Answer:
yes, point (4, 25) satisfies the equation y = 7x + –3
Step-by-step explanation:
to see if the point satisfies the equation, we need to plug in the x coordinate to get y
if y is equal to the y-coordinate, then the point satisfies the equation
if y does not equal the y-coordinate, then the point does not satisfy the equation:
y = 7(4) + - 3
y = 28 + -3
y = 25
does 25 = 25? Yes! so the point satisfied the equation
Answer:
yes
Step-by-step explanation:
7(x)- 3 = y
7(4) - 3 = (y)
28 - 3 = 25
1. Find the factored form of f(x) given it has x-intercepts (-3,0) and (4,0) and f(1)= -6. 2. Find the equation for f(x) given that it has roots of 2 and -3 and f(0)=12. Please someone help
Answer:
1) f(x) = 0.5*(x + 3)*(x - 4)
2) f(x) = -2*x^2 - 2*x + 12
Step-by-step explanation:
Wen we have a quadratic function like:
f(x) = a*x^2 + b*x + c*x
And it has roots at x1 and x2, we can write the function in the factored form as:
f(x) = a*(x - x1)*(x - x2)
then:
1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6
we have:
x1 = -3
x2 = 4
then we can write f(x) as:
f(x) = a*(x - (-3))*(x - 4)
f(x) = a*(x + 3)*(x - 4)
Where a is a real number.
and now we can use the fact that f(1) = -6
then:
f(1) = a*(1 + 3)*(1 - 4) = -6
a*4*(-3) = -6
a*-12 = -6
a = -6/-12 = 1/2 = 0.5
Then the function is:
f(x) = 0.5*(x + 3)*(x - 4)
2) Now we have roots x = 2 and x = .3
Then:
x1 = 2
x2 = -3
Then this function is something like:
f(x) = a*(x - 2)*(x - (-3))
f(x) = a*(x - 2)*(x + 3)
Now we know that f(0) = 12.
then:
f(0) = a*(0 - 2)*(0 + 3) = 12
a*(-2)*3 = 12
a*(-6) = 12
a = 12/-6 = -2
f(x) = -2*(x - 2)*(x + 3)
And we do not want this one written in factored form, so we can just distribute the multiplications to et:
f(x) = -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12
f(x) = -2*x^2 - 2*x + 12
Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?
Answer:
$1.98
Step-by-step explanation:
$33.00 x 0.06 = $1.98
6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?
Answer:
86
Step-by-step explanation:
add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86
x(3x - 5) please and 5x(x - 3y) urgent !
Answer: 3x^2-5x
5x^2-15xy
Step-by-step explanation:
Answer:
3x² - 5x & 5x² - 15 xy
Step-by-step explanation:
1) x(3x - 5)
x × 3x - x × 5 (take the brackets out)
3x² - 5x.
2) 5x (x - 3y)
5x × x - 5x × 3y (take the brackets out)
5x² - 15 xy
simplify the product.
[tex]10\sqrt{12x^{3} } . 2\sqrt{6x^{5} }[/tex]
full calculations please!!
Answer:
[tex]120x^4\sqrt{2}[/tex]
Step-by-step explanation:
First we need to break down the numbers in the radicals into its factors
so
12= 3*2*2
x³=x*x*x
Which means we have
[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]
and
[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]
Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here
which means we have
[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]
-16+ x= -15
Need this answer
Answer:
x=1
Step-by-step explanation:
Add
16
to both sides of the equation.x=−15+16 Add −15 and 16.x=1
Answer:
Step-by-step explanation:
-16 + x = - 15
Add 16 to both sides
-16 + 16 + x = -15 + 16
x = 1
A class has a ratio of 1: 2 girls to boys. A class has a ratio of 1: 2 girls to boys.
a) What fraction are girls?
b) What fraction are boys?
c) If there are 10 girls in the class, how many boys are there
Answer:
Attached
Step-by-step explanation:
PLEASE HELP ASAP (8th grade question)
Answer:
m∠2=35°, m∠1=35°
Step-by-step explanation:
∠2 and ∠4 equal 180° when added, so 180-145=35
all angles of a triangle equal 180°, so 180-∠3-∠2=∠1
180-110-35= 35
Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?
Answer:
$4,675
Step-by-step explanation:
The commission is 5.5% of $85,000.
5.5% * $85,000 =
= 0.055 * $85,000
= $4,675
Answer:
$4675
Step-by-step explanation:
85,000 x .055 = 4,675
Hope that helps!
Jenny bought gas for her car gas cost $3.45 per gallon Jenny bought 12.5 gallons what was the total of Jenny's gas
Answer: $43.13
Step-by-step explanation:
The cost of a gallon of gasoline is $3.45.
Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:
= Cost of a gallon * number of gallons purchased
= 3.45 * 12.5
= $43.13
Answer:
43.14
Step-by-step explanation:
PLEASE HELP :)))
triangle similarity theorem
Answer:
9i
Step-by-step explanation
Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at
Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
Step-by-step explanation:
Let x = part of movie watched at night.
Given : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.
