Answer: b = 14.
Step-by-step explanation:
We have the function:
f(x) = x^2 + b*x - 21
The minimum of a quadratic function will be at the vertex, and the vertex is at the value of x such that:
f'(x) = 2*x + b = 0
then the vertex is at:
x = -b/2
Then the minimum of the function f(x) will be:
f(-b/2) = (-b/2)^2 + b*(-b/2) - 21
and we know that the minimum value is -70, then:
f(-b/2) = -70 = (b^2)/4 - (b^2)/2 - 21
Now we need to solve this equation for b.
-70 = (b^2)/4 - (b^2)/2 - 21
-70 = -(b^2)/4 - 21
-70 + 21 = -(b^2)/4
49 = (b^2)/4
49*4 = b^2
196 = b^2
√196 = b = 14
The value of b is 14.
Plz help!
According to the graph, what are the domain and range of f(x)
Answer:
Domain: [0, 40]
Range: [0, 20]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Range is the set of y-values that are outputted by function f(x)Interval Notation - [a, b] denotes inclusive, (a, b) denotes exclusiveStep-by-step explanation:
According to the graph, we see that our x-values span from 0 to 40. Since both are closed dots, they are included in the domain:
Interval Notation [0, 40]
Inequality Notation 0 ≤ x ≤ 40
According to the graph, we see that our y-values span from 0 to 20. Since both are closed dots, they are included in the range:
Interval Notation [0, 20]
Inequality Notation 0 ≤ y ≤ 20
Please answer quick!
Which segment is the image of Line segment A B reflected across the line y = negative 2?
On a coordinate plane, segment A B goes from (2, negative 7) to (8, negative 3), segment J K goes from (2, 7) to (8, 3), segment G H goes from (2, 3) to (8, negative 1), segment F A goes from (negative 4, negative 3) to (2, negative 7), and C D goes from (negative 8, negative 3) to (negative 2, negative 7).
A.)Line segment A F
B.)Line segment D C
C.)Line segment G H
D.)Line segment J K
Answer:
C on edge 2021
Step-by-step explanation:
Answer: GH
Step-by-step explanation:
I need help due tmmr
Answer: C.
Step-by-step explanation:
The answer is C. i believe
You have to subtract 2 by 7x = 33
I hope this helps!
Lol helpppppppp meee plsssss!!!!
Answer:
83.3%
Step-by-step explanation:
5/6~=0.833
which is 83.3%
Pleaseee help answer correctly !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
Match each of the equations with their corresponding graph
Answer:
equation a and graph E
equation b and graph a
equation c and graph b
equation d and graph D
Step-by-step explanation:
Solve the equations: √y^6=-y^3
Answer:
√y^6=-y^3
y^6/2=-y^3
y^3+y^3=1
2y^3=1
y^3=1/2
y=
[tex] \sqrt[3]{1 \div 2 } [/tex]
I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!
x/4 < −1.5
Answer:
x < -6
Step-by-step explanation:
[tex]\frac{x}{4} < -1.5[/tex]
to isolate x, multiply both sides by 4
[tex](4) \frac{x}{4} < -1.5 (4)[/tex]
which gives you:
x < -6
Solve: 2(3x-4)(x+5)=0
Answer:
x= 4/3 or x=−5
Step-by-step explanation:
Find three ways that you can make the sum of 7/4
Answer:
1. use fractions
3/4+4/4= 7/4
2. use decimals
0.75+1.00= 7/4
3. find equivalent fractions
3/4= 75/100
4/4= 100/100
75/100+100/100= 175/100
The three ways that in which the sum 7/4 is found are -
1/4 + 6/4 = 7/45/4 + 2/4 = 7/43/4 + 4/4 = 7/4What is the definition of the fraction?Fractions are categorized as a mathematical value that represents a portion of a whole. A fraction is a portion or segment of any quantity taken from the whole, which can be such a number, a fixed number, or a thing.Proper fractions are those whose numerator is less than the denominator. Proper fractions include 5/7, 3/8, and so on.An improper fraction is one where the numerator is greater than or equal to the denominator. It is always equal to or greater than that of the total. For instance, 4/3, 5/2, and so on.For the given question, the given number is 7/4.
This number can be formed in ways as;
1/4 + 6/4 = 7/45/4 + 2/4 = 7/43/4 + 4/4 = 7/4Thus, three ways that in which the sum 7/4 is found are made.
To know more about the fraction, here
https://brainly.com/question/17220365
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will give brainly
(11x^11) (4x^4)
Answer:
The answer is 44x^15
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
brainly, please?
Help!!Suppose f (x) = x-4. Find the graph of
3/4 f(x)
Answer:
Jcjdhdydifcjxjdfvb graph1
7W + 5 + 6 + 3w
Just help me pleAsee
Answer:
the answer is 10w + 11
Answer right to get points
Answer:
C) -1 7/12
Step-by-step explanation:
-6 1/3 divided by 4=-19/12
reduce:
-1 7/12
you will have BRAINLYEST
Which net represents this solid figure?
