solve each quadratic inequality, and graph the solution on a number line y2-17y + 70 < 0
Answer:
Step-by-step explanation:
y^2-17y + 70 < 0
7<y<10 interval is (7,10)
Graph is broken horizontal line across the 10 and 7 lines.
For the value of (y < 7) the given quadratic inequality is satisfied.
What is inequality? What is a mathematical function, equation and expression?inequality : Inequality is a relationship between two expressions or values that are not equal to each other is called inequality.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the following quadratic inequality as follows -
y² - 17y + 70 < 0
The given quadratic inequality is -
y² - 17y + 70 < 0
y² - 17y + 70 < 0
y² - 10y - 7y + 70 < 0
y(y - 10) - 7(y - 10) < 0
(y - 7)(y - 10) < 0
(y - 7) < 0 and (y - 10) < 0
y < 7 and y < 10
y < 7
Therefore, for the value of (y < 7) the given quadratic inequality is satisfied.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Given f(x)= 7x-5. Find the value of f(8)
Answer: 52
Explanation:
You need to replace the x-values with 8 to solve this. So, the equation would look like this. f(8)= 7 x 8 - 5
7 times 8 is 56. 56 minus four is 52 which is your answer.
If you needed to graph this then it would look like this... (8, 52)
The 8 is in the input because it is the x-value (we replace x with 8) and 52 is output/range/y-value because it is the answer.
Giving away 40 points
RECIPE;
24 ML OIL60 G ONIONS0.36 KG POTATOES0.4 L MILKStep-by-step explanation:
96/4=24240/4=601.44/4=1.6/4=Answer: 24 ML OIL
60 G ONIONS
0.36 KG POTATOES
0.4 L MILK
Step-by-step explanation:
There are three toy cars, if you are given two more, but four are taken away, how many are left?
Answer:
4 are left
Step-by-step explanation:
Question 1
III
Knowledge Check
The Barnes family bought 7 bags of cookies. Each bag had 13 cookies. They have since eaten 26 of the cookies. How many cookies do they have left?
Answer:
65
Step-by-step explanation:
7x13=91
91-26=65
thats the answer right there kid
Solve each proportion.
4/9=10/x
Wat is x?
Answer:
x=22.5
Step-by-step explanation:
90=4x
x=22.5
Hope this helps!
I need help.. with thissss
9514 1404 393
Answer:
7.06
Step-by-step explanation:
This triangle can be solved a couple of ways. In the end, they amount to the same thing.
1) The area is ...
A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base
Using GE as the base, the height (DF) is ...
A = (1/2)(17)(DF)
2(60)/17 = DF = 120/17
DF ≈ 7.06
__
2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...
(long side)/(hypotenuse) = DE/GE = DF/DG
DF = DG(DE/GE) = 8(15/17) = 120/17
DF ≈ 7.06
I need the answers like in 5 mins the test will end and it’s unit too
Answer
n= 5cm times x
5cm times 50=250
Step-by-step explanation:
anyone know the answer?
Answer:
3/4
Step-by-step explanation:
3*3=9
3*4=12
Answer: 3/4
Step-by-step explanation:
9/12 divide by 3/3= 4/3
Find the length of the hypotenuse
Answer: 12
Step-by-step explanation:
a^2 times b^2 =c^2
4^2 times 3^2=c^2
16 times 9=c^2
144=c^2
[tex]\sqrt{144}[/tex]=[tex]\sqrt{c^2}[/tex]
12=c
what are two partial products would you add to find 219 x 27
Answer:
22
Step-by-step explanation:
22
Your Turn Given the equation, what are the slope
and y-intercept?
y = 7x + 4
Slope
y-intercept
Answer:
Slope = 7
Y-intercept = 4
Step-by-step explanation:
the equation follows the formula of y=mx+b
m = slope
b = y-intercept
Answer:
slope = 7, y- intercept = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 7x + 4 ← is in slope- intercept form
with slope m = 7 and y- intercept c = 4
What is the coefficient of 4(3)(2)Q
Answer:
24
Step-by-step explanation:
4 x 3 = 12
12 x 2= 24
Coefficient is the number infront of the varible being multiplied. In this case 24 is the coefficient, and Q is the variable.
When the value of yberries directly with x when y equals 75 x equals 1/2 what is the value of y when x is 2 and 1/4
Answer:
337.5
Step-by-step explanation:
direct variation means y=kx (inverse variation is yx=k or y=k/x)
so we are given that:
75=k/2, so k=150 which means:
y=150x now
y(2.25)=150(2.25)=337.5
Hope this helps
Please help!! Thank you :)
Answer:
(a). | b - a | = a - b
Step-by-step explanation:
If a > b, then
(a). b - a < 0 ⇒ - ( b - a ) = a - b (true)
(b). [tex]\frac{a}{b}[/tex] > 0 for some "a" and "b" is true
(c). [tex]\frac{b}{a}[/tex] > 0 is true for some "a" and "b"
(d). | [tex]\frac{b}{a}[/tex] | < 0 (false)
(e). | [tex]\frac{a}{b}[/tex] | > 1 (true if b ≠ 0)
Is f(x)=6x a direct variation
Answer:
[tex]f(x)=6x[/tex] is a direct variation.