Part left to watch = [tex]\dfrac13[/tex]
As per given, we have
[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]
Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
The lunch special at Manal's Restaurant is a sandwich, a drink and a dessert. There are 4 sandwiches, 2 drinks, and I dessert to choose from. How many lunch
specials are possible?
5 ?
Answer:
There is 8 possible combinations.
Step-by-step explanation:
4 sandwiches: turkey, ham, cheese, chicken
2 drinks: milk, water
1 desert: cake
possible combinations:
1: turkey, milk, cake
2:turkey, water, cake
3: ham, milk, cake
4: ham, water cake
5: cheese, milk, cake
6: cheese, water, cake
7: chicken, milk, cake
8: chicken, water, cake
What is the volume of this rectangular prism?
Answer:
1cm³
Step-by-step explanation:
You do not need a calculator for this.
The formula for the volume of a rectangular prism is:
Length × Width × Height = Volume
If we substitute our numbers in:
5/4 × 4/3 × 3/5 = 1cm³
All you need to do is multiply across.
5 × 4 × 3 = 60
4 × 3 × 5 = 60
The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.
60/60
pls Help I hate math
Answer:
C
Step-by-step explanation:
Remark
There are three rectangles all the same size.
There are two triangles both the same size
Triangles.
Givens
b = 7.5 cm
h = 6.5
Solution
Area 1 triangle = 1/2 * 7.5 * 6.5
Area 1 triangle = 24.375
Area 2 triangles = 2*24.375 = 48.75
Rectangles
Givens
L = 13.5
w = 7.5
Solution
Area one rectangle = L*w
Area one rectangle = 13.5*7.5
Area one rectangle = 101.25
Area three rectangles = 3*101.25
Area three rectangles = 303.75 Add
Total Area = 352.5
Write an equation in slope intercept form given m=2 and b=1
whoever guesses my birth month first gets the brainliest
13x - (10x + 11) + 6 = 13
PLEASE SHOW WORK
Answer:
x = 6
Step-by-step explanation:
Arrange these decimals from least to greatest.
6.00
0.56
0.060
0.6
0.056
Also if I'm right can you let me know, please?
Also Also if I am right can I please have Brainliest??
You don't need to, I'm just glad I could help. ^^
~You're a beautiful person, and worth so much, no matter your race or gender.
You deserve the world and more, and if I could give it to you, I would!
So please don't let anyone say otherwise, there are so many people in this world who love you, including me.
And if someone can't see your beauty then they're rather blind or you're just too bright for them!
Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!
(Not in a weird way lol I love and care for everyone genuinely)
6. Find the measure of each
marked angle.
The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.
The angles are given as:
∠1 = 10x-20 and ∠2 = 7x+4
As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.
By alternate exterior angles, it can be written as:
∠1 = ∠2
10x-20 = 7x+4
10x -7x = 4 + 20
3x = 24
x = 24/3
x = 3
From given angles:
80 - 20 = 60
56 + 4 = 60
Thus, the measure of each marked angle is 60 degrees.
Learn more about alternate exterior angles here:
https://brainly.com/question/23134598
#SPJ6
I need help please i'll give brainly
Answer:
145) A
146) C
147) B
148) D
please help picture shown above... which one doesn’t belong and why?
A warehouse has shelves that can hold 8, 12 or 16 each shelf has section holding the same number of skateboards. What is the greatest number of skate boards that can be put in a section
Answer:
4 skate boards
Step-by-step explanation:
We solve this question using Greatest Common Factor method
We find the factors of 8, 12 and 16
The factors of 8 are: 1, 2, 4, 8
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 16 are: 1, 2, 4, 8, 16
Then the greatest common factor is 4.
Thereeft, ,the greatest number of skate boards that can be put in a section is 4 skate boards
Peter wrote five numbers. Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose that all apply 56, 52, 42, 35, 27,
Answer:
56
42
35
Step-by-step explanation:
plssssssssssssssssss hellllllllllp meeeee
Answer:4b+5=1+5b
Step-by-step explanation: b= 14b I HOPE THIS HELPS AND HAVE A GOOD DAY!!!! And i really do hope this did help.
4y + 15.5 = 45.5
what is y?
Answer:
Y=7.5
Step-by-step explanation:
PLSSSSS HELP ME BEST ANSWER GETS BRAINLIEST
Answer:
40
Step-by-step explanation:
basexheight= area
8x10= 80
80/2=40
pls brainliest
can someone plz help me?
Answer: x = 2
Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2
answer
1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.
What is the volume of the right triangular prism shown?
for brainlist
Answer: C
Step-by-step explanation:
Answer:
V = 567 yd³
Step-by-step explanation:
[tex]V = \frac{1}{2} ach[/tex]
[tex]V = \frac{1}{2}(9)(6)(21)[/tex]
V = 567 yd³
Math Is hard please
Answer:
60 cubic inches
Step-by-step explanation:
each square is one cubic inch
find the dimensions
height=2 cubic inches
width=5 cubic inches
length=6 cubic inches
finding volume so lenght*width*height, or 2*5*6, which is 60
60 cubic inches