3/6 has a higher value, so its correct
i need help asap pllz help !!
Answer:
14/28
Step-by-step explanation:
14/28 reduces down to 1/2
2x - 2y + z= -7
-x + 3y + 2z = 0
x - 4y - 3z= 1
Answer:
Step-by-step explanation:
I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule. Do that by finding the determinant of the matrix, |A|. The matrix A looks like this:
2 -2 1
-1 3 2
1 -4 -3
and we find the determinant of a 3x3 by expanding it. Do that by picking up the first 2 columns and throw them on at the end, like this:
2 -2 1 2 -2
-1 3 2 -1 3
1 -4 -3 1 -4
and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:
[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to
-18 - (-19) = 1
So the determinant of the matrix A is |A| = 1.
Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:
2 -7 1 2 -7
-1 0 2 -1 0
1 1 -3 1 1
and find the determinant of y:
[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to
-15 - (-17) = 2
So the detminant of y is |Ay| = 2
We can solve for the variable now by dividing Ay by A:
2 / 1 = 2
So the solution for y = 2
A. how does your equation from 1b relate to the pendulum equation?'
Classify the following triangle. Check all that apply.
Answer:
The triangle is an acute scalene triangle
Step-by-step explanation:
None of the sides have the same length so the triangle is scalene
All of the angles are less than 90 degrees so all of the angles are acute
The triangle is an acute scalene triangle
At the beginning of a population study , a city had 370,000 people. Each year since the population had grown by 7.9%. Let t be the number for years since start of the study. Let y be the city’s population. Write an exponential function showing the relationship between y and t
Answer:
Population = starting population * ( 1 + rate) ^ years
y = 370,000 * (1.079) ^ t
Step-by-step explanation:
How can you get 2 to the power of -3 from the fraction 1/8?
A Roth IRA is advertised to pay 1.5% annual interest. You researched the rate of inflation to be 1.15% this year. What is the actual or real rate of return on the IRA?
Answer: 0.35%
Step-by-step explanation:
Given the following :
Advertised interest rate = nominal rate = 1.5%
Inflation rate = 1.15%
The real rate of return is calculated by:
[(1 + nominal rate) / ( 1 + inflation rate)] - 1
[(1 + (1.5/100)) / (1 + (1.15/100))] - 1
[(1 + 0.015) / ( 1 + 0.0115)] - 1
[ 1.015 / 1.0115] - 1
1.0034602 - 1 = 0.0034602
Real rate of return = (0.0034602 * 100)%
Real rate of return = 0.346%
Answer: 0.35%
Step-by-step explanation:
Work out the Find the area of the isosceles triangle with sides of 13cm and a base of 10cm. Show your workings
Answer:
60 cm²
Step-by-step explanation:
a=c= 13 cm
b= 10 cm
A=?
------------
A=bh/2
h is the leg of the right triangle with hypotenuse 13 cm and other leg 10/2 cmh= √13²-5²= √169-25= √144= 12 cmA= 10*12/2= 60 cm²What was the ORIGINAL price of an item that cost $55.50 AFTER a 75%
discount? *
Answer:
$222
Step-by-step explanation:
Which polygons are similar? 3 4 2 1 If someone can help me with this and as fast as possible i would amazingly appreciate it
Answer:
1 and 4
Step-by-step explanation:
1 and 4 are similar
have 3 congruent angles
Find the volume of a triangular prism that has a triangle base of14 and height of 17 with a prism height of 5
A patient was given medicine. She took 5 ml of
medicine 3 times in one day. How much medicine did
she take in total that day?
Answer:
15 ml.
Step-by-step explanation:
That is 3 * 5 ml = 15 ml in one day.
Answer:
h9978y
Step-by-step explanation:
use the two graphs to help complete the statements below.
Answer:
graph a: $10 dollars an hour
graph b: 10
Step-by-step explanation:
slope is calculated by rise over run ([tex]\frac{rise}{run}[/tex]) which means how many the line goes up divided by how many the line goes over (to the right)
negative slope is how many the line goes down divided by how many the line goes over (to the right)
A softball pitcher pitches a ball at a speed of 74 miles per hour. What conversion factor can be used to find the speed of the ball in feet per second?
Answer:
5280 ft
-----------
1 mile
Step-by-step explanation:
We need to convert miles to feet and hours to seconds
1 mile = 5280 ft
and
1 hours = 3600 seconds
5280 ft
-----------
1 mile
1 hour
----------
3600 seconds but since this isn't an option
Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y End Fraction?
Answer:
ST/XY
Step-by-step explanation:
(RT/RX)/(RS/RY)= ST/XY
if the shapes are equal and the same then the ratio are equal
if RT is corresponds to RX and RS is corresponds to RY then TS corresponds to TS
how do I find the angles of a triangle when given all the lengths and no angle?
Marjorie needs to cut 7 yards of fabric into sections that are 7 of a yard long. How many sections will she be able to cut from the
fabric?
A
2
B.
14
C.
6/7
D.
49
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So she needs sections that are 1/7th of a yard long
There are 7 'sevenths' in one yard
Multiply this value by the number of yards:
7 x 7 = 49
The answer would be D. 49
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Find the 7th term of the arithmetic sequence. 2, 13, 24, 35, 46,...
Answer: 68
Step-by-step explanation: Each time the number goes up by 11, you can just add 22 ( 2 more steps to the sequence) to the last one given to get the 7th term