Answer:
D
Step-by-step explanation:
Nijah has 45 stickers
she gives 2/5 to her sister and
the remaining 1/3 to brett
how many dose she have left ?
Answer: 6
Step-by-step explanation:
what is the length of line segment FH?
Answer:
19 is the answer
Step-by-step explanation:
15+4=19
Answer:
Hi how are you doing today Jasmine
Write an expression, in its simplest form, for the volume of this cuboid:
Answer:
volume of cuboid=l×b×h
=2x+7+x+5
Answer:
volume of cuboid= l×b×h=(2x+7)x×5=5x×2x+5x×7
=10x²+35x
Which of these numbers lines is the X-axis?
Answer:
the one going this way -------------------------- not up and down
Step-by-step explanation:
Answer:
Step-by-step explanation:
the one on the right
is saving money to buy a game. So far he has saved $36, which is three-fourths of the total cost of the game. How much does the game cost?
PLS HELP ME IM GIVING 10 POINTS FOR THIS!
A ratio that compares a number to 100 is called a percent. True or False?
Answer:
True
Step-by-step explanation:
The statement "a ratio that compares a number to 100 is indeed called a percent" is true.
Percentages are used to express proportions or ratios out of 100. They are commonly denoted by the symbol "%."
Percentages provide a convenient way to represent fractions or parts of a whole in a standardized and easily understandable format.
For example, if a student scores 85 out of 100 on a test, it can be expressed as 85%, indicating that the student achieved 85 out of possible 100 marks.
Thus, the statement "a ratio that compares a number to 100 is indeed called a percent" is true.
Learn more about the percentages here:
brainly.com/question/24159063
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1. What is the last step in constructing an angle?
Help please
For 30 points!!!
Answer:
The second choice. Connect the endpoint and the mark at the angle measure.
Step-by-step explanation:
Answer:
Connect the endpoint and the mark at the angle measure.
Step-by-step explanation:
I need help solving this practice question solve for x
Jada and Priya are trying to solve the equation 2/3+x=4
Jada says, “I think we should multiply each side by 3/2 because that is the reciprocal of 2/3."
Priya says, “I think we should add -2/3 to each side because that is the opposite of 2/3."
1. Which person's strategy should they use?
2. Explain your reasoning.
Answer:
Priya is correct. Because 2/3 is being added to x and not multiplied, then subtracting 2/3 from both sides is the correct action.
Step-by-step explanation:
Let's run through solving it that way:
2/3 + x = 4
2/3 - 2/3 + x = 4 - 2/3
0 + x = 4 - 2/3
x = 4 - 2/3
x = 10/3
One angle of an isosceles triangle measures 26°. Which other angles could be in that isosceles triangle?
Answer:
There are two answers, either of which would work
26°, 26° and 128°26°, 77° and 77°Method:
An isosceles triangle has 2 of the same sides so there are two possible answers:
1) 26° is one of the angles which is the same as another. 26° × 2 = 52° and since there are 180° in a triangle the other angle is 180° - 52° which is 128°. This would make the angles 26°, 26° and 128°
2) 26° is not one of the angles which is the same as another. Since there are 180° in a triangle, the other angles would both be 2 ÷ (180° - 26°) which is 77°. This would make the angless 26°, 77° and 77°
4. Jake wants to make a garden with a border in the corner of his yard. He has lumber in several different lengths. Which three lengths could NOT be used to make a right triangle to fit into the corner of his yard? O 5 ft., 12 ft., 13 ft. O 9 ft., 12 ft., 15 ft. O 16 ft., 12 ft., 20 ft. 0 0 O 10 ft., 12 ft., 15 ft.
Answer:
10 ft., 12 ft., 15 ft.Step-by-step explanation:
Note that for a right triangle, the sum of the square of the hypotenuse is equal to the sum of square of the opposite and the adjacent.
Note that the hypotenuse is the longest side
Checking the given sides 10 ft., 12 ft., 15 ft.
Hypotenuse = 15ft (longest side)
Take the square of 15
15² = 225
Take the sum of square of other two sides
12²+10²
= 144 + 100
= 244
Since 225≠244, hence the three length could not be used to make a right triangle to fit into the corner of his yard
how many significant figures are in 2856.110
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Kinda confused on this one so it would be helpful to answer this for 30 points! And marked!
Answer:
acute
Step-by-step explanation:
straight is just a straight line, 180 degrees perhaps
right is exactly 90 degrees
obtuse is over 90 degrees
Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food? How much did she spend on clothes?
Answer:
food : 22
clothes : 48
Step-by-step explanation:
70 - 26 = 44
44 divided by 2 = 22
22 + 26 = 48
70 - 48 = 22
I will give Brainliest !
Answer:i believe it’s A
Step-by-step explanation:
4,5,3 are almost the same and almost the same rotation just letters are different