Step-by-step explanation:
Given the function
[tex]f(x)=6x[/tex]
We have to determine whether the equation [tex]y=6x[/tex] is a direct variation or not.
As we know that in direction variation, y and x increase or decrease by the same factor by the formula
[tex]y=kx[/tex]
where 'k' is the constant of variation
Given the function
[tex]y=6x[/tex]
Here 6 is the constant of variation ∵ [tex]y=kx[/tex]
Also y and x increase and decrease by the same factor
For example,
when x=6, y = 6(x)=6(6)=36
when x=8, y = 6(x) = 6(8) = 48
Hence, when x increase, the y increases by the same factor.
Therefore, [tex]f(x)=6x[/tex] is a direct variation.
A number y is no more than −8.
An inequality is
How do i answer this
Answer: y = -8
Step-by-step explanation: that is the definition of inequality difference in size, degree, circumstances, etc.; lack of equality.
" inequality"
(-6, -4); y = 1/3x +1
Answer:
y=3x+14
Step-by-step explanation:
Well you already know that the slope is 3
parallel lines always have the same slope.
so then you plug in the point (-6,-4) into y=3x+b
-6 is x and -4 is y
-4=3(-6)+b
-4=-18+b
14=b
so your equation is y=3x+14
Hope this helps :D
Helps me solve this problem please
Answer:
The first one
Step-by-step explanation:
I drew it with my graphic calculator.
1
Vie
3
Jaylan makes limeade using cup water per
cup lime juice. Wanchen makes limeade
f ste
Vid
1
using cup water per cup lime juice. Find the unit rates of water (cups) per lime
2
3
juice (cups). Whose limeade has a weaker lime flavor? Enter your answer as a proper
fraction or a mixed number.
Te
Pri
Part 1 out of 2
Jaylan's limeade contains
Wenchan's limeade contains
cups water per cup of lime juice.
cups water per cup of lime juice.
Answer:
limeade has a weaker lime flavor? Enter your answer as a proper
fraction or a mixed number.
help me plz i am so confused
Answer:
15 idk good luck bro
Step-by-step explanation:
Answer:
around 30 or 40
Step-by-step explanation:
1) If you were standing on the moon, you would weigh 16% of what you weigh on Earth since there is less gravity. If Alejandro weighs 125 pounds on Earth, how much does he weigh on the moon?
Answer:
105 pounds
Step-by-step explanation:
10%=12.5
1%=1.25
12.5+1.25+1.25+1.25+1.25+1.25+1.25=20
125-20=105
I hope this helps xx
Solve the inequality 2/5 ≥ x -4/5
Answer:
X ≤ 6/5
Step-by-step explanation:
solve for the missing variable. x = ?
Answer:
111°
Step-by-step explanation:
Answer:
x = 111
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 75 + 36 = 111
the sum of 7 and 5 times a number is 48. What are the 2 numbers
Answer:
7 and 8.2
Step-by-step explanation:
Let the number be x
Translating the word problem into an algebraic equation;
[tex] 7 + 5x = 48[/tex]
[tex] 5x = 48 - 7 [/tex]
[tex] 5x = 41[/tex]
[tex] x = \frac {41}{5} [/tex]
x = 8.2
Therefore, the two numbers are 7 and 8.2
Check;
7 + 5(8.2) = 7 + 41 = 48
Find the HCF of the following
(i) Two primes 11 and 17.
(ii) Two consecutive numbers 100 and 101
(iii) Two Co-Primes 35 and 60
(iv) Three primes 2, 5 and 13.
Answer:
(i),(ii),(iv) answer: 1
(iii) answer: 5
A rectangle is 5 inches high and 7 inches wide. what is the perimeter?
Answer:
24 inches
Step-by-step explanation:
The perimeter would be 2l + 2w
2(5) + 2(7)
24 inches
Brianna wants to buy a digital camera for a photography class. One store offers the camera for $51 down and a payment plan of $21 per month. The payment plan for a second store is described by y = 15x + 80, where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the camera is paid off in 12 months? Complete the explanation.
The camera at the
(select)
store is cheaper when the camera is paid off in 12 months, because the cost at the first store is $
and the cost at the second store is $
.
Answer:
The second camera. The second camera is $30 cheaper than the first camera.
Step-by-step explanation:
The equation of the first store is y = 20x + 50. Keep this in mind.
Replace x with 12 in each of these equations to determine which is cheaper.
y = 20(12) + 50 = $290
y = 15(12) + 80 = $260
So the second store is cheaper.
For an upcoming school field trip, there must be one adult supervisor for every five children.
If the bus seats 40 people, how many children can go on the trip?
Answer: 32 Childrens maximum I think
Step-by-step explanation: I believe it is 32 because there will be 8 adults for every 32 children (ratio 1 adult:5 children) then convert the ratio to ?adult: availaible seats (40) so multiply by 8 since 5×8 equals 40 and 8×1 equals 8 but the adults have their spots too so 40-8=32
if you wanna brainlist you should like help me so yea lm.ao
Answer:
Step-by-step explanation:
There is no solution.
3(x+4)=3x+4
No matter what you use for x, it will not equal.
Answer:
There is no solution
Step-by-step explanation:
